二阶非自治Hamilton系统周期解的存在性结论  

Conclusion on existence of periondic solution to non-autonomous second-order Hamilton system

作　　者：刘小运[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2010年第1期55-58,共4页Journal of Bohai University:Natural Science Edition

摘　　要：讨论了二阶非自治Hamilton系统周期解的存在性问题。给的条件保证了该系统非常值解的存在性,扩展了文献中的结论。主要运用临界点理论中的环绕方法证明在新设的条件下解的存在性。The problem of the existence of periodic solution to non-autonomous second-order Hamilton system is discussed.The given conditions guarantee the existence of the non-constant solution and the conclusion made in documents is extended.The linking method in critical point theory is applied to prove the existence of solutions under new given conditions.

关 键 词：非线性泛函分析 HAMILTON系统 临界点 环绕 周期解 

分 类 号：O175.15[理学—数学]