STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

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Gowrisankar, M. and Mohankumar, P. and Vinodkumar, A. (2014) STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS. ACTA MATHEMATICA SCIENTIA, 34.0 (4). pp. 1055-1071. ISSN 0252-9602

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Abstract

In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results.

Item Type: Article
Uncontrolled Keywords: semilinear differential equations, random impulses, stability, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, exponential stability, contraction principle
Subjects: Mathematics > Mathematics
Divisions: Engineering and Technology > Aarupadai Veedu Institute of Technology, Chennai, India
Medicine > Aarupadai Veedu Medical College and Hospital, Puducherry, India
Depositing User: Unnamed user with email techsupport@mosys.org
Last Modified: 06 Feb 2026 07:00
URI: https://ir.vmrfdu.edu.in/id/eprint/6600

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