| ON EXPONENTIAL STABILITY OF NON-AUTONOMOUS STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS |
| |
| 作者姓名： | 夏学文 刘凯 |
| |
| 作者单位： | Xia Xuewen Department of Mathematics and Physics，Hunan Institute of Engineering，Xiang Tan 411104，ChinaLiu KaiDepartment of Statistics and Modelling Science，University of Strathclyde，Glasgow G11XH，Scotland，UK |
| |
| 摘 要： | 11MroductlonThe purpose ofthls paper Is to Investigate eWone尬lal stability of*theity mild solutions forcenain Hilbert space－Mued stochastlc evoMlon eqll砒ions,Roughy spe出0ng;we cons讪r山efollowing equation:I 伏I＝*x,＋风Il加L十从L,剧dWn,c〔瓜＋咖。(””””“”(11)D 人n 二x．Where A Is the Infinlteslmalgener砒or ofa certain几semigroup S(t),t＞0;on H and F(t;、)and B(t;·)are In general nonlinear mappings from H to H and H to L(x,H),the family ofall bounded linear operators from …
|
ON EXPONENTIAL STABILITY OF NON-AUTONOMOUS STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS |
| |
| Xia Xuewen.ON EXPONENTIAL STABILITY OF NON-AUTONOMOUS STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS[J].Acta Mathematica Scientia,2002,22(2). |
| |
| Authors: | Xia Xuewen |
| |
| Institution: | Xia Xuewen Department of Mathematics and Physics,Hunan Institute of Engineering,Xiang Tan 411104,ChinaLiu KaiDepartment of Statistics and Modelling Science,University of Strathclyde,Glasgow G11XH,Scotland,UK |
| |
| Abstract: | 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. |
| |
| Keywords: | Non-autonomous stochastic evolution equations mean square exponential stability almost sure exponential stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
