Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays
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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.
Share and Cite
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
Keywords
- Existence
- Uniqueness
- Stability
- Successive approximation
- Bihari’s inequality.
MSC
References
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