<?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>2026-10-19T00:27:21Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16979" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16979</identifier><datestamp>2026-10-18T20:41:11Z</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>Completeness Theorems for Impulsive Dirac Operator with Discontinuity</dc:title><dc:creator>Wang, Kai</dc:creator><dc:creator>Sat, Murat</dc:creator><dc:creator>Xu, Xin-Jian</dc:creator><dc:creator>Zhang, Ran</dc:creator><dc:subject>completeness theorems</dc:subject><dc:subject>impulsive Dirac operator</dc:subject><dc:subject>discontinuous condition</dc:subject><dc:subject>BOUNDARY-CONDITIONS</dc:subject><dc:subject>Mathematics, Applied</dc:subject><dc:subject>Mathematics</dc:subject><dc:description>In this work, the discontinuous Dirac operator with weight is studied. We prove the completeness theorems of the system of eigenfunctions for the discontinuous Dirac operator.</dc:description><dc:publisher>MDPI</dc:publisher><dc:date>2025</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/16979</dc:identifier><dc:identifier>https://doi.org/10.3390/axioms14100752</dc:identifier><dc:language>en</dc:language><dc:relation>AXIOMS</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16979</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>