A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order odes

被引：26

作者：

Wang, Kaizhi ^{[1
]}

Li, Yong ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Anti-periodic solutions; Heteroclinic solutions; Leray-Schauder degree; Variational methods; NONMONOTONE EVOLUTION-EQUATIONS; NONLINEAR PARABOLIC EQUATIONS; LINEAR IMPACT OSCILLATORS; ANTIPERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; DISCONTINUOUS NONLINEARITIES; BOUNDARY-CONDITIONS; PERIODIC-SOLUTIONS; MOTIONS; TORUS;

D O I：

10.1016/j.na.2008.02.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of anti-periodic Solutions to the following second-order differential equation (q)double over dot = u(t, q) by using fixed point theory to-ether with the Green's function for the anti-periodic boundary value problem in the first part (Section 2) of the paper. Then in the next part (Section 3), we construct a kind of heteroclinic solution to some special cases of the equation above. Our method is variational in nature and is inspired by the ideas of Rabinowitz and Stredulinsky in [P. Rabinowitz. E. Stredulinsky, On sonic results of Moser and of Bangert, AIHP Anal. Nonlin. 21 (2004) 673-688]. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1711 / 1724

页数：14

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