Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems

Boundary value problems

Xingfan Chen¹  Fei Guo¹ 

[1]Department of Mathematics, School of Science, Tianjin University, Tianjin, P.R. China

关键词: existence;    multiplicity;    second order Hamiltonian systems;    the least action principle;    minimax methods;    34C25;    37J45;    47E05;    49J35;    58E50;   

DOI  :  10.1186/s13661-016-0647-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the least action principle, the existence of periodic solutions for some nonautonomous second order Hamiltonian systems is obtained. Using minimax methods, the multiplicity of periodic solutions is obtained. Our results extend some previous results.

【 授权许可】

CC BY