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Publication Type : Journal Article
Publisher : International Journal of Dynamical Systems and Differential Equations
Source : International Journal of Dynamical Systems and Differential Equations, Inderscience Enterprises Ltd., Volume 7, Number 1, p.36-50 (2017)
Keywords : Approximation theory, Averaging principle, Bihari's inequalities, Convergence of numerical methods, Differential equations, Existence, Integrodifferential equations, Resolvent operators, Stochastic systems, Successive approximations, Uniqueness
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2017
Abstract : In this paper, we study the results on averaging principle and stability of mild solutions for stochastic functional integro-differential equation with non-Lipschitz condition. We establish the result by the method of successive approximation and Bihari's inequality under the theory of resolvent operators. Finally, an example is provided for demonstration. Copyright © 2017 Inderscience Enterprises Ltd.
Cite this Research Publication : Dr. Vinodkumar A., “Some results in stochastic functional integro-differential equations with infinite delays”, International Journal of Dynamical Systems and Differential Equations, vol. 7, pp. 36-50, 2017.