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Volume 8, Number 5, 2018, Pages 1524-1534                                                                DOI:10.11948/2018.1524
Existence of periodic solutions for Hamiltonian systems with super-linear and sign-changing nonlinearities
Liqian Jia,Guanwei Chen
Keywords:Second order Hamiltonian system, sign-changing, super quadratic, periodic solutions.
      In this paper, we consider the existence of periodic solutions for the super quadratic second order Hamiltonian system, and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our result extends and improves some existed results in the literature.
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