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.
RETRACTED: Asymptotic behavior of solutions to a differential equation with state-dependent delay
โ Scribed by Lequn Peng
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 246 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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.
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.
are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.
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