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
收藏
页码：157 / 176
页数：20
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