# 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
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.

### Share and Cite

##### ISRP Style

Dimplekumar Chalishajar, K. Ravikumar, A. Anguraj, Impulsive-integral inequalities for attracting and quasi-invariant sets of neutral stochastic partial functional integrodifferential equations with impulsive effects, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 5, 284--292

##### AMA Style

Chalishajar Dimplekumar, Ravikumar K., Anguraj A., Impulsive-integral inequalities for attracting and quasi-invariant sets of neutral stochastic partial functional integrodifferential equations with impulsive effects. J. Nonlinear Sci. Appl. (2020); 13(5):284--292

##### Chicago/Turabian Style

Chalishajar, Dimplekumar, Ravikumar, K., Anguraj, A.. "Impulsive-integral inequalities for attracting and quasi-invariant sets of neutral stochastic partial functional integrodifferential equations with impulsive effects." Journal of Nonlinear Sciences and Applications, 13, no. 5 (2020): 284--292

### Keywords

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

•  35B35
•  35B40
•  39B82
•  60H15

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