<?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>2026-10-29T22:55:32Z</responseDate><request verb="GetRecord" identifier="oai:munzur-rdlopen.rawdatalibrary.net:munzur/2822" metadataPrefix="oai_dc">https://munzur-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:munzur-rdlopen.rawdatalibrary.net:munzur/2822</identifier><datestamp>2026-10-28T15:27:23Z</datestamp><setSpec>openaire</setSpec><setSpec>com_munzur_1</setSpec><setSpec>col_munzur_2</setSpec><setSpec>com_munzur_8</setSpec><setSpec>col_munzur_154</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>On the investigation of a discontinuous Sturm-Liouville operator of scattering theory</dc:title><dc:creator>Akcay, Ozge</dc:creator><dc:subject>discontinuity conditions</dc:subject><dc:subject>discontinuous coefficient</dc:subject><dc:subject>Jost solution</dc:subject><dc:subject>scattering data</dc:subject><dc:subject>Sturm-Liouville equation</dc:subject><dc:description>This paper deals with the investigation of the direct scattering problem for the Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The integral representation of the Jost solution is obtained and the properties of its kernel function are given. A total collection of the scattering data is constructed and the behavior of the scattering function at infinity is examined.</dc:description><dc:publisher>Udruga Matematicara Osijek</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/munzur/2822</dc:identifier><dc:identifier>1331-0623</dc:identifier><dc:language>en</dc:language><dc:relation>Mathematical Communications</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/2822</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>