一类具次二次势能的二阶Hamilton系统同宿解的存在性（英文）  

Existence of homoclinic solutions for a class of second order Hamiltonian system with sub-quadratic potential

作　　者：孙昭洪[1] 贺铁山[1] 陈传勇[1] 

机构地区：[1]仲恺农业工程学院计算科学学院

出　　处：《仲恺农业工程学院学报》2016年第4期57-62,共6页Journal of Zhongkai University of Agriculture and Engineering

基　　金：Supported by National Natural Science Foundation of China(11401111)

摘　　要：一类二阶Hamilton系统在次二次势能的情况,在没有对称性条件下,很少见到有关系统同宿解的存在性结果.应用Linking定理研究了系统同宿解的存在性结果,推广和改进了已知研究中的一些结果.In the case that potential was sub-quadratic, very few results for existence of homoclinic solutions of the systems without symmetry were seen. The existence result for homoclinic solutions of a class of second order Hamihonian system was investigated by Linking theorem, some results in literature were generalized and improved.

关 键 词：紧性 Linking定理 次二次函数 同宿解 

分 类 号：O175[理学—数学]