Document Zbl 1458.45001

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Appl. Anal. Comput.</a> <a href="/?q=in%3A461399" title="Articles in this Issue">9, No. 3, 1071-1082 (2019)</a>. </div> <div class="abstract">Summary: In this paper, we study a class of singular integral-different equations of convolution type with Cauchy kernel. By means of the classical boundary value theory, of the theory of Fourier analysis, and of the principle of analytic continuation, we transform the equations into the Riemann-Hilbert problems with discontinuous coefficients and obtain the general solutions and conditions of solvability in class $\{0\}$. Thus, the result in this paper generalizes the classical theory of integral equations and boundary value problems.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7334240">Cited in <strong>15</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A45E05" title="MSC2020">45E05</a> </td> <td class="space"> Integral equations with kernels of Cauchy type </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A45E10" title="MSC2020">45E10</a> </td> <td class="space"> Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A30E25" title="MSC2020">30E25</a> </td> <td class="space"> Boundary value problems in the complex plane </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Asingular+integral-differential+equations">singular integral-differential equations</a>; <a href="/?q=ut%3ARiemann-Hilbert+problems">Riemann-Hilbert problems</a>; <a href="/?q=ut%3Aintegral+operators">integral operators</a>; <a href="/?q=ut%3ACauchy+kernel">Cauchy kernel</a>; <a href="/?q=ut%3Aconvolution+type">convolution type</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 1458.45001" data-ciurl="/ci/07334240" data-biburl="/bibtex/07334240.bib" data-amsurl="/amsrefs/07334240.bib" data-xmlurl="/xml/07334240.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07334240.pdf" title="Zbl 1458.45001 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/10.11948/2156-907X.20180264" aria-label="DOI for “On solvability of singular integral-differential equations with convolution”" title="10.11948/2156-907X.20180264">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">R. 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