Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems

Mathematica Slovaca

Qiongfen Zhang¹  X. Tang¹ 

关键词: homoclinic solutions;    critical point;    second-order Hamiltonian systems;    Mountain Pass Theorem;   

DOI  :  10.2478/s12175-012-0054-5

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

By using the variant version of Mountain Pass Theorem, the existence of homoclinic solutions for a class of second-order Hamiltonian systems is obtained. The result obtained generalizes and improves some known works.

【 授权许可】

Unknown