Discontinuity, Nonlinearity, and Complexity
Existence and Exponential Stability for Random Impulsive Differential Evolution Equations
Discontinuity, Nonlinearity, and Complexity 11(4) (2022) 599612  DOI:10.5890/DNC.2022.12.003
K. Ravikumar, K. Banupriya, S. Varshini, K. Ramkumar
Department of Mathematics, PSG College of Arts and Science, Coimbatore641014, 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 LeraySchauder 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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