Comparison theorems in delay differential equations in a critical state and applications

被引：4
|
作者：
Yu, JS [1 ]
Tang, XH
机构：
[1] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China
[2] Cent S Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2001年 / 63卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1112/S0024610700001599
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
First, two comparison theorems are established between the first order delay differential equation x ' (t)+p(t)x(tau (t))= 0, t greater than or equal to t(0) (*) and two related second order ordinary differential equations in the case when f(tau (t))(t)p(s) ds greater than or equal to 1/e. (**) Next, by using these comparison theorems some new oscillation and non-oscillation criteria are given for (C) under condition (**). As a consequence, an open problem by Elbert and Stavroulakis is completely solved.
引用
收藏
页码：188 / 204
页数：17
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