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.
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页码：1220 / 1224
页数：5
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