Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions

DOI10.3103/S1066369X07020065zbMath1144.35447MaRDI QIDQ2479654

Igor' Alekseevich Rudakov

Publication date: 1 April 2008

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

semilinear equationnonresonance condition

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) Resonance in context of PDEs (35B34)

Related Items (4)

Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ Boundary-value problem with mixed conditions for typeless linear partial differential equations ⋮ Dirichlet–Neumann Problem for Systems of Hyperbolic Equations with Constant Coefficients ⋮ Periodic solutions of a quasilinear wave equation

Cites Work

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• Periodic solutions of a nonlinear wave equation with nonconstant coefficients.
• Nonlinear vibrations of a string
• Periodic solutions of hamiltonian systems
• Forced vibrations for a nonlinear wave equation
• Periodic solutions to nonlinear one dimensional wave equation with 𝑋-dependent coefficients
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

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