Necessary and sufficient condition for the global attractivity of the trivial solution of a delay equation with continuous and piecewise constant arguments
β Scribed by Youbin Wang; Jurang Yan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 258 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
Communicated by D. G. M. Anderson
Abstract--ln this paper, a necessary and sufficient condition for the global attractivity of the trivial solution of a delay equation with continuous and piecewise constant arguments is obtained.
π SIMILAR VOLUMES
For a special class of the external force g t and nonnegative potential a t , we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Ε½ .
This paper presents the necessary and sufficient condition for the global stability of the following Lotka-Volterra cooperative or competition system with time delays: It is showed that the positive equilibrium of the system is globally asymptotically stable for all delays Ο ij β₯ 0 i j = 1 2 if and