期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类带阻尼项的二阶Hamilton系统的周期解

Periodic Solutions for a Class of Second-Order Hamiltonian Systems with Damped Vibration
下载PDF
导出
摘要 利用临界点理论研究了测度链上带有阻尼项的二阶Hamilton系统的周期解.当非线性项超线性增长时,根据对称山路定理,得到了系统无穷多个周期解存在的充分条件. By using critical point theory, the existence of the periodic solutions for second-order Hamihonian systems on time scales with damped vibration is studied. In the cases that the nonlinearity grows is superlinear, the sufficient conditions for the existence of infinite periodic solutions are obtained by using the symmetric mountain pass theorem.
作者 张环环
机构地区 西北民族大学数学与计算机科学学院
出处 《宁夏师范学院学报》 2014年第6期31-36,59,共7页 Journal of Ningxia Normal University
基金 数学天元基金(11326100) 中央高校基本科研业务费专项资助(31920130010)
关键词 周期解 超线性 测度链 二阶HAMILTON系统 Periodic solutions Superlinear Time scales Second -order Hamiltonian systems
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献14

  • 1Bohner M, Peterson A. Dynamic Equations on Time Scales : An Introduction with Applications [ M ]. Boston : Birkhaus- er ,2001.
  • 2Bohner M, Peterson A. Advances in Dynamic Equations on Time Scales [ M ]. Boston : Birkhauser,2003.
  • 3Li Wantong, Sun Hongrui. Multiple positive solutions for nonlinear dynamic systems on a measure chain [ J ]. Comput Appl. Math,2004,162:421 - 430.
  • 4Sun Jianping, Li Wantong. Positive solution for system of nonlinear first - order PBVPs on time scales [ J ]. Non- linear Anal ,2005,62 : 131-139.
  • 5Sun Jianping, Li Wantong. Existence of positive solutions to semipositone Dirichlet BVPs on time scales [ J ]. Dy- nammics Systems Applications ,2007,16:571-578.
  • 6Su Youhui, Li Wantong. Triple positive solutions of m - point BVPs for p - Laplacian dynamic equations on time scales[ J]. Nonlinear Anal ,2008,69:3811-3820.
  • 7Rynne B P. Lz spaces and boundary value problems on time-scales [ J ]. Math Anal. App1. ,2007,328:1217-1236.
  • 8Zhang Hongtao, Li Yongkun. Existence of positive peri- odic solutions for functional differential equations with impulse effects on time scales [ J ]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(1) :19-26.
  • 9Su Youhui, Li Wantong. Periodic solution of second - or- der Hamiltonian systems with a change sign potential on time scales[J]. Discrete Dynamics in Nature and Socie- ty ,2009,13 : 1-17.
  • 10Su Youhui, Li Wantong. Periodic solution for non - au- tonomous second order Hamihonian systems on time Scales[ J ]. Dynamic Systems and Applications, 2009, 18:621-636.
宁夏师范学院学报
2014年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部