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

作　　者：Mingwei WANG Fei GUO 王明伟;郭飞(School of Mathematics,Tianjin University,Tianjin 300354,China)

机构地区：[1]School of Mathematics,Tianjin University,Tianjin 300354,China

出　　处：《Acta Mathematica Scientia》2021年第2期371-380,共10页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China (11371276,10901118);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 

分 类 号：O175[理学—数学]