Articles

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

  • Mingwei WANG ,
  • Fei GUO
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  • School of Mathematics, Tianjin University, Tianjin 300354, China
Mingwei WANG,E-mail:1922167518@qq.com

Received date: 2019-03-26

  Revised date: 2020-08-16

  Online published: 2021-04-29

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.

Cite this article

Mingwei WANG , Fei GUO . MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES[J]. Acta mathematica scientia, Series B, 2021 , 41(2) : 371 -380 . DOI: 10.1007/s10473-021-0203-4

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