Liu, Kai and Chen, Anyue (2000) An improved result of exponential stability of stochastic semilinear evolution equations. International Journal of Differential Equations and Applications, 1 (1). pp. 99-112. ISSN 1311-2872 (doi:https://doi.org/10.12732/ijdea.vlil.211)

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Abstract

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.

Item Type:	Article
Additional Information:	[1] Ref. 00/10
Uncontrolled Keywords:	stochastic differential equations
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences
Related URLs:	Publisher Organisation
Last Modified:	14 Oct 2016 09:00
URI:	http://gala.gre.ac.uk/id/eprint/373

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