Variation of parameters formulae with initial time difference for linear integrodifferential equations

Abstract

This article investigates the relationship between an unperturbed integrodifferential system and a perturbed integrodifferential system that have different initial positions and an initial time difference (ITD). Variation of parameter techniques are employed to obtain integral formulae and to define Lyapunov-like functions. © 2006, Taylor & Francis Group, LLC. © 2019 Elsevier B.V., All rights reserved.