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On the exponential stability in mean square of neutral stochastic functional differential equations

โœ Scribed by Kai Liu; Xuewen Xia

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
116 KB
Volume
37
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

In [1,2], some e orts have been devoted to the investigation of exponential stability in mean square of neutral stochastic functional di erential equations. However, the results derived there are either di cult to demonstrate in a straightforward way for practical situations or somewhat too restricted to be applied to general neutral stochastic functional di erential equations, for instance, nonautonomous cases. In this paper, we shall establish some results which are more e ective and relatively easy to verify to obtain the required stability.

๐Ÿ“œ SIMILAR VOLUMES

Mean square exponential stability of imp
Mean square exponential stability of impulsive stochastic difference equations
โœ Zhiguo Yang; Daoyi Xu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB

This article proposes a method to deal with the mean square exponential stability of impulsive stochastic difference equations. By establishing a difference inequality, we obtain some sufficient conditions ensuring the exponential stability, in mean square, of systems under consideration. The result