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
点击下载:
PDF (389KB)
返 回