On the stability of impulsive difference equations with variable coefficients

Gul Rahmat; Aleena; Fasiha  Shaheen

doi:10.5269/bspm.68854

Gul Rahmat Islamia College Peshwar
Aleena
Fasiha Shaheen

Abstract

In this paper, we investigate the stability characteristics of non-autonomous impulsive difference systems, focusing on Ulam-Hyers, generalized Ulam-Hyers, and uniform exponential stabilities. We provide a comprehensive analysis of these stability concepts, establishing necessary conditions and results that extend existing theoretical frameworks. Additionally, we illustrate our findings through a series of examples that demonstrate the applicability and relevance of the proposed stability criteria. Our results contribute to the understanding of stability in impulsive systems, with potential implications for various applications in mathematical modeling and control theory.

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