Sayooj Aby, Jose (2021) EXISTENCE, UNIQUENESS AND STABILITY RESULTS OF SEMILINEAR FUNCTIONAL SPECIAL RANDOM IMPULSIVE DIFFERENTIAL EQUATIONS. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 28. pp. 269-293.

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Abstract

We deal with semilinear functional special random impulsive differential equations in this paper. Contraction mapping principle is used to study the existence and
uniqueness of the mild solution of the system. Again we have established ulam stabilities,
exponential stability and stability of the system, where the sufficient conditions for stability is established using continuous dependence on initial conditions. Also an example is
included to verify the concepts and basic results in this paper.

Item Type: Article
Uncontrolled Keywords: Existence, Uniqueness, Fixed point theorem, Random impulses, Stability
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 06 Oct 2022 09:54
Last Modified: 06 Oct 2022 09:54
URI: http://ir.psgcas.ac.in/id/eprint/1588

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