The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness |
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| Authors: | A. Anguraj Shujin Wu |
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| Affiliation: | a Department of Mathematics, PSG College of Arts and Science, Coimbatore-641 014, Tamil Nadu, Indiab Department of Statistics and Actuarial Science, School of Finance and Statistics, East China Normal University, Shanghai 200241, China |
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| Abstract: | In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the Leray-Schauder alternative fixed point theorem. |
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| Keywords: | 35R12 60H99 35B40 34G20 |
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