SENSITIVITY TO SMALL DELAYS OF MEAN SQUARE STABILITY FOR STOCHASTIC NEUTRAL EVOLUTION EQUATIONS

Wang, Wei, Liu, Kai and Wang, Xiulian (2020) SENSITIVITY TO SMALL DELAYS OF MEAN SQUARE STABILITY FOR STOCHASTIC NEUTRAL EVOLUTION EQUATIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19 (4). pp. 2403-2418.

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Official URL: http://dx.doi.org/10.3934/cpaa.2020105

Abstract

In this work, we are concerned about the mean square exponential stability property for a class of stochastic neutral functional differential equations with small delay parameters. Both distributed and point delays under the neutral term are considered. Sufficient conditions are given to capture the exponential stability in mean square of the stochastic system under consideration. As an illustration, we present some practical systems to show their exponential stability which is not sensitive to small delays in the mean square sense.

Item Type:	Article
Uncontrolled Keywords:	Stability sensitive to small delay, exponential stability, stochastic neutral functional differential equation
Depositing User:	Symplectic Admin
Date Deposited:	31 Jan 2020 14:52
Last Modified:	19 Jan 2023 00:05
DOI:	10.3934/cpaa.2020105
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3072819