Harmonic oscillators at resonance perturbed by a non-linear friction force

DOI10.1016/S0252-9602(14)60066-7zbMATH Open1324.34087arXiv1609.00369OpenAlexW2964268578MaRDI QIDQ2350406

Philip Korman, Yi Li

Publication date: 29 June 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Abstract: This note is an addendum to the results of P.O. Frederickson and A.C. Lazer [1], and A.C. Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more general result. It turns out that things are different for the corresponding Dirichlet boundary value problem.

Full work available at URL: https://arxiv.org/abs/1609.00369

zbMATH Keywords

existenceperiodic solutionsresonance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Resonant oscillations of a gyroscope with nonlinear frequency-dependent friction in the elastic suspension ⋮ Forced nonlinear oscillator with nonsymmetric dry friction ⋮ Nonlinear friction in underdamped anharmonic stochastic oscillators ⋮ A nonsmooth Coulomb friction oscillator ⋮ Perturbed positively-\((p, q)\)-homogeneous Hamiltonian systems with Frederickson-Lazer conditions

This page was built for publication: Harmonic oscillators at resonance perturbed by a non-linear friction force

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2350406)