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Existence and Stability Results for Impulsive Stochastic Functional Integrodifferential Equation with Poisson Jumps
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2019
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Mild SolutionEngineeringStability ResultsSuccessive ApproximationStochastic CalculusPoisson JumpsStochastic Dynamical SystemMild SolutionsFunctional AnalysisStochastic Differential EquationImpulsive SystemJump Diffusions
In this article we present the existence, uniqueness and stability of mild solutions for impulsive stochastic functional integro differential equations with non-Lipschitz condition. The mild solution is obtained by using a resolvent operator in a different sense and the results are proved by using the method of successive approximation and Bihari’s inequality.