Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses

Author:

Varshini S.1,Banupriya K.1,Ramkumar K.1,Ravikumar K.1

Affiliation:

1. Department of Mathematics, PSG College of Arts & Science, Coimbatore, India

Abstract

This manuscript is devoted to the study of existence, uniqueness and stability results of neutral stochastic differential equations with random impulses. The existence results are obtained by considering sufficient conditions and applying fixed point theory to the aforementioned system. The stability results are proved via continuous dependence on initial value. Finally an example is provided to show the effectiveness of the obtained result.

Publisher

National Library of Serbia

Subject

General Mathematics

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