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.
出处
《吉首大学学报（自然科学版）》
CAS
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)
关键词
非自治二阶系统
临界点理论
周期解
共振
临界点
non-autonomous second order systems
critical point theory
periodic solutions
resonance
critical point
