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dc.contributor.authorShaimardan, Serikbol
dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorTokmagambetov, Niyaz
dc.date.accessioned2024-01-16T14:36:34Z
dc.date.available2024-01-16T14:36:34Z
dc.date.issued2023
dc.description.abstractIn this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we considern on-homogenous heat and wave equations for Rubin’s difference operator. Wellposedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin’s difference operator have unique solutions. We even show that these solutions can be represented by explicit formulas.en_US
dc.descriptionSource at <a href=http://www.pmf.ni.ac.rs/filomat>http://www.pmf.ni.ac.rs/filomat</a>.en_US
dc.identifier.citationShaimardan, Persson, Tokmagambetov. Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces. Filomat. 2023;37(17):5799-5812en_US
dc.identifier.cristinIDFRIDAID 2158360
dc.identifier.doi10.2298/FIL2317799S
dc.identifier.issn0354-5180
dc.identifier.urihttps://hdl.handle.net/10037/32521
dc.language.isoengen_US
dc.publisherFaculty of Sciences and Mathematics, University of Nisen_US
dc.relation.journalFilomat
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.titleWell-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spacesen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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