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一类测度链上哈密顿系统的周期解 被引量：1

Periodic Solution for a Class of Hamiltonian Systems on Time Scales
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摘要 研究测度链上非自治二阶哈密顿系统周期解的存在性问题.在非线性项线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立此类系统周期解的存在性结果. The existence of periodic solutions for non-automous second order Hamiltonian systems on time scales is studied.With the linear growth of nonlinear terms,the periodic solutions for the systems are converted into the critical points of a functional defined in a proper space,and the existence of periodic solutions is thus proved by critical point theory.
作者 张申贵
机构地区 西北民族大学数学与计算机科学学院
出处 《吉首大学学报（自然科学版）》 CAS 2016年第4期1-5,共5页 Journal of Jishou University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(31260098) 天元数学基金资助项目(11326100) 西北民族大学中央高校基本科研业务费专项资助(31920130004)
关键词 测度链上哈密顿系统 周期解 临界点 Hamiltonian systems on time scales periodic solution critical point
分类号 O175.12 [理学—基础数学]
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参考文献11

  • 1BOHNER MARTIN,PETERSON ALLAN.Dynamic Equations on Time Scales:An Introduction with Applications[M].Boston:Birkhuser,2001:35-38.
  • 2BOHNER MARTIN,PETERSON ALLAN.Advances in Dynamic Equations on Time Scales[M].Boston:Birkhuser,2003:1-75.
  • 3ZHOU Jianwen,LI Yongkun,WANG Yanning.Variational Approach to a Class of Nonautonomous Second-Order Systems on Time Scales with Impulsive Effects[J].Taiwan Residents Journal of Mathematics,2013,17(5):1 575-1 596.
  • 4ZHOU Jianwen,LI Yongkun.Variational Approach to a Class of p-Laplacian Systems on Time Scales[J].Advances in Difference Equations,2013(1):1-16.
  • 5SU Youhui,LI Wantong.Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales[J].Discrete Dynamics in Nature and Society,2009,13:1-17.
  • 6SU Youhui,LI Wantong.Periodic Solution for Non-Autonomous Second Order Hamiltonian Systems on Time Scales[J].Dynamic Systems and Applications,2009,18:621-636.
  • 7SU Youhui,FENG Zhaosheng.A Nonautonomous Hamiltonian System on Time Scales[J].Nonlinear Anal,2012,75(10):4 126-4 136.
  • 8ZHOU Jianwen,LI Yongkun.Variational Approach to a Class of Second Order Hamiltonian Systems on Time Scales[J].Acta Applicandae Mathematicae,2012,117(1):47-69.
  • 9LI Yongkun,ZHOU Jianwen.Existence of Solutions for a Class of Damped Vibration Problems on Time Scales[J].Advances in Difference Equations,2010,27(1):1-27.
  • 10张申贵.测度链上次线性二阶Hamilton系统周期解的存在性[J].吉首大学学报（自然科学版）,2014,35(5):1-5. 被引量：1

二级参考文献14

  • 1MARTIN BOHNER,ALLAN C PETERSON.Dynamic Equations on Time Scales:An Introduction with Applications[M].Boston:Birkh(a)user,2001.
  • 2MARTIN BOHNER,PETERSON A.Advances in Dynamic Equations on Time Scales[M].Boston:Birkh(a)user,2003.
  • 3LI Wantong,SUN Hongrui.Multiple Positive Solutions for Nonlinear Dynamic Systems on a Measure Chain[J].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].Nonlinear Anal.,2005,62:131-139.
  • 5SUN Jianping,LI Wantong.Existence of Positive Solutions to Semipositone Dirichlet BVPs on Time Scales[J].Dynammics Systems Applications,2007,16:571-578.
  • 6SU Youhui,LI Wantong.Triple Positive Solutions of m-Point BVPs for p-Laplacian Dynamic Equations on Time Seales[J].Nonlinear Anal.,2008,69:3 811-3 820.
  • 7RYNNE B P.L2 Spaces and Boundary Value Problems on Time-Scales[J].J.Math.Anal.Appl.,2007,328:1 217-1 236.
  • 8ZHANG Hongtao,LI Yongkun.Existence of Positive Periodic 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-Order Hamiltonian Systems with a Change Sign Potential on Time Scales[J].Discrete Dynamics in Nature and Society,2009,13:1-17.
  • 10SU Youhui,LI Wantong.Periodic Solution for Non-Autonomous Second Order Hamiltonian Systems on Time Scales[J].Dynamic Systems and Applications,2009,18:621-636.

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吉首大学学报（自然科学版）
2016年 第4期

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