Multiple positive solutions for boundary value problems of second-order delay differential equations

被引：39
|
作者：
Jiang, DQ [1 ]
机构：
[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 05期
关键词：
delay differential equation; boundary value problem; multiple positive solution;
D O I：
10.1016/S0893-9659(02)80009-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use a fixed-point index theorem in cones to study the existence of multiple positive solutions for boundary value problems of second-order delay differential equations with the form y"(x) + f(x, y(x - r)) = 0, 0 < x < 1, y(x) = 0, -r less than or equal to x less than or equal to 0, y(1) = 0, where 0 < r < 1/4 is suitably small. The main result here is the generalization of Liu and Li[1] for ordinary differential equations. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：575 / 583
页数：9
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