Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (2): 371-380.doi: 10.1007/s10473-021-0203-4

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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.

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

CLC Number: 

  • 70H05
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