摘要
基于变分法,运用三临界点定理,得到了一类有小强迫项的二阶离散哈密尔顿系统的周期解的多重性,推广了现有文献的相关结果,并给出例子加以说明.
In the paper, based on variational method, multiple periodic solutions are obtained for a class of second-order discrete Hamiltonian systems with a small forcing term by three critical theorem in Morse theory. Our results extend some existing ones and two examples are showed to illustrate our results.
出处
《数学的实践与认识》
北大核心
2018年第3期217-224,共8页
Mathematics in Practice and Theory
基金
湖北省教育厅科学技术研究重点项目(D20172903)