Existence of periodic solutions of an autonomous damped wave equation in thin domains

DOI10.1023/A:1022601213052zbMath0910.35009OpenAlexW197621704MaRDI QIDQ1271032

Paolo Nistri, Russell A. Johnson, Mikhail Kamenskii

Publication date: 3 November 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022601213052

zbMATH Keywords

topological degree theoryfunctionalization of parameter

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Degree theory for nonlinear operators (47H11)

Related Items (15)

Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains ⋮ Limiting dynamics of stochastic heat equations with memory on thin domains ⋮ Limiting dynamics for stochastic delay \(p\)-Laplacian equation on unbounded thin domains ⋮ Bi-spatial pullback attractors of non-autonomous \(p\)-Laplacian equations on unbounded thin domains ⋮ Bifurcation and multiplicity results for periodic solutions of a damped wave equation in a thin domain ⋮ Local unstable manifolds of periodic orbits in thin domains ⋮ Effect of resonance on the existence of periodic solutions for strongly damped wave equation ⋮ Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains ⋮ Limiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains ⋮ A modified Poincaré method for the persistence of periodic orbits and applications ⋮ A bifurcation problem for a class of periodically perturbed autonomous parabolic equations ⋮ Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains ⋮ Strong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noise

This page was built for publication: Existence of periodic solutions of an autonomous damped wave equation in thin domains