Bifurcation of periodic solutions for a semilinear wave equation

DOI10.1016/0022-247X(79)90125-2zbMath0411.35067MaRDI QIDQ1259781

Hansjoerg Kielhoefer

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

regularitysemilinear wave equationboundary conditionssine-Gordon equationformal expansionsbifurcation of time periodic solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Bifurcations in context of PDEs (35B32)

Related Items (11)

Stable periods of a semilinear wave equation and bifurcation of periodic solutions ⋮ Standing waves in a counter-rotating vortex filament pair ⋮ Standing waves of fixed period for \(n+1\) vortex filaments ⋮ Free nonlinear vibrations for a class of two-dimensional plate equations: standing and discrete-rotating waves ⋮ Self-excited vibrations for damped and delayed 1-dimensional wave equations ⋮ Quasi-periodic self-excited travelling waves for damped beam equations ⋮ A bifurcation theorem for potential operators ⋮ Free nonlinear vibrations for plate equations on the equilateral triangle ⋮ Periodic solutions of vibrating strings. Degree theory approach ⋮ Nonlinear standing and rotating waves on the sphere ⋮ Free Vibrations in a Wave Equation Modeling MEMS

Cites Work

• Periodic solutions of certain nonlinear autonomous wave equations
• Periodic solutions of hamiltonian systems
• Periodic vibrations of systems governed by nonlinear partial differential equations
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Perturbation Expansions for some Nonlinear Wave Equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Bifurcation of periodic solutions for a semilinear wave equation