Existence Results for Impulsive Stochastic Neutral Integrodifferential Equations with State-dependent delay

Abstract
In this article, we investigate the existence of mild solutions for a class of impulsive neutral stochastic integro-differential equations with state-dependent delay. The results are obtained by using the Krasnoselskii-Schaefer type fixed point theorem combined with theories of resolvent operators. In the end as an application, an example has been presented to illustrate the results obtained.
Description
The investigation of stochastic differential equations has been picking up much importance and attention of researchers due to its wide applicability in science and engineering.
Keywords
Impulsive partial stochastic integrodifferential equations, State-dependent delays, C0- semigroup, Resolvent operator, Fixed point
Citation
Diop, M., Amoussou, A.G., Ogouyandjou, C., Mohammed, M. (2019) Existence Results for Impulsive Stochastic Neutral Integrodifferential Equations with State-dependent delay. Transactions of A. Razmadze Mathematical Institute Vol. 173, 7–31
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