Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

被引：63

作者：

Sun, Juntao ^{[1
]}

Chen, Haibo ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

[2] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 01期

关键词：

Homoclinic solutions; Hamiltonian systems; Subquadratic; Variational methods; PERIODIC-SOLUTIONS; ORBITS; MULTIPLICITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.06.038

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 infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. By using the variant fountain theorem, we obtain a new criterion for guaranteeing that second-order Hamiltonian systems has infinitely many homoclinic solutions. Recent results from the literature are generalized and significantly improved. An example is also given in this paper to illustrate our main results. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：20 / 29

页数：10

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