Impulsive-integral inequalities for attracting and quasi-invariant sets of neutral stochastic partial functional integrodifferential equations with impulsive effects

Volume 13, Issue 5, pp 284--292 http://dx.doi.org/10.22436/jnsa.013.05.05

Publication Date: March 13, 2020 Submission Date: October 16, 2019 Revision Date: January 23, 2020 Accteptance Date: January 28, 2020

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Authors

Dimplekumar Chalishajar - Department of Applied Mathematics, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA. K. Ravikumar - Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India. A. Anguraj - Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India.

Abstract

In this article, we investigate a class of neutral stochastic partial functional 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. In the end, one example is given to illustrate the feasibility and effectiveness of results obtained.

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Keywords

• Impulsive integral inequality
• attracting set
• quasi-invariant set
• stochastic integrodifferential equations
• resolvent operator

MSC

•  35B35
•  35B40
•  39B82
•  60H15

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