Global stability for a class of delay differential equations
✍ Scribed by U Foryś
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 232 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
The aim of this paper is to study the behaviour of solutions to a class of delay differential equations where the right-hand side depends only on the terms with delay. We study nonnegativity of solutions and global stability of the model.
📜 SIMILAR VOLUMES
Consider the following separable nonlinear delay dlfferentml equation m dy(t) \_\_ E a,(t)g,(y(%(t))), t > to, dt y(t) = ¢(t), t <\_ to, where we assume that, there is a strictly monotone increasing function f(x) on ( -o c , +oe) such that g,(x) In this paper, to the above separable nonlinear dela
This paper is concerned with a class of systems of delay differential equations which are defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish several criteria of the global stability of positive equilibrium. Moreover, we give two examples to illus
## Abstract In this paper, we present an analysis for the class of delay differential equations with one discrete delay and the right‐hand side depending only on the past. We extend the results from paper by U. Foryś (__Appl. Math. Lett.__ 2004; **17**(5):581–584), where the right‐hand side is a un