MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS

被引：0

作者：

Bao, Gui ^{[1
]}

Han, Zhiqing ^{[1
]}

Yang, Minghai ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Second order Hamilton system; Homoclinic solution; variational method; ORBITS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a modified function technique and variational methods, we establish the existence of infinitely many homoclinic solutions for a second-order Hamiltonian system u - L (t)u + F-u (t, u) = 0, for all t is an element of R, where no coercive condition for F (t, u) at infinity is imposed.

引用

页数：11

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