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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 994–1006
DOI: https://doi.org/10.31857/S0044466922060023 (Mi zvmmf11411) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical physics

On the stability of parabolic differential and difference equations with a time-nonlocal condition

A. Ashyralyevabc, C. Ashyralyyevde

a Department of Mathematics, Bahçesehir University, 34353, Istanbul, Turkey
b Peoples’ Friendship University of Russia (RUDN University), 117198, Moscow, Russia
c Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan
d Department of Engineering Mathematics, Gumushane University, 29100, Gumushane, Turkey
e Mirzo Ulugbek National University of Uzbekistan, 100174, Tashkent, Uzbekistan
Citations (4)
DOI: https://doi.org/10.31857/S0044466922060023
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.
Key words: parabolic equation, local and nonlocal problems, difference schemes, stability, Hilbert space.
Received: 24.12.2021
Revised: 24.12.2021
Accepted: 11.02.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 962–973
DOI: https://doi.org/10.1134/S0965542522060021
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Ashyralyev, C. Ashyralyyev, “On the stability of parabolic differential and difference equations with a time-nonlocal condition”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 994–1006; Comput. Math. Math. Phys., 62:6 (2022), 962–973
Citation in format AMSBIB
\Bibitem{AshAsh22}
\by A.~Ashyralyev, C.~Ashyralyyev
\paper On the stability of parabolic differential and difference equations with a time-nonlocal condition
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 994--1006
\mathnet{http://mi.mathnet.ru/zvmmf11411}
\crossref{https://doi.org/10.31857/S0044466922060023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452827}
\elib{https://elibrary.ru/item.asp?id=48506076}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 962--973
\crossref{https://doi.org/10.1134/S0965542522060021}
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  • https://www.mathnet.ru/eng/zvmmf/v62/i6/p994
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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