一类具次二次势能的阻尼振动问题(英文)  

On a class of damped vibration problems with sub-quadratic potentials

作　　者：孙昭洪[1] 李时敏[2] 贺铁山[1] 高川翔[1] 

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225 [2]广东财经大学数学与统计学学院,广东广州510320

出　　处：《仲恺农业工程学院学报》2014年第4期51-56,共6页Journal of Zhongkai University of Agriculture and Engineering

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

摘　　要：应用临界点理论研究了具次二次势能的阻尼振动Hamilton系统的周期解的存在性和多重性,得到了一些新的结果.For the damped vibration Hamihonian systems with sub-quadratic potentials, the existence and multiplicity of periodic solutions was studied by using critical point theory. Some new results were obtained.

关 键 词：阻尼振动 次二次势能 解的多重性 鞍点特性 

分 类 号：O175[理学—数学]