Multiplicity of periodic bouncing solutions for generalized impact Hamiltonian systems

Abstract Applying the Generalized Nonsmooth Saddle Point Theorem, we obtain multiple nontrivial periodic bouncing solutions for systems x¨=f(t,x) $\ddot{x}=f(t,x)$ with new conditions. In particular, we generalize the collision axis from x=0 $x=0$ to the axis x=a $x=a$, where a is an arbitrary const...

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Bibliographic Details
Main Authors: Delong Huang, Fei Guo
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1169-1