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On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

MakaleYalnız künyeScopus SJRQ2

Özet

Abstract: In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.

Anahtar Kelimeler

difference schemesHilbert spacelocal and nonlocal problemsparabolic equationstability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14553Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1134/s0965542522060021Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
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Atıflar
Scopus
6
WoS
6
OpenAlex
8
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, A.
dc.contributor.authorAshyralyyev, C.
dc.date.accessioned2026-10-22T10:22:50.809208788Z
dc.date.available2026-10-22T10:22:50.809208788Z
dc.date.issued2022
dc.description.abstractAbstract: In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.
dc.identifier.doi10.1134/s0965542522060021
dc.identifier.eissn1555-6662
dc.identifier.endpage973
dc.identifier.issn0965-5425
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85134242642
dc.identifier.startpage962
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14553
dc.identifier.volume62
dc.identifier.wosWOS:000824698600008
dc.language.isoen
dc.publisherPleiades journals
dc.relation.ispartofComputational Mathematics and Mathematical Physics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectdifference schemes
dc.subjectHilbert space
dc.subjectlocal and nonlocal problems
dc.subjectparabolic equation
dc.subjectstability
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Mathematical
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherBOUNDARY-VALUE PROBLEM
dc.subject.otherIDENTIFICATION PROBLEM
dc.subject.otherWELL-POSEDNESS
dc.subject.otherSCHEMES
dc.subject.other2ND-ORDER
dc.titleOn the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition
dc.typeArticle
rdl.citation.openalex8
rdl.citation.scopus6
rdl.citation.wos6
rdl.oa.statusclosed
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)