On oscillation and asymptotic behaviour of solutions of forced first order neutral differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On oscillation and asymptotic behaviour of solutions of forced first order neutral differential equations

Authors:

Affiliation:

(1) Department of Mathematics, Berhampur University, 760 007 Berhampur, India;(2) Department of Mathematics, Govt. Science College, 761 020 Chatrapur, India

Abstract:

In this paper, sufficient conditions have been obtained under which every solution of

$$left[ {y(t) pm y(t - tau )]'} right. pm Q(t)G(y(t - sigma )) = f(t), t geqslant 0$$

, oscillates or tends to zero or to ±∞ → ∞. Usually these conditions are stronger than

$intlimits_0^infty {Q(t)dt = infty }$

. An example is given to show that the condition (*) is not enough to arrive at the above conclusion. Existence of a positive (or negative) solution of

$$[y(t) - y(t - tau )]' + Q(t)G(y(t - sigma )) = f(t)$$

is considered.

Keywords:

Oscillation nonoscillation neutral equations asymptotic behaviour

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏