Journal of Applied Nonlinear Dynamics
ImpulsiveIntegral Inequalities for Attracting and QuasiInvariant Sets of Neutral Stochastic Integrodifferential Equations with Impulsive Effects
Journal of Applied Nonlinear Dynamics 9(3) (2020) 513523  DOI:10.5890/JAND.2020.09.012
K. Ramkumar, A. Anguraj
Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641014, India
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Abstract
In this article, we investigate a class of neutral stochastic integrodifferential equations with impulsive effects. The results are obtained by using the new integral inequalities, the attracting and quasiinvariant sets combined with theories of resolvent operators. Moreover, exponential stability of the mild solution is established with sufficient conditions. An example is provided to illustrate the results of this work.
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