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Stability of solution to semilinear stochastic evolution equations

 

作者: Gottlieb Leha,   Bohdan Maslowski,   Gunter Ritter,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1999）
卷期: Volume 17, issue 6  

页码: 1009-1051

 

ISSN:0736-2994

 

年代: 1999

 

DOI:10.1080/07362999908809647

 

出版商: Marcel Dekker, Inc.

 

关键词: Stochastic Evolution Equations;Stability in Probability;Exponential Stability;Stochastic Population Dynamics;Forward Inequality;60H15;60J60;60J70

 

数据来源: Taylor

 

摘要:

We study global and local stabilities of the stationary zero solution to certain infinite-dimensional stochastic differential equations. The stabilities are in terms of fractional powers of the linear part of the drift. The abstract results are applied to semilinear stochastic partial differential equations with non-Lipschitzian drift terms and, in particular, to some specific models of population dynamics. We also expose the stabilizing effect of noise on the otherwise unstable zero solution

 

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