Bifurcation and multiplicity results for periodic solutions of a damped wave equation in a thin domain

DOI10.1016/S0377-0427(99)00248-4zbMath0956.35015OpenAlexW2068526439MaRDI QIDQ1963884

Mikhail Kamenskii, Paolo Nistri, Russell A. Johnson

Publication date: 7 March 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00248-4

zbMATH Keywords

Neumann boundary conditionPoincaré mapmeasures of non-compactness

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) Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32)

Related Items (3)

Local unstable manifolds of periodic orbits in thin domains ⋮ Effect of resonance on the existence of periodic solutions for strongly damped wave equation ⋮ A modified Poincaré method for the persistence of periodic orbits and applications

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• \(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems
• Existence of periodic solutions of an autonomous damped wave equation in thin domains
• On periodic solutions of a damped wave equation in a thin domain using degree theoretic methods
• A Damped Hyperbolic Equation on Thin Domains
• Unnamed Item
• Unnamed Item

This page was built for publication: Bifurcation and multiplicity results for periodic solutions of a damped wave equation in a thin domain