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一类超二次二阶哈密顿系统非平凡周期解的存在性
  • ISSN号：1673-9868
  • 期刊名称：《西南大学学报：自然科学版》
  • 时间：0
  • 分类：O176.3[理学—数学;理学—基础数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆 400715
  • 相关基金：基金项目：国家自然科学基金资助项目（10771173）.
作者： 伍君芬[1], 吴行平[1]
关键词： 周期解, 二阶哈密顿系统, 超二次条件, (C)^＊条件, 局部环绕, periodic solution, second-order Hamiltonian system, superquadratic condition, （C）^＊ condition, local linking
中文摘要：

运用临界点理论中的极小极大方法证明了一类超二次非自治二阶哈密顿系统非平凡周期解的存在性，并得到了一些新的可解性条件。

英文摘要：

The existence of nontrivial periodic solutions is proved for a class of superquadratic nonautonomous second-order Hamiltonian systems by the minimax method in critical point theory, and some new solvability conditions are obtained.

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拟线性椭圆系统解的存在性与多重性
期刊论文 62 会议论文 1
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期刊信息
  • 《西南大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400716
  • 邮箱：xbgjxt.swu.cn
  • 电话：023-68254576 68252540
  • 国际标准刊号：ISSN：1673-9868
  • 国内统一刊号：ISSN：50-1189/N
  • 邮发代号:78-166
  • 获奖情况:
  • 全国高校优秀科技期刊,重庆市一级期刊,重庆市十佳科技期刊,中国高校精品科技期刊
  • 国内外数据库收录:
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  • 被引量:10331