Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients
From MaRDI portal
Publication:5109178
DOI10.1051/cocv/2019007zbMath1439.35341arXiv1805.01670OpenAlexW2963326297MaRDI QIDQ5109178
Publication date: 11 May 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.01670
Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Strings (74K05) Second-order semilinear hyperbolic equations (35L71)
Related Items (5)
Periodic solutions of two-dimensional wave equations with x-dependent coefficients and Sturm–Liouville boundary conditions ⋮ 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 ⋮ Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients ⋮ Multiple periodic solutions for an asymptotically linear wave equation with x-dependent coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and multiplicity of periodic solutions for Dirichlet-Neumann boundary value problem of a variable coefficient wave equation
- Periodic solutions of a nonlinear wave equation with nonconstant coefficients.
- Saddle points and multiple solutions of differential equations
- Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients
- Time-periodic solutions to the one-dimensional nonlinear wave equation
- Periodic solutions to one-dimensional wave equation with \(x\)-dependent coefficients
- Periodic solutions to nonlinear wave equations with spatially dependent coefficients
- Time periodic solutions to a nonlinear wave equation with \(x\)-dependent coefficients
- Resonance in nonlinear wave equations with \(x\)-dependent coefficients
- Periodic solutions of symmetric wave equations
- Periodic solutions for one dimensional wave equation with bounded nonlinearity
- Periodic solutions of the quasilinear equation of forced vibrations of an inhomogeneous string
- Existence of multiple periodic solutions to asymptotically linear wave equations in a ball
- Infinitely many periodic solutions for a semilinear wave equation in a ball in \(\mathbb R^n\)
- Existence of multiple weak solutions for asymptotically linear wave equations
- Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance
- Infinitely Many Periodic Solutions for the Equation: u tt - u xx ± | u | p-1 u = f(x, t). II
- Time-periodic solutions to a nonlinear wave equation with periodic or anti-periodic boundary conditions
- Periodic solutions of nonlinear vibrating strings and duality principles
- Large amplitude time periodic solutions of a semilinear wave equation
- Infinitely many periodic solutions for the equation
- Solutions of asymptotically linear operator equations via morse theory
- Homeomorphisms Between Banach Spaces
- Periodic solutions of hamiltonian systems
- Forced vibrations for a nonlinear wave equation
- Newton's method and periodic solutions of nonlinear wave equations
- Periodic solutions to nonlinear one dimensional wave equation with 𝑋-dependent coefficients
- Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem
- Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems
- Time-periodic solutions to the one-dimensional wave equation with periodic or anti-periodic boundary conditions
- Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
This page was built for publication: Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients
