๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On asymptotic solutions to delay differential equation with slowly varying coefficients

โœ Scribed by Yuriy A. Mitropolskiy; Valeriy Hr. Samoylenko; Giovanni Matarazzo

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
166 KB
Volume
52
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The object of this paper is to study a problem of construction of an approximate solution to the second-order weakly nonlinear ordinary delay di erential equation with slowly varying coe cients. Based on asymptotic techniques of nonlinear mechanics, an algorithm for asymptotic integration of di erential equation under consideration is given for the general case. Its e ciency is demonstrated by Du ng-type systems with delay as example.

๐Ÿ“œ SIMILAR VOLUMES

RETRACTED: Asymptotic behavior of soluti
RETRACTED: Asymptotic behavior of solutions to a differential equation with state-dependent delay
โœ Lequn Peng ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 246 KB

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†’ โˆž. Our results improve and extend some corresponding ones already known.

Asymptotic Behavior of Solutions of Func
Asymptotic Behavior of Solutions of Functional Differential Equations with Finite Delays
โœ Takeshi Taniguchi ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

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