一类二阶Hamiltonian系统的无穷多周期解
일류이계Hamiltonian계통적무궁다주기해
Infinitely periodic solutions for a class second-order Hamiltonian systems
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2009年 4期 690-694 ,共5页

    裴瑞昌%李海合

    배서창%리해합

    哈密尔顿系统%司期解%超线性%对称型山路引理 哈密爾頓繫統%司期解%超線性%對稱型山路引理
    합밀이돈계통%사기해%초선성%대칭형산로인리
    Hamiltonian systems%periodic solutions%superlinear%symmetric version mountain pass theorem
    研究一类超线性二阶Hamiltonian系统,且非线性项是奇的,不需要假设Ambrosetti-Rabinowitz的超二次条件,利用对称型山路引理得到无穷多周期解存在性结果.
    연구일류초선성이계Hamiltonian계통,차비선성항시기적,불수요가설Ambrosetti-Rabinowitz적초이차조건,이용대칭형산로인리득도무궁다주기해존재성결과.
    In this paper,we consider a class superlinear second order Hamiltonian systems,where the nonlinearity is odd. Under no Ambrosetti-Rabinowitz's super quadratic condition,infinitely periodic solutions are obtained by using symmetric version mountain pass theorem.
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