Existence of homoclinic solutions for a class of second order ordinary differential equations

被引：2

作者：

Alves, Claudianor O. ^{[1
]}

Carriao, Paulo C. ^{[2
]}

Faria, Luiz F. O. ^{[3
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat Estat, Campina Grande, PB, Brazil

[2] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Belo Horizonte, MG, Brazil

[3] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Dept Matemat, Juiz De Fora, MG, Brazil

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Nonlinear ODE; Galerkin's Method; Homoclinic solution;

D O I：

10.1016/j.nonrwa.2011.02.018

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 of homoclinic solutions for the following class of second order ordinary differential equations (ODEs) {-(A(u(t)u'(t))' + u(t) = h(t, u(t)) + g(t, u'(t)), t is an element of R u(+/-infinity) = u'(+/-infinity) = 0, (P) where A, h and g are nonnegative continuous functions. Using Galerkin's Method and assuming additional hypotheses on A, h and g, we show the existence of a homoclinic solution to problem (P). (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2416 / 2428

页数：13

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