Triple Positive Solutions to Initial-boundary Value Problems of Nonlinear Delay Differential Equations

被引：0

作者：

Wei, Yuming ^{[1
,2
]}

Wong, Patricia J. Y. ^{[3
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2009年 / 14期

基金：

中国国家自然科学基金;

关键词：

Boundary value problems; Positive solutions; Delay differential equations; Increasing homeomorphism and positive homomorphism; FIXED-SIGN SOLUTIONS; DEVIATING ARGUMENTS; EXISTENCE; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of triple positive solutions to the boundary value problem of nonlinear delay differential equation [GRAPHICS] where phi : R -> R is an increasing homeomorphism and positive homomorphism with phi(0) = 0, and x(t) is a function in C([-tau,0],R) defined by x(t)(sigma) = x(t + sigma) for -tau <= sigma <= 0. By using a fixed-point theorem in a cone introduced by Avery and Peterson, we provide sufficient conditions for the existence of triple positive solutions to the above boundary value problem. An example is also presented to demonstrate our result. The conclusions in this paper essentially extend and improve the known results.

引用

页码：1 / 11

页数：11

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