<?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>2026-10-29T23:38:59Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12954" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12954</identifier><datestamp>2026-10-29T19:42:58Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec><setSpec>com_bayburt_10007</setSpec><setSpec>col_bayburt_10218</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>Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity</dc:title><dc:creator>Ayazoglu, Rabil</dc:creator><dc:creator>Alisoy, Gulizar</dc:creator><dc:creator>Akbulut, Sezgin</dc:creator><dc:creator>Aydin, Tuba Agirman</dc:creator><dc:subject>decay property</dc:subject><dc:subject>extinction</dc:subject><dc:subject>global existence</dc:subject><dc:subject>p(·)-Laplacian</dc:subject><dc:subject>parabolic</dc:subject><dc:subject>variable exponents</dc:subject><dc:description>In this paper, we consider an initial boundary value problem for a class of p(·)-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.</dc:description><dc:publisher>Hacettepe University</dc:publisher><dc:date>2024</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/12954</dc:identifier><dc:identifier>https://doi.org/10.15672/hujms.1106985</dc:identifier><dc:identifier>2651-477X</dc:identifier><dc:language>en</dc:language><dc:relation>Hacettepe Journal of Mathematics and Statistics</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/12954</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>