Existence nonexistence and multiplicity of periodic solutions for a kind of functional differential equation with parameter

被引：12

作者：

Wu, Yuexiang ^{[1
]}

机构：

[1] Shanxi Univ Finance & Econ, Dept Appl Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期

关键词：

Functional differential equation; Periodic solution; Existence; Multiplicity; Fixed point theorem; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS;

D O I：

10.1016/j.na.2007.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence, multiplicity and nonexistence of positive omega-periodic solutions for a kind of second-order delay functional differential equation with parameter ii(t) + a(t)u(t) = lambda f(t, u(t - tau(0)(t)), u(t - tau(1)(t)),..., u(t - tau(n)(t))) by employing the Krasnoselskii fixed point theorem for a cone map, where lambda > 0 is a parameter; some new results are obtained. As an application of our results, we discuss an example.

引用

页码：433 / 443

页数：11

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