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Article

Stability of Stochastic Partial Differential Equations

by
Allaberen Ashyralyev
1,2,3,* and
Ülker Okur
4,†
1
Department of Mathematics, Bahcesehir University, Istanbul 34353, Turkey
2
Department of Mathematics, Peoples’ Friendship University of Russia RUDN University, Moscow 117198, Russia
3
Institute of Mathematics and Mathematical Modeling, Almaty 050010, Kazakhstan
4
Department of Mathematics, Near East University Nicosia, TRNC Mersin 10, Nicosia 99138, Turkey
*
Author to whom correspondence should be addressed.
†
Current address: Württembergische Gemeinde-Versicherung, 70164 Stuttgart, Germany.
Axioms 2023, 12(7), 718; https://doi.org/10.3390/axioms12070718
Submission received: 1 June 2023 / Revised: 25 June 2023 / Accepted: 18 July 2023 / Published: 24 July 2023
(This article belongs to the Topic Numerical Methods for Partial Differential Equations)
Versions Notes

Abstract

In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a Hilbert space. For the solution of the initial-boundary value problems (IBVPs), we obtain the stability estimates for stochastic parabolic equations with dependent coefficients in specific applications.
Keywords: stochastic parabolic equations; initial-boundary problems; Hilbert space; stability stochastic parabolic equations; initial-boundary problems; Hilbert space; stability

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MDPI and ACS Style

Ashyralyev, A.; Okur, Ü. Stability of Stochastic Partial Differential Equations. Axioms 2023, 12, 718. https://doi.org/10.3390/axioms12070718

AMA Style

Ashyralyev A, Okur Ü. Stability of Stochastic Partial Differential Equations. Axioms. 2023; 12(7):718. https://doi.org/10.3390/axioms12070718

Chicago/Turabian Style

Ashyralyev, Allaberen, and Ülker Okur. 2023. "Stability of Stochastic Partial Differential Equations" Axioms 12, no. 7: 718. https://doi.org/10.3390/axioms12070718

APA Style

Ashyralyev, A., & Okur, Ü. (2023). Stability of Stochastic Partial Differential Equations. Axioms, 12(7), 718. https://doi.org/10.3390/axioms12070718

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