摘要
研究了二阶非自治离散Hamiltonian系统周期解的存在性.在非线性项是线性增长时,将这类Hamiltonian系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立此类系统周期解的存在性结果.
In this paper, the existence of periodic solutions for second order non-autonomous discrete Ham- iltonian system with linear nonlinearity have been investigated, periodic solutions of the system into the critical points of a functional defined on a proper space converted, and existence of periodic solutions by critical point theory proved.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第9期13-18,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(71261022)
西北民族大学中青年科研项目(12038)