Stability of Stochastic Partial Differential Equations-Reference-Cited by-同舟云学术

Stability of Stochastic Partial Differential Equations

Published:2023-07-24 Issue:7 Volume:12 Page:718
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ashyralyev Allaberen¹²³^ORCID,Okur Ülker⁴

Affiliation:

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

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/718/pdf

Reference26 articles.

1. Numerical solution of stochastic hyperbolic equations;Aggez;Abstr. Appl. Anal.,2012

2. On modified Crank-Nicholson difference schemes for stochastic parabolic equation;Ashyralyev;Numer. Funct. Anal. Optim.,2008

3. An approximation of stochastic hyperbolic equations: Case with Wiener process;Ashyralyev;Math. Methods Appl. Sci.,2013

4. An approximation of semigroups method for stochastic parabolic equations;Ashyralyev;Abstr. Appl. Anal.,2012

5. A Hille-Yosida theorem for weakly continuous semigroups;Cerrai;Semigroup Forum,1994

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