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.
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页码：433 / 443
页数：11
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