Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials

被引：65

作者：

Yang, Jie ^{[1
]}

Zhang, Fubao ^{[2
]}

机构：

[1] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期

关键词：

Variant fountain theorem; Homoclinic orbits; Super-quadratic; Second-order Hamiltonian systems; EXISTENCE;

D O I：

10.1016/j.nonrwa.2008.01.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of infinitely many homoclinic orbits for some second-order Hamiltonian systerns: ii - L(t)u(t) + del F(t, u(t)) = 0, for all t is an element of R, by the variant fountain Theorem, where F(t, u) satisfies the super-quadratic condition F(t, u)/vertical bar u vertical bar(2) -> infinity as vertical bar u vertical bar -> infinity uniformly in t, and need not satisfy the global Ambrosetti-Rabinowitz condition. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1417 / 1423

页数：7

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