Document Zbl 1432.34010

<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Zbl 1432.34010 - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive, noindex"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. Do you agree to this?\n\nPlease refer to our Privacy Policy to learn more about our use of cookies.')" > <input type="hidden" name="path" value="/1432.34010?"> <span class=""> <label class="title">Search Form</label> <div class="form-group"> <input id="search-multi-line" type="radio" name="search" value="multi-line" checked> <label for="search-multi-line" class="radio">Multi-Line Search (default)</label> </div> <div class="form-group"> <input id="search-one-line" type="radio" name="search" value="one-line"> <label for="search-one-line" class="radio">One-Line Search</label> </div> </span> <span class="count"> <label class="title">Hits per Page</label> <div class="form-group"> <input id="count-10" type="radio" name="count" value="10"> <label for="count-10" class="radio">10</label> </div> <div class="form-group"> <input id="count-20" type="radio" name="count" value="20"> <label for="count-20" class="radio">20</label> </div> <div class="form-group"> <input id="count-50" type="radio" name="count" value="50"> <label for="count-50" class="radio">50</label> </div> <div class="form-group"> <input id="count-100" type="radio" name="count" value="100" checked> <label for="count-100" class="radio">100 (default)</label> </div> <div class="form-group"> <input id="count-200" type="radio" name="count" value="200"> <label for="count-200" class="radio">200</label> </div> </span> <span class="format"> <label class="title">Display Format</label> <div class="form-group"> <input id="format-mathjax" type="radio" name="format" value="mathjax" checked> <label for="format-mathjax" class="radio">MathJax (default)</label> </div> <div class="form-group"> <input id="format-amstex" type="radio" name="format" value="latex"> <label for="format-amstex" class="radio">LaTeX</label> </div> </span> <span class="ranking"> <label class="title">Documents Sorting</label> <div class="form-group"> <input id="documents-ranking-default" type="radio" name="documents_ranking" value="date" checked> <label for="documents-ranking-default" class="radio">Newest first (default)</label> </div> <div class="form-group"> <input id="documents-ranking-references" type="radio" name="documents_ranking" value="references"> <label for="documents-ranking-references" class="radio">Citations</label> </div> <div class="form-group"> <input id="documents-ranking-relevance" type="radio" name="documents_ranking" value="relevance"> <label for="documents-ranking-relevance" class="radio">Relevance</label> </div> </span> <span class="ranking"> <label class="title">Authors Sorting</label> <div class="form-group"> <input id="authors-ranking-default" type="radio" name="authors_ranking" value="alpha" checked> <label for="authors-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="authors-ranking-references" type="radio" name="authors_ranking" value="references"> <label for="authors-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Serials Sorting</label> <div class="form-group"> <input id="serials-ranking-default" type="radio" name="serials_ranking" value="alpha" checked> <label for="serials-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="serials-ranking-references" type="radio" name="serials_ranking" value="references"> <label for="serials-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Software Sorting</label> <div class="form-group"> <input id="software-ranking-default" type="radio" name="software_ranking" value="references" checked> <label for="software-ranking-default" class="radio">Citations (default)</label> </div> <div class="form-group"> <input id="software-ranking-alpha" type="radio" name="software_ranking" value="alpha"> <label for="software-ranking-alpha" class="radio">Alphabetically</label> </div> </span> <button type="submit" class="btn btn-default">OK</button> <div class="clearfix"> </form> </li> </ul> </li> </ul> </div> </div> </nav> <div id="tabs"> <h1 class="logo"> <a class="logo" href="/"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open — the first resource for mathematics" > </a> </h1> <nav> <ul class="nav nav-tabs"> <li class="tab-documents active"> <a href="/">Documents</a> </li> <li class="tab-authors"> <a href="/authors/">Authors</a> </li> <li class="tab-serials"> <a href="/serials/">Serials</a> </li> <li class="tab-software"> <a href="/software/">Software</a> </li> <li class="tab-classification"> <a href="/classification/">Classification</a> </li> <li class="tab-formulae"> <a href="/formulae/">Formulæ</a> </li> </ul> </nav> <div class="clearfix"></div> </div> <div class="content-fixed"> <div class="content-formular"> <div style="display: none;"> <div class="row ml-0"id="multi-line-new-line" style="display: none;"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-0-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input"> <span class="multi-line-value" id="multi-line-type-range"><span style="padding-left: 5px;">from</span> <input name="ml-0-v1" class="form-control multi-line-input" type="text" value="" aria-label="value"> until <input name="ml-0-v2" class="form-control multi-line-input" type="text" value="" aria-label="value"></span> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-la" placeholder="use name or ISO code"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-rv" placeholder="enter name or zbMATH reviewer number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-an" placeholder="Zbl, JFM or ERAM number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-en" placeholder="e.g. DOI, ISBN, arXiv ID"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a> </li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid"> <input type="hidden" id="multi-line-ml" name="ml" value="3"> <div id="multi-line-row-wrapper"> <div class="row ml-1"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-1-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="an:1432.34010" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>  </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>  </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki & ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main"> <div class="content-item"><div class="item"> <article> <div class="author"><a href="/authors/ding.youzheng" title="Author Profile">Ding, Youzheng</a>; <a href="/authors/jiang.jiqiang" title="Author Profile">Jiang, Jiqiang</a>; <a href="/authors/oregan.donal" title="Author Profile">O’Regan, Donal</a>; <a href="/authors/xu.jiafa" title="Author Profile">Xu, Jiafa</a></div> <h2 class="title"> <strong>Positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.</strong> <i>(English)</i> <a class="label nowrap" href="/1432.34010">Zbl 1432.34010</a> </h2> <div class="source"> <a href="/serials/2128" title="Journal Profile">Complexity</a> <a href="/?q=in%3A444991" title="Articles in this Issue">2020, Article ID 9742418, 14 p. (2020)</a>. </div> <div class="abstract">Summary: In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7160136">Cited in <strong>16</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A34A08" title="MSC2020">34A08</a> </td> <td class="space"> Fractional ordinary differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34A30" title="MSC2020">34A30</a> </td> <td class="space"> Linear ordinary differential equations and systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34B18" title="MSC2020">34B18</a> </td> <td class="space"> Positive solutions to nonlinear boundary value problems for ordinary differential equations </td> </tr></table> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1432.34010" data-ciurl="/ci/07160136" data-biburl="/bibtex/07160136.bib" data-amsurl="/amsrefs/07160136.bib" data-xmlurl="/xml/07160136.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07160136.pdf" title="Zbl 1432.34010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1155/2020/9742418" aria-label="DOI for “Positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities”" title="10.1155/2020/9742418">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Xu, J.; Wei, Z.; Ding, Y., Positive solutions for a boundary-value problem with Riemann-Liouville fractional derivative, Lithuanian Mathematical Journal, 52, 4, 462-476 (2012) · <a href="/1266.34017" class="nowrap">Zbl 1266.34017</a> · <a href="https://doi.org/10.1007/s10986-012-9187-z" class="nowrap">doi:10.1007/s10986-012-9187-z</a></td> </tr><tr> <td>[2]</td> <td class="space">Pu, R.; Zhang, X.; Cui, Y.; Li, P.; Wang, W., Positive solutions for singular semipositone fractional differential equation subject to multipoint boundary conditions, Journal of Function Spaces, 2017 (2017) · <a href="/1410.34030" class="nowrap">Zbl 1410.34030</a> · <a href="https://doi.org/10.1155/2017/5892616" class="nowrap">doi:10.1155/2017/5892616</a></td> </tr><tr> <td>[3]</td> <td class="space">Zou, Y.; He, G., On the uniqueness of solutions for a class of fractional differential equations, Applied Mathematics Letters, 74, 68-73 (2017) · <a href="/1376.34014" class="nowrap">Zbl 1376.34014</a> · <a href="https://doi.org/10.1016/j.aml.2017.05.011" class="nowrap">doi:10.1016/j.aml.2017.05.011</a></td> </tr><tr> <td>[4]</td> <td class="space">Yue, Z.; Zou, Y., New uniqueness results for fractional differential equation with dependence on the first order derivative, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1458.34034" class="nowrap">Zbl 1458.34034</a> · <a href="https://doi.org/10.1186/s13662-018-1923-1" class="nowrap">doi:10.1186/s13662-018-1923-1</a></td> </tr><tr> <td>[5]</td> <td class="space">Fu, Z.; Bai, S.; O’Regan, D.; Xu, J., Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives, Journal of Inequalities and Applications, 2019, 1 (2019) · <a href="/1499.34139" class="nowrap">Zbl 1499.34139</a> · <a href="https://doi.org/10.1186/s13660-019-2058-y" class="nowrap">doi:10.1186/s13660-019-2058-y</a></td> </tr><tr> <td>[6]</td> <td class="space">Zhang, K.; O’Regan, D.; Xu, J.; Fu, Z., Nontrivial solutions for a higher order nonlinear fractional boundary value problem involving Riemann-Liouville fractional derivatives, Journal of Function Spaces, 2019 (2019) · <a href="/1425.34031" class="nowrap">Zbl 1425.34031</a> · <a href="https://doi.org/10.1155/2019/2381530" class="nowrap">doi:10.1155/2019/2381530</a></td> </tr><tr> <td>[7]</td> <td class="space">Zhang, Y., Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance, Journal of Inequalities and Applications, 2018, 1 (2018) · <a href="/1498.34051" class="nowrap">Zbl 1498.34051</a> · <a href="https://doi.org/10.1186/s13660-018-1792-x" class="nowrap">doi:10.1186/s13660-018-1792-x</a></td> </tr><tr> <td>[8]</td> <td class="space">Zhang, Y.; Bai, Z.; Feng, T., Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance, Computers & Mathematics with Applications, 61, 4, 1032-1047 (2011) · <a href="/1217.34031" class="nowrap">Zbl 1217.34031</a> · <a href="https://doi.org/10.1016/j.camwa.2010.12.053" class="nowrap">doi:10.1016/j.camwa.2010.12.053</a></td> </tr><tr> <td>[9]</td> <td class="space">Qi, T.; Liu, Y.; Zou, Y., Existence result for a class of coupled fractional differential systems with integral boundary value conditions, The Journal of Nonlinear Sciences and Applications, 10, 7, 4034-4045 (2017) · <a href="/1412.34082" class="nowrap">Zbl 1412.34082</a> · <a href="https://doi.org/10.22436/jnsa.010.07.52" class="nowrap">doi:10.22436/jnsa.010.07.52</a></td> </tr><tr> <td>[10]</td> <td class="space">Qi, T.; Liu, Y.; Cui, Y., Existence of solutions for a class of coupled fractional differential systems with nonlocal boundary conditions, Journal of Function Spaces, 2017 (2017) · <a href="/1375.34013" class="nowrap">Zbl 1375.34013</a> · <a href="https://doi.org/10.1155/2017/6703860" class="nowrap">doi:10.1155/2017/6703860</a></td> </tr><tr> <td>[11]</td> <td class="space">Xu, J.; Goodrich, C. S.; Cui, Y., Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113, 2, 1343-1358 (2019) · <a href="/1417.39030" class="nowrap">Zbl 1417.39030</a> · <a href="https://doi.org/10.1007/s13398-018-0551-7" class="nowrap">doi:10.1007/s13398-018-0551-7</a></td> </tr><tr> <td>[12]</td> <td class="space">Cheng, W.; Xu, J.; Cui, Y.; Ge, Q., Positive solutions for a class of fractional difference systems with coupled boundary conditions, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1459.39011" class="nowrap">Zbl 1459.39011</a></td> </tr><tr> <td>[13]</td> <td class="space">Cheng, W.; Xu, J.; Cui, Y., Positive solutions for a system of nonlinear semipositone fractional q-difference equations with q-integral boundary conditions, The Journal of Nonlinear Sciences and Applications, 10, 8, 4430-4440 (2017) · <a href="/1412.34080" class="nowrap">Zbl 1412.34080</a> · <a href="https://doi.org/10.22436/jnsa.010.08.35" class="nowrap">doi:10.22436/jnsa.010.08.35</a></td> </tr><tr> <td>[14]</td> <td class="space">Wang, F.; Cui, Y., Positive solutions for an infinite system of fractional order boundary value problems, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1459.34079" class="nowrap">Zbl 1459.34079</a> · <a href="https://doi.org/10.1186/s13662-019-2111-7" class="nowrap">doi:10.1186/s13662-019-2111-7</a></td> </tr><tr> <td>[15]</td> <td class="space">Qiu, X.; Xu, J.; O’Regan, D.; Cui, Y., Positive solutions for a system of nonlinear semipositone boundary value problems with Riemann-Liouville fractional derivatives, Journal of Function Spaces, 2018 (2018) · <a href="/1393.34018" class="nowrap">Zbl 1393.34018</a> · <a href="https://doi.org/10.1155/2018/7351653" class="nowrap">doi:10.1155/2018/7351653</a></td> </tr><tr> <td>[16]</td> <td class="space">Hao, X.; Wang, H.; Liu, L.; Cui, Y., Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator, Boundary Value Problems, 2017, 1 (2017) · <a href="/1398.35269" class="nowrap">Zbl 1398.35269</a> · <a href="https://doi.org/10.1186/s13661-017-0915-5" class="nowrap">doi:10.1186/s13661-017-0915-5</a></td> </tr><tr> <td>[17]</td> <td class="space">Zhang, X.; Liu, L.; Zou, Y., Fixed-point theorems for systems of operator equations and their applications to the fractional differential equations, Journal of Function Spaces, 2018 (2018) · <a href="/1477.47057" class="nowrap">Zbl 1477.47057</a> · <a href="https://doi.org/10.1155/2018/7469868" class="nowrap">doi:10.1155/2018/7469868</a></td> </tr><tr> <td>[18]</td> <td class="space">Zhang, X.; Liu, L.; Wu, Y.; Zou, Y., Existence and uniqueness of solutions for systems of fractional differential equations with Riemann-Stieltjes integral boundary condition, Advances in Difference Equations, 2018, 1 (2018) · <a href="/1446.34021" class="nowrap">Zbl 1446.34021</a> · <a href="https://doi.org/10.1186/s13662-018-1650-7" class="nowrap">doi:10.1186/s13662-018-1650-7</a></td> </tr><tr> <td>[19]</td> <td class="space">Li, H.; Zhang, J., Positive solutions for a system of fractional differential equations with two parameters, Journal of Function Spaces, 2018 (2018) · <a href="/1406.34012" class="nowrap">Zbl 1406.34012</a> · <a href="https://doi.org/10.1155/2018/1462505" class="nowrap">doi:10.1155/2018/1462505</a></td> </tr><tr> <td>[20]</td> <td class="space">Zhao, Y.; Hou, X.; Sun, Y.; Bai, Z., Solvability for some class of multi-order nonlinear fractional systems, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1458.34035" class="nowrap">Zbl 1458.34035</a> · <a href="https://doi.org/10.1186/s13662-019-1970-2" class="nowrap">doi:10.1186/s13662-019-1970-2</a></td> </tr><tr> <td>[21]</td> <td class="space">Zhao, Y.; Sun, Y.; Wang, Y.; Bai, Z., Asymptotical stabilization of the nonlinear upper triangular fractional-order systems, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1459.93150" class="nowrap">Zbl 1459.93150</a> · <a href="https://doi.org/10.1186/s13662-019-2098-0" class="nowrap">doi:10.1186/s13662-019-2098-0</a></td> </tr><tr> <td>[22]</td> <td class="space">Cui, Y., Multiplicity results for positive solutions to differential systems of singular coupled integral boundary value problems, Mathematical Problems in Engineering, 2017 (2017) · <a href="/1426.34036" class="nowrap">Zbl 1426.34036</a> · <a href="https://doi.org/10.1155/2017/3608352" class="nowrap">doi:10.1155/2017/3608352</a></td> </tr><tr> <td>[23]</td> <td class="space">Zhang, K.; Fu, Z., Solutions for a class of Hadamard fractional boundary value problems with sign-changing nonlinearity, Journal of Function Spaces, 2019 (2019) · <a href="/1415.34033" class="nowrap">Zbl 1415.34033</a> · <a href="https://doi.org/10.1155/2019/9046472" class="nowrap">doi:10.1155/2019/9046472</a></td> </tr><tr> <td>[24]</td> <td class="space">Zhang, K.; Wang, J.; Ma, W., Solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations, Journal of Function Spaces, 2018 (2018) · <a href="/1406.34027" class="nowrap">Zbl 1406.34027</a> · <a href="https://doi.org/10.1155/2018/2193234" class="nowrap">doi:10.1155/2018/2193234</a></td> </tr><tr> <td>[25]</td> <td class="space">Wang, J.; Zhang, Y., On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives, Applied Mathematics Letters, 39, 85-90 (2015) · <a href="/1319.34017" class="nowrap">Zbl 1319.34017</a> · <a href="https://doi.org/10.1016/j.aml.2014.08.015" class="nowrap">doi:10.1016/j.aml.2014.08.015</a></td> </tr><tr> <td>[26]</td> <td class="space">Jiang, J.; O’Regan, D.; Xu, J.; Fu, Z., Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions, Journal of Inequalities and Applications, 2019, 1 (2019) · <a href="/1499.34182" class="nowrap">Zbl 1499.34182</a> · <a href="https://doi.org/10.1186/s13660-019-2156-x" class="nowrap">doi:10.1186/s13660-019-2156-x</a></td> </tr><tr> <td>[27]</td> <td class="space">Yukunthorn, W.; Ahmad, B.; Ntouyas, S. K.; Tariboon, J., On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions, Nonlinear Analysis: Hybrid Systems, 19, 77-92 (2016) · <a href="/1331.34017" class="nowrap">Zbl 1331.34017</a> · <a href="https://doi.org/10.1016/j.nahs.2015.08.001" class="nowrap">doi:10.1016/j.nahs.2015.08.001</a></td> </tr><tr> <td>[28]</td> <td class="space">Aljoudi, S.; Ahmad, B.; Nieto, J. J.; Alsaedi, A., A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions, Chaos, Solitons & Fractals, 91, 39-46 (2016) · <a href="/1372.34006" class="nowrap">Zbl 1372.34006</a> · <a href="https://doi.org/10.1016/j.chaos.2016.05.005" class="nowrap">doi:10.1016/j.chaos.2016.05.005</a></td> </tr><tr> <td>[29]</td> <td class="space">Tariboon, J.; Ntouyas, S. K.; Sudsutad, W., Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions, Journal of Nonlinear Sciences and Applications, 9, 1, 295-308 (2016) · <a href="/1330.34025" class="nowrap">Zbl 1330.34025</a> · <a href="https://doi.org/10.22436/jnsa.009.01.28" class="nowrap">doi:10.22436/jnsa.009.01.28</a></td> </tr><tr> <td>[30]</td> <td class="space">Ma, Q.; Wang, R.; Wang, J.; Ma, Y., Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative, Applied Mathematics and Computation, 257, 436-445 (2015) · <a href="/1338.34022" class="nowrap">Zbl 1338.34022</a> · <a href="https://doi.org/10.1016/j.amc.2014.10.084" class="nowrap">doi:10.1016/j.amc.2014.10.084</a></td> </tr><tr> <td>[31]</td> <td class="space">Ma, Q.; Wang, J.; Wang, R.; Ke, X., Study on some qualitative properties for solutions of a certain two-dimensional fractional differential system with Hadamard derivative, Applied Mathematics Letters, 36, 7-13 (2014) · <a href="/1314.34021" class="nowrap">Zbl 1314.34021</a> · <a href="https://doi.org/10.1016/j.aml.2014.04.009" class="nowrap">doi:10.1016/j.aml.2014.04.009</a></td> </tr><tr> <td>[32]</td> <td class="space">Gong, Z.; Qian, D.; Li, C.; Guo, P., On the Hadamard type fractional differential system, Fractional Dynamics and Control (2012), New York, NY, USA: Springer, New York, NY, USA · <a href="https://doi.org/10.1007/978-1-4614-0457-6_13" class="nowrap">doi:10.1007/978-1-4614-0457-6_13</a></td> </tr><tr> <td>[33]</td> <td class="space">Riaz, U.; Zada, A.; Ali, Z.; Cui, Y.; Xu, J., Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives, Advances in Difference Equations, 2019, 1 (2019) · <a href="/1459.34040" class="nowrap">Zbl 1459.34040</a></td> </tr><tr> <td>[34]</td> <td class="space">Riaz, U.; Zada, A.; Ali, Z.; Ahmad, M.; Xu, J.; Fu, Z., Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives, Mathematical Problems in Engineering, 2019 (2019) · <a href="/1435.34016" class="nowrap">Zbl 1435.34016</a> · <a href="https://doi.org/10.1155/2019/5093572" class="nowrap">doi:10.1155/2019/5093572</a></td> </tr><tr> <td>[35]</td> <td class="space">Zhai, C.; Wang, W.; Li, H., A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions, Journal of Inequalities and Applications, 2018, 1 (2018) · <a href="/1498.34050" class="nowrap">Zbl 1498.34050</a> · <a href="https://doi.org/10.1186/s13660-018-1801-0" class="nowrap">doi:10.1186/s13660-018-1801-0</a></td> </tr><tr> <td>[36]</td> <td class="space">Yang, W., Positive solutions for singular coupled integral boundary value problems of nonlinear Hadamard fractional differential equations, Journal of Nonlinear Sciences and Applications, 8, 2, 110-129 (2015) · <a href="/1319.34019" class="nowrap">Zbl 1319.34019</a> · <a href="https://doi.org/10.22436/jnsa.008.02.04" class="nowrap">doi:10.22436/jnsa.008.02.04</a></td> </tr><tr> <td>[37]</td> <td class="space">Kilbas, A. A.; Srivastava, H. M.; Trujillo, J. J., Theory and Applications of Fractional Differential Equations (2006), Boston, MA, USA: Elsevier, Boston, MA, USA · <a href="/1092.45003" class="nowrap">Zbl 1092.45003</a></td> </tr><tr> <td>[38]</td> <td class="space">Guo, D.; Lakshmikantham, V., Nonlinear Problems in Abstract Cones (1988), Orlando, FL, USA: Academic Press, Orlando, FL, USA · <a href="/0661.47045" class="nowrap">Zbl 0661.47045</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

CINXE.COM

Document Zbl 1432.34010 - zbMATH Open