Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays


Authors

A. Vinodkumar - Department of Mathematics and Computer Applications, PSG College of Technology, Coimbatore-641 004, Tamil Nadu, India.


Abstract

This article presents the results on existence, uniqueness and stability of mild solution for impulsive stochastic semilinear functional differential equations with non-Lipschitz condition and Lipschitz condition. The results are obtained by using the method of successive approximation and Bihari’s inequality.


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ISRP Style

A. Vinodkumar, Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 4, 236--246

AMA Style

Vinodkumar A., Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays. J. Nonlinear Sci. Appl. (2011); 4(4):236--246

Chicago/Turabian Style

Vinodkumar, A.. "Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays." Journal of Nonlinear Sciences and Applications, 4, no. 4 (2011): 236--246


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