Conservative systems of semi-linear wave equations with periodic Dirichlet boundary conditions

DOI10.1016/0022-0396(81)90036-XzbMath0475.35063MaRDI QIDQ1159824

Jean Mawhin

Publication date: 1981

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

zbMATH Keywords

periodic solutionssystem of semilinear wave equationsself-adjoint realizationperiodic Dirichlet conditions

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)

Related Items (10)

A mini max theorem and applications to nonresonance problems for semilinear equations ⋮ Nonlinear equations at resonance and generalized eigenvalue problems ⋮ Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ On nonresonance for systems of semilinear wave equations ⋮ ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS ⋮ The periodic boundary value problem for semilinear elastic beam equations: the resonance case ⋮ Iterative and variational methods for the solvability of some semilinear equations in Hilbert spaces ⋮ Periodic solutions of telegraph-wave coupled system at nonresonance ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ On the bifurcation of large amplitude solutions for a system of wave and beam equations

Cites Work

• An existence theorem for periodically perturbed conservative systems
• On periodically perturbed conservative systems
• Periodically perturbed conservative systems and a global inverse function theorem
• The existence of periodic solutions for nonlinearly perturbed conservative systems
• Solutions of nonlinear elliptic systems with meshed spectra
• Existence and uniqueness for a variational hyperbolic system without resonance
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
• Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Conservative systems of semi-linear wave equations with periodic Dirichlet boundary conditions