On exponential stability of non-autonomous stochastic semilinear evolution equations

被引：0
|
作者：
Xia, XW
Liu, K
机构：
[1] Hunan Inst Engn, Dept Math & Phys, Xiangtan 411104, Peoples R China
[2] Univ Strathclyde, Dept Stat & Modelling Sci, Glasgow G1 1XH, Lanark, Scotland
来源：
ACTA MATHEMATICA SCIENTIA | 2002年 / 22卷 / 02期
关键词：
non-autonomous stochastic evolution equations; mean square exponential stability; almost sure exponential stability;
D O I：
10.1016/S0252-9602(17)30470-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sufficient conditions for the exponential stability of a class of nonlinear, non-autonomous stochastic differential equations in infinite dimensions are studied. The analysis consists of introducing a suitable approximating solution systems and usig a limiting argument to pass on stability of strong solutions to mild ones. Consequently, under these conditions the random attractors of given stochastic systems are reduced to zero with exponential decay. Lastly, two examples are investigated to illustrate the theory.
引用
收藏
页码：178 / 188
页数：11
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