journal6 ›› 2015, Vol. 36 ›› Issue (5): 16-20.DOI: 10.3969/j.cnki.jdxb.2015.05.004

• 数学 • 上一篇    下一篇

一类非自治共振二阶系统的多重周期解

张环环   

  1. (西北民族大学数学与计算机科学学院,甘肃  兰州 730030)
  • 出版日期:2015-09-25 发布日期:2015-11-02
  • 作者简介:张环环(1980—),女,甘肃静宁人,西北民族大学数学与计算机科学学院讲师,产要从事非线性泛函分析研究.
  • 基金资助:

    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)

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

 ZHANG  Huan-Huan   

  1. (College of  Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China)
  • Online:2015-09-25 Published:2015-11-02

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.

关键词: 非自治二阶系统, 临界点理论, 周期解, 共振, 临界点

Abstract: 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.

Key words: non-autonomous second order systems, critical point theory;periodic solutions, resonance, critical point

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