局部超二次二阶哈密尔顿系统周期解的多重性  

The multiplicity of periodic solutions for Hamiltonian systems with a local superquadratic condition

作　　者：王明伟 冯鑫鑫 朱亚培[1] WANG Ming-wei;FENG Xin-xin;ZHU Ya-pei(Foundational Courses Department,Agricultural University of Hebei,Cangzhou 061100,China)

机构地区：[1]河北农业大学基础课部,河北沧州061100

出　　处：《兰州理工大学学报》2024年第2期169-172,共4页Journal of Lanzhou University of Technology

基　　金：河北省高等学校科学技术研究项目青年基金(QN2020141);河北省省属高等学校基本科研业务费研究项目(KY2023066)。

摘　　要：运用对称山路引理研究一类二阶哈密尔顿系统在局部超二次条件下周期解的多重性问题.得到了系统的能量泛函的无穷多个临界点.在此局部超二次条件下,二阶哈密尔顿系统有无穷多个周期解.The multiplicity of periodic solutions for a class of second-order Hamiltonian systems with local superquadratic conditions is studied via the Symmetric Mountain Pass Lemma.Infinitely many critical points of the energy functional of the system are obtained.Under this local superquadratic condition,it is demonstrated that the second-order Hamiltonian system has infinitely many periodic solutions.

关 键 词：二阶哈密尔顿系统 周期解 多重性 局部超二次 

分 类 号：O177.91[理学—数学]