Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations

被引：3

作者：

Fu, Xianlong ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2009年

关键词：

DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; ASYMPTOTIC-BEHAVIOR; HILBERT-SPACES; MILD SOLUTIONS; BANACH-SPACE; DELAY; UNIQUENESS;

D O I：

10.1155/2009/785628

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results are applied to some neutral stochastic partial differential equations. These kinds of equations arise in systems related to couple oscillators in a noisy environment or in viscoelastic materials under random or stochastic influences. Copyright (c) 2009 Xianlong Fu.

引用

页数：27

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