The aim of this paper is to deduce oscillatory and asymptotic behaviour of delay differential equation L,u(t) -P ( t ) u ( W ) = 0 from the oscillation of a set of the first order delay differential equations with larger deviating argument of the form ## ~' ( t ) + q i ( t ) Y ( w ( ~)
Asymptotic Properties of Delay Differential Equations
✍ Scribed by Vincent Šltés; Jozef Džurina
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 313 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation
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and the delay differential equation
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by comparing these equations with a set of the first order advanced differential inequalities.
📜 SIMILAR VOLUMES
are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.
## Abstract In the paper the asymptotic behaviour of the solutions of a class of neutral differential equations with distributed delay is studied.
In this paper we consider a sufficient condition for W t, x t to approach zero Ž . as t ª ϱ, where x t is a solution of a non-autonomous functional differential Ž . 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