2001•IMA Journal of Mathematical Control and InformationRequires access

Existence of almost periodic solutions for strong stable impulsive differential equations

Gani Stamov

Abstract

Conditions for strong stability and the existence of almost periodic solutions of systems of impulsive differential equations with impulsive effect at fixed moments are obtained. The investigations are carried out by means of piecewise continuous functions which are analogues of Lyapunov functions.

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Key concepts: Piecewise, Mathematics, Lyapunov function, Differential equation, Mathematical analysis, Stability (learning theory), Applied mathematics, Nonlinear system