<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T01:18:37Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15312" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15312</identifier><datestamp>2026-10-18T20:43:08Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Inverse problem for the quadratic pencil of the Sturm-Liouville equations</dc:title><dc:creator>Panakhov, Etibar S.</dc:creator><dc:creator>Tas, Kezban</dc:creator><dc:creator>Sat, Murat</dc:creator><dc:contributor>T.E., Simos</dc:contributor><dc:contributor>C., Tsitouras</dc:contributor><dc:subject>Boundary value problems</dc:subject><dc:subject>Liouville equation</dc:subject><dc:subject>Numerical analysis</dc:subject><dc:subject>Diffusion operators</dc:subject><dc:subject>Potential function</dc:subject><dc:subject>Spectral characteristics</dc:subject><dc:subject>Sturm-Liouville equation</dc:subject><dc:subject>Wellposedness</dc:subject><dc:subject>Inverse problems</dc:subject><dc:description>In this paper, we study the wellposedness of the inverse problem for the quadratic pencil of the Sturm-Liouville equation (diffusion operator). We will consider two different problem for diffusion operator. By using the Mizutani's method, we will prove that if the spectral characteristics of this problems are close to each other, then the difference between their potential functions is sufficiently small in a certain sense. © 2015 AIP Publishing LLC.</dc:description><dc:publisher>American Institute of Physics Inc.</dc:publisher><dc:date>2015</dc:date><dc:type>Conference Object</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15312</dc:identifier><dc:identifier>https://doi.org/10.1063/1.4912599</dc:identifier><dc:identifier>978-073541287-3</dc:identifier><dc:identifier>0094-243X</dc:identifier><dc:language>en</dc:language><dc:relation>AIP Conference Proceedings</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/conferenceObject</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15312</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>