Publication Type: Journal Article
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
, Integrodifferential equations
, Resolvent operators
, Stochastic systems
, Successive approximations
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.
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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.