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Asymptotic behaviour of functional-differential equations with proportional time delays

Published online by Cambridge University Press:  26 September 2008

Yunkang Liu
Yunkang Liu
Affiliation:
Fitzwilliam College, Cambridge
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Abstract

This paper discusses the initial value problem

where A, Bi and Ci are d × d complex matrices, pi, qi ∈ (0, 1), i = 1, 2, …, and y0 is a column vector in ℂd. By using ideas from the theory of ordinary differential equations and the theory of functional equations, we give a comprehensive analysis of the asymptotic behaviour of analytic solutions of this initial value problem.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 1 , February 1996 , pp. 11 - 30
Copyright
Copyright © Cambridge University Press 1996

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