Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth

Boundary value problems

Dan Zhang¹ 

[1] Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, People’s Republic of China

关键词: homoclinic solutions;    critical point theory;    Hamiltonian systems;    nontrivial solution;   

DOI  :  10.1186/1687-2770-2012-132

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By properly constructing a functional and by using the critical point theory, we establish the existence of homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. Our result generalizes and improves some existing ones. An example is given to show that our theorem applies, while the existing results are not applicable.

【 授权许可】

CC BY