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Articles

Vol. 1 No. 4 (2025): Volume 1 Issue 4 2025

To Nonlinear Impulsive Differential Equations and Vector Lyapunov Functions with Uniform Eventual Stability

  • P. AKHILA
Submitted
July 5, 2026
Published
2025-10-14

Abstract

We consider a family of piecewise continuous functions that generalise the vector Lyapunov functions and study
the uniform eventual stability of nonlinear impulsive differential equations with fixed moments of impulse. Along
with the findings of the comparison, we also provide the necessary requirements for the final stability to be
uniform. The findings broaden the scope of the existing research on uniform eventual stability analysis beyond
the narrower scalar example.