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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Existence and Stability Results for Impulsive Stochastic Functional Integrodifferential Equation with Poisson Jumps

Journal of Applied Nonlinear Dynamics 8(3) (2019) 407--417 | DOI:10.5890/JAND.2019.09.005

A. Anguraj, K. Ravikumar

Department of Mathematics, PSG College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India

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Abstract

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.

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