一类非自治共振二阶系统的多重周期解  

Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance

作　　者：张环环[1] 

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《吉首大学学报（自然科学版）》2015年第5期16-20,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：数学天元基金资助项目(11326100);中央高校基本科研业务费专项资助项目(31920130010)

摘　　要：研究了非自治共振二阶系统周期解的存在性问题.在非线性项次线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果.The existence of periodic solutions for non-automous second order systems at resonance is investigated. With the sub-linear increase of the non-linear term, the periodic solutions of the system are converted into the critical points of a functional defined on a proper space, and the existence of periodic solutions is proved through the critical point theory.

关 键 词：非自治二阶系统 临界点理论 周期解 共振 临界点 

分 类 号：O175.12[理学—数学]