On the existence and multiplicity of positive periodic solutions for first-order vector differential equation

被引：5

作者：

Han, Xiao ^{[1
]}

Ji, Shuguan ^{[1
]}

Ma, Zhonghua ^{[1
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 329卷 / 02期

关键词：

existence; multiplicity; positive periodic solutions; periodic boundary value condition; Caratheodory function; fixed point theorem in cones;

D O I：

10.1016/j.jmaa.2006.07.009

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 and multiplicity of positive periodic solutions for first-order vector differential equation x'(t) + f (t, x (t)) = 0, a.e. t is an element of [0, omega] under the periodic boundary value condition x (0) = x (a)). Here a) is a positive constant, and f : [0, omega)] x R-n -> R-n is a Caratheodory function. Some existence and multiplicity results of positive periodic solutions are derived by using a fixed point theorem in cones. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：977 / 986

页数：10

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