Infinitely many homoclinic orbits for supperlinear Hamiltonian systems
Infinitely many homoclinic orbits for supperlinear Hamiltonian systems
复制标题
DOI：
--
复制
发表时间：
2012-04
影响因子：
0.7
通讯作者：
Jun Wang;Junxiang Xu;Fubao Zhang
中科院分区：
文献类型：
--
作者：
Jun Wang;Junxiang Xu;Fubao Zhang
In this paper we study the first order nonautonomous Hamiltonian system $$ \dot{z}=\mathcal J H_{z}(t,z), $$ where $H(t,z)$ depends periodically on $t$. By using a generalized linking theorem for strongly indefinite functionals, we prove that the system has infinitely many homoclinic orbits for weak superlinear cases.
