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二阶离散哈密尔顿系统周期解的存在性和多解性(英文) 被引量:2

Existence and Multiplicity of Periodic Solutions for Second-Order Discrete Hamiltonian Systems
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摘要 通过临界点理论中的极小作用原理,得到了一些关于非自治二阶离散哈密尔顿系统Δ2u(t-1)=F(t,u(t))t∈Z的解的存在与多解性结果. Some results are obtained for the second-order discrete Hamiltonian systems △^2 u(t-1 )=△↓F(t,u(t)) for anyt ∈Z by the least action principle in critical point theory.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期7-12,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471113) 教育部优秀青年教师教学科研奖励计划项目
关键词 离散哈密尔顿系统 周期解 临界点 极小作用原理 discrete Hamiltonian systems periodic solutiont critical points the least action principle
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