二阶Hamilton系统解的存在性和多重性(英文)  

On existence and multiplicity of solutions of second order Hamiltonian system

作　　者：孙昭洪[1] 李亚兰[1] 邹静晔[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》2011年第3期34-37,共4页Journal of Zhongkai University of Agriculture and Engineering

基　　金：Supported by Teaching Group Foundation(E4081708)of Zhongkai University of Agriculture and Engineering

摘　　要：在(LL)-条件下研究二阶非自治Hamilton系统ü(t)+F(t,u(t))=0,a.e.t∈R,获得了周期解和次调和解的存在性和多重性结果.The second order non-autonomous Hamihonian system u（t） ＋ F（t,u（t） ） =0, a. e. t∈ R was studied under so called （LL）-condition and some existence and multiplicity results of periodic and subharmonie solutions were obtained.

关 键 词：(LL)-条件 多重性 周期解 次调和解 

分 类 号：O175[理学—数学]