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测度链上次线性二阶Hamilton系统周期解的存在性 被引量：1

Periodic Solution for Sublinear Non-Autonomous Second Order Hamiltonian Systems on Time Scales
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摘要 研究测度链上非自治二阶Hamilton系统周期解的存在性问题.在非线性项次线性增长时,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了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 with sublinear nonlinearity is investigated. The periodic solutions of the system are converted into the critical points of a functional defined on a proper space, and the existence of periodic solutions is 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 2014年第5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) 中央高校基本科研业务费专项资助项目(31920130004)
关键词 测度链上系统 周期解 次线性 临界点理论 Hamiltonian systems on time scales periodic solution, sublinear critical point theory
分类号 O175.12 [理学—基础数学]
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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.
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同被引文献10

  • 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.
  • 10MAWHIN JEAN,WILLEM MICHEL.Critical Point Theory and Hamiltonian Systems[M].New York:Springer-Verlag,1989.

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吉首大学学报（自然科学版）
2014年 第5期

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