A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

  • Li H
  • Muroya Y
  • Yuan R
  • 4

    Readers

    Mendeley users who have this article in their library.
  • 10

    Citations

    Citations of this article.

Abstract

For a class of differential equations with piecewise constant delay, we establish sufficient conditions for the unique positive equilibrium to be globally asymptotically stable, which improves the results obtained by the contractivity method and extend the recent result on "Gopalsamy and Liu's conjecture" to a nonautonomous case. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Global asymptotic stability
  • Piecewise constant delay

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Huaixing Li

  • Y. Muroya

  • Rong Yuan

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free