At least three solutions for the Hamiltonian system and reduction method

Journal of inequalities and applications

Tacksun Jung¹ 

关键词: Hamiltonian system;    asymptotical linearity;    variational reduction method;    critical point theory;    variational method;   

DOI  :  10.1186/1029-242X-2013-91

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a theorem which shows the existence of at least three 2π-periodic solutions for the asymptotically linear Hamiltonian system. We obtain this result by the variational reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory and the variational method. MSC:35A15, 37K05.

【 授权许可】

CC BY