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一类超2次2阶哈密顿系统的无穷多周期解 被引量：1

Infinitely Many Periodic Solutions for a Class of Superquadratic Second Order Hamiltonian Systems
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摘要 运用临界点理论中的喷泉定理研究了一类超2次2阶哈密顿系统多重周期解的问题,得到了其无穷多个大能量周期解的存在性,丰富并推广了已有的结果. By means of fountain theorem in critical point theory,the multiple periodic solution problem for a class of second order Hamiltonian systems is studied,and infinitely many large energy solutions are obtained,which enriches and generalizes the existing results.
作者 李芳 张清业
机构地区 江西师范大学数学与信息科学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2012年第6期589-593,601,共6页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金数学天元基金(11126146) 江西师范大学青年成长基金(3914)资助项目
关键词 超2次 哈密顿系统 周期解 CERAMI条件 喷泉定理 superquadratic second order Hamiltonian system periodic solution Cerami’s condition fountain theorem
分类号 O177.25 [理学—基础数学]
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参考文献22

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共引文献23

同被引文献12

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  • 4Wu Xingping, Tang Chunlei. Periodic solutions of a class of non-autonomous second-order systems [ J ]. J Math Anal Appl, 1999,236 (2) : 227 -235.
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  • 7Tang Chunlei. Periodic solutions of non-autonomous second order systems [ J ]. J Math Anal Appl, 1996,202 (2) :465- 469.
  • 8Tang Chunlei, Wu Xingping. Periodic solutions for second order systems with not uniformly coercive potential [ J ]. J Math Anal Appl,2001,259(2) :386-397.
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引证文献1

江西师范大学学报（自然科学版）
2012年 第6期

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