Some stability and boundedness criteria for a class of volterra integro-differential systems

Vanualailai, Jito (2002) Some stability and boundedness criteria for a class of volterra integro-differential systems. Electronic Journal of Qualitative Theory of Differential Equations, 12 . pp. 1-20. ISSN 1417-3875

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Abstract

Using Lyapunov and Lyapunov-like functionals, we study the stability and boundedness of the solutions of a system of Volterra integrodifferential equations. Our results, also extending some of the more well-known criteria, give new sufficient conditions for stability of the zero solution of the nonperturbed system, and prove that the same conditions for the perturbed system yield boundedness when the perturbation is $L^2$.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Ms Neha Harakh
Date Deposited:	21 Nov 2002 02:04
Last Modified:	01 May 2012 06:59
URI:	https://repository.usp.ac.fj/id/eprint/2713

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