Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations
نویسندگان
چکیده
منابع مشابه
Asymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations
In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.
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In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a mild solution. Also the exponential p-stability of a mild solution and its sample paths are obtained.
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*Correspondence: [email protected]; [email protected] 1School of Mathematics & Computer Science, Wuhan Polytechnic University, Wuhan, Hubei, China 2School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, Hubei, China Abstract In this paper, we study the exponential stability in the pth moment of mild solutions to impulsive stochastic neutral partial differential e...
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In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2020
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2020/9051396