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

页码：178 / 188

页数：11

共 50 条

[1] ON EXPONENTIAL STABILITY OF NON-AUTONOMOUS STOCHASTIC SEMILINEAR EVOLUTION EQUATIONS
夏学文
刘凯
[J]. Acta Mathematica Scientia, 2002, (02) : 178 - 188
[2] On exponential stability of non-autonomous stochastic differential equations with Markovian switching
Tran, Ky Q.
Le, Bich T. N.
[J]. STATISTICS & PROBABILITY LETTERS, 2022, 189
[3] Non Autonomous Semilinear Stochastic Evolution Equations
Fan, Xi-Liang
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (09) : 1806 - 1818
[4] Exponential stability of non-autonomous stochastic partial differential equations with finite memory
Wan, Li
Duan, Jinqiao
[J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (05) : 490 - 498
[5] STABILITY ANALYSIS FOR NON-AUTONOMOUS SEMILINEAR EVOLUTION EQUATIONS IN HILBERT SPACES: A PRACTICAL APPROACH
Damak, Hanen
Hammami, Mohamed Ali
Maaloul, Khouloud
[J]. OPERATORS AND MATRICES, 2022, 16 (04): : 1045 - 1062
[6] Non-autonomous semilinear evolution equations with almost sectorial operators
Alexandre N. Carvalho
Tomasz Dlotko
Marcelo J. D. Nascimento
[J]. Journal of Evolution Equations, 2008, 8 : 631 - 659
[7] Non-autonomous semilinear evolution equations with almost sectorial operators
Carvalho, Alexandre N.
Dlotko, Tomasz
Nascimento, Marcelo J. D.
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2008, 8 (04) : 631 - 659
[8] Non-autonomous stochastic evolution equations and applications to stochastic partial differential equations
Mark C. Veraar
[J]. Journal of Evolution Equations, 2010, 10 : 85 - 127
[9] Non-autonomous stochastic evolution equations and applications to stochastic partial differential equations
Veraar, Mark C.
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (01) : 85 - 127
[10] Existence and exponential stability in pth moment of non-autonomous stochastic integro-differential equations
Thiam, Papa Ali
Diop, Mamadou Abdoul
Kasinathan, Ramkumar
Kasinathan, Ravikumar
[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2024,

← 1 2 3 4 5 →