Periodic solutions of symmetric wave equations

DOI10.1006/jdeq.1997.3380zbMath0909.35092OpenAlexW2049883445MaRDI QIDQ1265094

Michel Willem, Yanheng Ding, Shu-Jie Li

Publication date: 17 March 1999

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3380

zbMATH Keywords

nonautonomous probleminfinitely many (weak) solutions

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 (15)

Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance ⋮ Existence and multiplicity of periodic solutions for Dirichlet-Neumann boundary value problem of a variable coefficient wave equation ⋮ Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients ⋮ Existence of multiple periodic solutions to asymptotically linear wave equations in a ball ⋮ Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions ⋮ Existence of infinitely many small periodic solutions for a semilinear variable coefficients wave equation with resonant potential ⋮ Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients ⋮ Multiplicity results of periodic solutions for a coupled system of wave equations ⋮ Periodic solutions for one dimensional wave equation with bounded nonlinearity ⋮ Infinitely many periodic solutions for a semilinear wave equation in a ball in \(\mathbb R^n\) ⋮ Existence of multiple periodic solutions for a semilinear wave equation in an \(n\)-dimensional ball ⋮ Periodic solutions of a wave equation with concave and convex nonlinearities ⋮ Multiple periodic solutions for an asymptotically linear wave equation with x-dependent coefficients ⋮ Periodic solutions of semilinear higher dimensional wave equations

Cites Work

• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Periodic solutions for a class of nonautonomous wave equations
• Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems
• Dual variational methods in critical point theory and applications
• Infinitely Many Periodic Solutions for the Equation: u tt - u xx ± | u | p-1 u = f(x, t). II
• Periodic solutions of nonlinear vibrating strings and duality principles
• Large amplitude time periodic solutions of a semilinear wave equation
• Subharmonic oscillations of a semilinear wave equation
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems
• Periodic solutions of a superlinear wave equation
• Unnamed Item

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