Existence results for impulsive Stochastic neutral IDE
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Date
2019-01
Journal Title
Journal ISSN
Volume Title
Publisher
Research Gate
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. Since arbitrary fluctuations are regular in the real world, scientific (mathematical) models for complex systems are frequently subject to instabilities, for example, indeterminate parameters, fluctuating powers, or random boundary conditions.
Keywords
Impulsive partial stochastic integrodifferential equations, state-dependent delays, C0-semigroup, Resolvent operator, fixed point
Citation
M. Diop, A. Gbaguidi Amoussou, C. Ogouyandjou, M. Mohamed. (2019). Existence results for impulsive stochastic neutral integroddifferential equations with state-dependent delay. Transactions of A. Razmadze Mathematical Institute Vol. 173 (2019), 17–31