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Asymptotic stability criteria for delay-differential equations

Published online by Cambridge University Press:  14 November 2011

L.C. Becker
Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901–4408, U.S.A.
T.A. Burton
Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901–4408, U.S.A.


This paper is concerned with the problem of showing uniform stability and equiasymptotic stability of thezero solution of functional differential equations with either finite or infinite delay. The investigations are based on Liapunov's direct method and attention is focused on those equations whose right-hand sides are unbounded for bounded state variables.

Research Article
Copyright © Royal Society of Edinburgh 1988

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