Stability of Stochastic Partial Differential Equations

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. © 2023 by the authors.

Authors
Ashyralyev A. , Okur Ü.
Journal
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
Number of issue
7
Language
English
Status
Published
Number
718
Volume
12
Year
2023
Organizations
  • 1 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 2 Department of Mathematics, Peoples’ Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Near East University Nicosia, TRNC, Mersin 10, Nicosia, 99138, Turkey
Keywords
Hilbert space; initial-boundary problems; stability; stochastic parabolic equations

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