Subharmonic solutions with prescribed minimal period of an impulsive forced pendulum equation

DOI10.1016/j.aml.2015.09.006zbMath1380.34065OpenAlexW2136610663MaRDI QIDQ901015

Jingli Xie, Zhi-guo Luo

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.09.006

zbMATH Keywords

impulsive differential equationsubharmonic solutionminimal periodcritical point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Forced motions for nonlinear problems in mechanics (70K40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (6)

Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods ⋮ Subharmonic solutions with prescribed minimal period of a forced pendulum equation with impulses ⋮ Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions. ⋮ Variational approach to differential equations with not instantaneous impulses ⋮ Multiple periodic solutions for a class of second-order neutral impulsive functional differential equations ⋮ Subharmonic oscillations of a forced pendulum with time-dependent damping

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