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The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

Publication Type : Journal Article

Publisher : Nonlinear Analysis: Theory, Methods Applications

Source : Nonlinear Analysis: Theory, Methods & Applications, Volume 74, Number 2, p.331 - 342 (2011)

Url : http://www.sciencedirect.com/science/article/pii/S0362546X10004876

Keywords : Leray–Schauder alternative fixed point theorem

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2011

Abstract : In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the Leray–Schauder alternative fixed point theorem.

Cite this Research Publication : A. Anguraj, Wu, S., and Dr. Vinodkumar A., “The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness”, Nonlinear Analysis: Theory, Methods & Applications, vol. 74, pp. 331 - 342, 2011.

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