阻尼振动系统的无穷多小的弱同宿解（英文）  

Infinitely many small weakly homoclinic solutions for damped vibration systems

作　　者：孙昭洪[1] 贺铁山[1] 李时敏[2] 

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》2015年第4期54-60,共7页Journal of Zhongkai University of Agriculture and Engineering

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

摘　　要：研究了一类具局部定义势能的阻尼振动系统的无穷多小的弱同宿解的存在性问题.应用一个与对称山路引理相关的临界点定理,获得系统具有无穷多小的弱同宿解的判定准则.推广和改进了文献中的一些结果.The existence of infinitely many small weakly homoclinic solutions for a class of damped vibration systems with locally defined potentials was studied. Using a critical point theorem related to the symmetric mountain pass lemma,a new criteria for guaranteeing that the systems had infinitely many weakly homoclinic solutions which converged to zero was obtained. Recent results in the literature were generalized and significantly improved.

关 键 词：紧性 局部定义的势能 次二次函数 弱同宿解 

分 类 号：O175[理学—数学]