EXISTENCE OF A COUNTABLE SET OF PERIODIC SOLUTIONS OF THE PROBLEM OF FORCED OSCILLATIONS FOR A WEAKLY NONLINEAR WAVE EQUATION

DOI10.1070/SM1989v064n02ABEH003327zbMath0683.35054OpenAlexW2069052857MaRDI QIDQ4732800

P. I. Plotnikov

Publication date: 1989

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1989v064n02abeh003327

zbMATH Keywords

periodic solutionsforced oscillationsweakly nonlinear wave equationforced oscillation problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Periodic solutions to the wave equation with homogeneous boundary conditions ⋮ On solvability of a periodic problem for a nonlinear telegraph equation ⋮ Periodic solutions of the quasilinear equation of forced vibrations of an inhomogeneous string ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ Forced vibrations via Nash-Moser iteration

This page was built for publication: EXISTENCE OF A COUNTABLE SET OF PERIODIC SOLUTIONS OF THE PROBLEM OF FORCED OSCILLATIONS FOR A WEAKLY NONLINEAR WAVE EQUATION