ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS

DOI10.1017/S0004972709000926zbMath1186.35008MaRDI QIDQ3552485

Jinhai Chen, Donal O'Regan

Publication date: 22 April 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

wave equationgeneralized solutionunique existenceglobal inverse function theoremperiodic-Dirichlet problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Second-order semilinear hyperbolic equations (35L71)

Related Items

Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Estimating invertible domains of diffeomorphisms

Cites Work

• Unnamed Item
• Asymptotic nonuniform nonresonance conditions in the periodic-Dirichlet problem for semi-linear wave equations
• On the existence of periodic solutions of periodically perturbed conservative systems
• Conservative systems of semi-linear wave equations with periodic Dirichlet boundary conditions
• Global inversion theorems and applications to differential equations
• Solutions of nonlinear elliptic systems with meshed spectra
• Existence and uniqueness for a variational hyperbolic system without resonance
• Homeomorphisms Between Banach Spaces
• On the periodic solution to the Newtonian equation of motion
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations

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