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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


Albert C.J. Luo (editor)

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

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Impulsive-Integral Inequalities for Attracting and Quasi-Invariant Sets of Neutral Stochastic Integrodifferential Equations with Impulsive Effects

Journal of Applied Nonlinear Dynamics 9(3) (2020) 513--523 | 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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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 quasi-invariant 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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