Journal of Jishou University(Natural Sciences Edition)

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Periodic Solution for a Class of Hamiltonian Systems on Time Scales

ZHANG Shengui   

  1. (College of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou  730030,China)
  • Online:2016-07-25 Published:2016-07-19


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.

Key words: Hamiltonian systems on time scales, periodic solution, critical point

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