Authors: Arumugam Vinodkumar
Addresses: Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham University, Coimbatore 641 112, India
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.
Keywords: averaging principle; Bihari's inequality; existence; resolvent operator; stability; successive approximation; uniqueness.
International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.1, pp.36 - 50
Available online: 11 Apr 2017 *Full-text access for editors Access for subscribers Free access Comment on this article