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2013 Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses
Nan Ding
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/729159

Abstract

We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional power of operator, and semigroup theory, we obtain some completely new sufficient conditions ensuring the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. Finally, an example is provided to illustrate the obtained theory.

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Nan Ding. "Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/729159

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Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.60115
MathSciNet: MR3064889
Digital Object Identifier: 10.1155/2013/729159

Rights: Copyright © 2013 Hindawi

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