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

Qianqian Nie, Fei Guo and Mingwei Wang

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 741-747

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.

Keywords: Generalized Nonsmooth Saddle Point Theorem; Impact; Periodic bouncing solution; Second order Hamiltonian systems (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:741-747

DOI: 10.1016/j.chaos.2017.09.032

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