On the existence and multiplicity of positive periodic solutions of a nonlinear third-order equation

被引：26

作者：

Feng, Yuqiang ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 08期

基金：

美国国家科学基金会;

关键词：

Third-order differential equation; 2 pi-periodic solution; Existence; Multiplicity; Fixed point theorem on cones; 2ND; 3RD;

D O I：

10.1016/j.aml.2009.01.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the existence and multiplicity of positive 2 pi-periodic solutions for the following nonlinear third-order problem u'''(t) + alpha u ''(t) + beta u'(t) = f(t, u(t)). Here alpha, beta are two positive constants, f (t, u) is an element of C(R x R, R) f (t + 2 pi, u) = f(t, u). The proof relies on a fixed point theorem on cones. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1220 / 1224

页数：5

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