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Global stability of nonautonomous logistic equations with a piecewise constant delay

✍ Scribed by Huaixing Li; Yoshiaki Muroya; Yukihiko Nakata; Rong Yuan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
367 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

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 of sufficient conditions for the global asymptotic stability of solution for the above nonautonomous logistic equation with a piecewise constant delay.

πŸ“œ SIMILAR VOLUMES

Positivity and stability of delay equati
Positivity and stability of delay equations with nonautonomous past
✍ Gregor Nickel; Abdelaziz Rhandi πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 179 KB

## 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)