Publication Type:

Journal Article

Source:

Kyungpook Mathematical Journal, Volume 56, Number 2, p.431 - 450 (2016)

URL:

http://search.ebscohost.com/login.aspx?direct=true&db=asx&AN=119233291&site=eds-live

Keywords:

contraction Principle, Delay integro-differential equations, DEPENDENCE (Statistics), EXISTENCE theorems, Fixed point theory, INTEGRO-differential equations, Leray-Schauder alternative fixed point theorem, random impulses, STABILITY theory, UNIQUENESS (Mathematics)

Abstract:

In this paper, the existence, uniqueness, stability via continuous dependence and Ulam stabilities of nonlinear integro-differential equations with random impulses are studied under sufficient condition. The results are obtained by using Leray-Schauder alternative fixed point theorem and Banach contraction principle.

Cite this Research Publication

Dr. Vinodkumar A., GOWRISANKAR, M. U. T. H. U. S. A. M. Y., and MOHANKUMAR, P. R. A. T. H. I. B. A. N., “Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses.”, Kyungpook Mathematical Journal, vol. 56, pp. 431 - 450, 2016.

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