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.

Keywords:

• Perturbed integrodifferential systems
• Variation of parameters
• Initial time difference
• Lyapunov-like functions
• AMS (MOS) Subject Classification: 34D10
• 34D99

Notes

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Additional information

Notes on contributors

S. G. Deo§

§Permanent Address: 12 Precy Building, Mala, PANAJI (GOA) 403001, India.