Existence results for impulsive neutral stochastic functional integrodifferential systems with infinite delay

C. Parthasarathy; M. Mallika Arjunan

doi:10.26637/mjm0101/005

Abstract

This paper is devoted to build the existence of mild solutions of impulsive neutral stochastic functional integrodifferential equations (INSFIDEs) with infinite delay at abstract phase space in Hilbert spaces. Under the uniform Lipschitz condition, we obtain the solution for INSFIDEs. Sufficient conditions for the existence results are derived with the help of Krasnoselski-Schaefer type fixed point theorem. An example is provided to illustrate the theory.

Keywords:

Impulsive neutral stochastic integrodifferential equations, infinite delay, Krasnoselski-Schaefer type fixed point theorem, semigroup theory

Mathematics Subject Classification:

34A37, 37H10, 60H20, 34K50, 34K05

Authors Imprint References Funding Related Articles Downloads

C. Parthasarathy Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India.
M. Mallika Arjunan Department of Mathematics, C. B. M. College, Coimbatore-641 042, Tamil Nadu, India. https://orcid.org/0000-0002-3358-0780

Pages: 26-41
Date Published: 01-09-2012
Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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