数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (2): 371-380.doi: 10.1007/s10473-021-0203-4

• 论文 • 上一篇    下一篇

MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES

王明伟, 郭飞   

  1. School of Mathematics, Tianjin University, Tianjin 300354, China
  • 收稿日期:2019-03-26 修回日期:2020-08-16 出版日期:2021-04-25 发布日期:2021-04-29
  • 通讯作者: Fei GUO E-mail:guofei79@tju.edu.cn
  • 作者简介:Mingwei WANG,E-mail:1922167518@qq.com
  • 基金资助:
    Supported by National Natural Science Foundation of China (11371276,10901118) and Elite Scholar Program in Tianjin University, P.R.China.

MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES

Mingwei WANG, Fei GUO   

  1. School of Mathematics, Tianjin University, Tianjin 300354, China
  • Received:2019-03-26 Revised:2020-08-16 Online:2021-04-25 Published:2021-04-29
  • Contact: Fei GUO E-mail:guofei79@tju.edu.cn
  • About author:Mingwei WANG,E-mail:1922167518@qq.com
  • Supported by:
    Supported by National Natural Science Foundation of China (11371276,10901118) and Elite Scholar Program in Tianjin University, P.R.China.

摘要: The multiplicity of periodic solutions for a class of second order Hamiltonian system with superquadratic plus subquadratic nonlinearity is studied in this paper. Obtained via the Symmetric Mountain Pass Lemma, two results about infinitely many periodic solutions of the systems extend some previously known results.

关键词: Multiplicity, periodic solutions, second order Hamiltonian systems, Symmetric Mountain Pass Lemma

Abstract: The multiplicity of periodic solutions for a class of second order Hamiltonian system with superquadratic plus subquadratic nonlinearity is studied in this paper. Obtained via the Symmetric Mountain Pass Lemma, two results about infinitely many periodic solutions of the systems extend some previously known results.

Key words: Multiplicity, periodic solutions, second order Hamiltonian systems, Symmetric Mountain Pass Lemma

中图分类号: 

  • 70H05