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Discontinuity, Nonlinearity, and Complexity 11(4) (2022) 599--612 | DOI:10.5890/DNC.2022.12.003

K. Ravikumar, K. Banupriya, S. Varshini, K. Ramkumar

Department of Mathematics, PSG College of Arts and Science, Coimbatore-641014, India

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Abstract

The paper is devoted to the study of existence and exponential stability of mild solutions of random impulsive differential evolution equations. The results are obtained using Leray-Schauder alternative fixed point theorem. Furthermore Exponential stability of the mild solution is established with certain sufficient conditions. An application is provided to illustrate the theory.

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