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

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【Author】 Mingwei WANG;Fei GUO;School of Mathematics, Tianjin University;

【通讯作者】郭飞;

【机构】 School of Mathematics, Tianjin University；

【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.更多还原

【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.更多还原

【关键词】 Multiplicity； periodic solutions； second order Hamiltonian systems； Symmetric Mountain Pass Lemma；
【Key words】 Multiplicity； periodic solutions； second order Hamiltonian systems； Symmetric Mountain Pass Lemma；

【基金】 Supported by National Natural Science Foundation of China (11371276,10901118);Elite Scholar Program in Tianjin University,P.R.China

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2021年02期

【分类号】O175
【下载频次】47

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