Subharmonic solutions with prescribed minimal period of a forced pendulum equation with impulses

DOI10.1007/S10440-018-0177-YzbMath1407.34055OpenAlexW2795666397WikidataQ130034676 ScholiaQ130034676MaRDI QIDQ1630569

Fan Chao Kong

Publication date: 10 December 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-018-0177-y

zbMATH Keywords

impulsesleast action principlesubharmonic solutionprescribed minimal periodforced pendulum equation

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) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (5)

Globally exponential stability of piecewise pseudo almost periodic solutions for neutral differential equations with impulses and delays ⋮ Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions. ⋮ Lagrange stability for impulsive pendulum-type equations ⋮ Subharmonic oscillations of a forced pendulum with time-dependent damping ⋮ Subharmonic solutions in reversible non-autonomous differential equations

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• The existence of subharmonic solutions with prescribed minimal period for forced pendulum equations with impulses
• Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations
• An \(n\)-dimensional pendulum-like equation via topological methods
• Subharmonic oscillations for forced pendulum type equations
• Subharmonic solutions with prescribed minimal period of an impulsive forced pendulum equation
• Subharmonic oscillations of forced pendulum-type equations
• The minimal period problem for the classical forced pendulum equation
• Critical point theory and Hamiltonian systems
• Twist Character of the Least Amplitude Periodic Solution of the Forced Pendulum

This page was built for publication: Subharmonic solutions with prescribed minimal period of a forced pendulum equation with impulses