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Positivity and stability of delay equations with nonautonomous past

✍ Scribed by Gregor Nickel; Abdelaziz Rhandi

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
179 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In our paper we discuss the asymptotic behaviour of a linear delay equation with nonautonomous past. Using positivity and compactness assumptions we obtain a quite complete characterization of the asymptotic behaviour. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Consider the following nonautonomous differential equation with a piecewise constant delay: In this paper, using a recent result of a full affirmative answer to the Gopalsamy and Liu's conjecture for the autonomous case of the above equation with a(t) ≑ a β‰₯ 0 and b(t) ≑ b > 0, we derive three types