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On neutral functional-differential equations with variable time delays

Published online by Cambridge University Press:  01 September 1998

ALAN FELDSTEIN  and
YUNKANG LIU
ALAN FELDSTEIN
Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona, USA
YUNKANG LIU
Affiliation:
Gonville and Caius College, Cambridge University, Cambridge, UK
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Abstract

This paper deals with an initial value problem of a neutral functional-differential equation with variable time delay. The effect of the neutral term on the existence and uniqueness of solutions is investigated. A comparison theorem is given and is applied to a functional Riccati equation. The asymptotic behaviour of solutions of a linear perturbation of the generalized pantograph equation is studied.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 124 , Issue 2 , September 1998 , pp. 371 - 384
Copyright
Cambridge Philosophical Society 1998

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