ON STOCHASTIC DELAY EVOLUTION EQUATIONS WITH NON-LIPSCHITZ NONLINEARITIES IN HILBERT SPACES

被引：0

作者：

Govindan, T. E. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Dept Matemat, Escuela Super Fis & Matemat, Mexico City 07738, DF, Mexico

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 1-2期

关键词：

MILD SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study existence and exponential stability problems of mild solutions associated with stochastic delay evolution equations in Hilbert spaces. These problems are resolved using the properties of a stochastic convolution integral and a comparison principle by exploiting Holder-type conditions on the drift and diffusion terms. The results obtained here generalize the corresponding main results from [1, 3, 4, 9, 13, 16].

引用

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页码：157 / 176

页数：20

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