一类超二次二阶Hamiltonian系统同宿解的一个注记（英文）  

A note on homoclinic solutions for a class of superquadratic second order Hamiltonian systems

作　　者：贺铁山[1] 梁凯豪[1] HE Tieshan;LIANG Kaihao(College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China)

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2017年第4期51-58,共8页Journal of Zhongkai University of Agriculture and Engineering

基　　金：Supported by Science and Technology Plan Foundation of Guangzhou(201607010218);Public Research&Capacity Building Project of Guangdong(2015A070704059)

摘　　要：利用基于Ekeland变分原理的山路引理、自伴算子谱论及有限维逼近方法,在一类新的超二次条件下研究了非周期二阶Hamiltonian系统同宿解的存在性问题,得到了一个新的存在性定理,改进并推广了已有的结果.The existence of homoclinic solutions for the non-periodic second order Hamihonian systems was studied. Under a class of new superquadratic conditions, a new existence result was obtained by ap- plying the Mountain Pass Theorem relying on Ekeland＇s variational principle, the spectral theory of self- adjoint operators and finite dimensional approximations. The recent results in the literature were general- ized and significantly improved.

关 键 词：同宿解 HAMILTONIAN系统 超二次 变分法 自伴算子谱论 

分 类 号：O176.3[理学—数学]