期刊名称：International Journal of Differential Equations and Applications
印刷版ISSN：1311-2872
出版年度：2000
卷号：1
期号：1
DOI：10.12732/ijdea.v1i1.211
语种：English
出版社：International Journal of Differential Equations and Applications
摘要：Sufficient conditions for the exponential stability of a class ofnonlinear, non-autonomous stochastic differential equations in infinitedimensions are studied. The analysis consists of introducing a suitableapproximating solution systems and using a limiting argument to pass onstability of strong solutions to mild ones. As a consequence, the classicalcriteriaof stability in A. Ichikawa [8] are improved and extended to cover a class ofnon-autonomous stochastic evolution equations.Two examples are investigated to illustrate our theory.
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