Document Zbl 1458.39002

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S.</a>; <a href="/authors/noorani.mohd-salmi-mohd" title="Author Profile">Noorani, M. S. M.</a>; <a href="/authors/elsayed.elsayed-mohammed" title="Author Profile">Elsayed, E. M.</a></div> <h2 class="title"> <strong>Qualitative analysis of a fourth order difference equation.</strong> <i>(English)</i> <a class="label nowrap" href="/1458.39002">Zbl 1458.39002</a> </h2> <div class="source"> <a href="/serials/7652" title="Journal Profile">J. Appl. Anal. Comput.</a> <a href="/?q=in%3A459312" title="Articles in this Issue">10, No. 4, 1343-1354 (2020)</a>. </div> <div class="abstract">Summary: In this paper, we will investigate some qualitative behavior of solutions of the following fourth order difference equation $x_{n+1}=ax_{n-1}+\frac{bx_{n-1}}{cx_{n-1}-dx_{n-3}}$, $n=0,\ldots 1$, where the initial conditions $x_{-3}$, $x_{-2}$, $x_{-1}$ and $x_0$ are arbitrary real numbers and the values $a$, $b$, $c$ and $d$ are defined as positive real numbers.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7315412">Cited in <strong>4</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A39A10" title="MSC2020">39A10</a> </td> <td class="space"> Additive difference equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A39A30" title="MSC2020">39A30</a> </td> <td class="space"> Stability theory for difference equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A39A22" title="MSC2020">39A22</a> </td> <td class="space"> Growth, boundedness, comparison of solutions to difference equations </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Astability">stability</a>; <a href="/?q=ut%3Aperiodicity">periodicity</a>; <a href="/?q=ut%3Aglobal+attractor">global attractor</a>; <a href="/?q=ut%3Aboundedness">boundedness</a>; <a href="/?q=ut%3Adifference+equations">difference equations</a></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 1458.39002" data-ciurl="/ci/07315412" data-biburl="/bibtex/07315412.bib" data-amsurl="/amsrefs/07315412.bib" data-xmlurl="/xml/07315412.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07315412.pdf" title="Zbl 1458.39002 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/10.11948/20190196" aria-label="DOI for “Qualitative analysis of a fourth order difference equation”" title="10.11948/20190196">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">M. 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