The minimal period problem for the classical forced pendulum equation

DOI10.1016/j.jde.2009.03.031zbMath1179.34038OpenAlexW2001807178MaRDI QIDQ1025014

Jian She Yu

Publication date: 18 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.031

zbMATH Keywords

periodic solutioncritical point theorysubharmonic solutionminimal periodpendulum equation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items

Subharmonic solutions with prescribed minimal period of a forced pendulum equation with impulses, Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations, Subharmonic solutions with prescribed minimal period of an impulsive forced pendulum equation, Subharmonic solutions with prescribed minimal periodic for a class of second-order impulsive functional differential equations, Existence of periodic solutions of second order nonlinear \(p\)-Laplacian difference equations, Subharmonic oscillations of a forced pendulum with time-dependent damping, Existence of periodic solutions for the forced pendulum equations of variable length

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