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Generalized Nonsmooth Saddle Point Theorem and its applications on second order Hamiltonian systems

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  • Nie, Qianqian
  • Guo, Fei
  • Wang, Mingwei

Abstract

The Generalized Nonsmooth Saddle Point Theorem is proved, which generalizes the previous ones. As its application, we obtain the existence of nontrivial periodic bouncing solution for systems x¨=f(t,x) with new sublinear conditions, which has physical background.

Suggested Citation

  • Nie, Qianqian & Guo, Fei & Wang, Mingwei, 2017. "Generalized Nonsmooth Saddle Point Theorem and its applications on second order Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 741-747.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:741-747
    DOI: 10.1016/j.chaos.2017.09.032
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    References listed on IDEAS

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    1. S. G. Ji & S. Y. Shi, 2006. "Periodic Solutions for a Class of Second-Order Ordinary Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 125-137, July.
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