In this paper, we investigate the asymptotic behavior of solutions to a differential equation with state-dependent delay. It is shown that every bounded solution of such an equation tends to a constant as t โ โ. Our results improve and extend some corresponding ones already known.
RETRACTED: Asymptotic behavior of solutions to a system of differential equations with state-dependent delays
โ Scribed by Lijuan Wang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 239 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we investigate the asymptotic behavior of solutions to a system of differential equations with state-dependent delays. It is shown that every bounded solution of such a system tends to a constant vector as t โ โ. Our results improve and extend some corresponding ones already known.
๐ SIMILAR VOLUMES
In this paper, we investigate the asymptotic behavior of solutions to a differential equation with multiple state-dependent delays. It is shown that every bounded solution of such an equation tends to a constant as t โ โ. Our results improve and extend some corresponding ones already known.
In this paper we consider a sufficient condition for W t, x t to approach zero ลฝ . as t ยช ฯฑ, where x t is a solution of a non-autonomous functional differential ลฝ . equation with finite delays and W t, x is a so-called Lyapunov function. We shall show that in the applications this provides useful in