On periodic solutions of a damped wave equation in a thin domain using degree theoretic methods

DOI10.1006/jdeq.1997.3301zbMath0890.35078OpenAlexW1990308354MaRDI QIDQ1370993

Paolo Nistri, Mikhail Kamenskii, Russell A. Johnson

Publication date: 14 July 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3301

zbMATH Keywords

Neumann boundary condition

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 (7)

Quasi-periodic traveling waves for forced Kirchhoff equations with strong damping on flat tori ⋮ A biography of Russell A. Johnson ⋮ 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 ⋮ A bifurcation problem for a class of periodically perturbed autonomous parabolic equations ⋮ Existence of periodic solutions for nonlinear differential equations

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