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Exponential stability in mean–square of parabolic quasilinear stochastic delay evolution equations

 

作者: T.E. Govindan,  

 

期刊: Stochastic Analysis and Applications  (Taylor Available online 1999)
卷期: Volume 17, issue 3  

页码: 443-461

 

ISSN:0736-2994

 

年代: 1999

 

DOI:10.1080/07362999908809612

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We initiate a study on the exponential stability of a parabolic quasi linear stochastic evolution equation with a variable delay which nay be regarded as a perturbed quasi linear differential systen. We first obtain the existence and uniqueness of a strong solution. Next, we establish exponential stability of a strong solution in the following sense: if the unperturbed systen is exponentially stable and the perturbation is small enough, then the perturbed equation renains exponentially stable

 

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