scholarly journals Bouncing periodic solutions for forced Pendulum-type equations with impact

2018 ◽  
Vol 48 (5) ◽  
pp. 579
Author(s):  
Wu Yinyin ◽  
Qian Dingbian
Keyword(s):  
Periodic Solutions ◽  
Forced Pendulum ◽  
Pendulum Type Equations

Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane

2012 ◽  
Vol 12 (2) ◽  
Author(s):  
Alessandro Fonda ◽  
Rodica Toader
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Point Theorem ◽  
Elementary Level ◽  
Pendulum Equation ◽  
Forced Pendulum ◽  
The One

AbstractBy the use of a generalized version of the Poincaré-Birkhoff fixed point theorem, we prove the existence of at least two periodic solutions for a class of Hamiltonian systems in the plane, having in mind the forced pendulum equation as a particular case. Our approach is closely related to the one used by Franks in [15], but the proof remains at a more elementary level.

Sign in / Sign up

Export Citation Format

Share Document