The periodic solutions of a nonhomogeneous string with Dirichlet-Neumann condition

DOI10.1007/s11401-014-0843-yzbMath1302.35027OpenAlexW2067262312MaRDI QIDQ741484

Jing Zheng, Chang-qing Tong

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0843-y

zbMATH Keywords

weak solutioncontinued fractionLagrange constantmethod to avoid Nash-Moser iteration

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Strings (74K05) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients

Cites Work

• An abstract Nash-Moser theorem with parameters and applications to PDEs
• Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions
• Periodic solutions to one-dimensional wave equation with \(x\)-dependent coefficients
• The periodic-Dirichlet problem for some semilinear wave equations
• Periodic solutions of nonlinear wave equations with general nonlinearities
• Multiplicity of periodic solutions of nonlinear wave equations.
• Cantor families of periodic solutions for completely resonant nonlinear wave equations
• Diophantine approximation, Bessel functions and radially symmetric periodic solutions of semilinear wave equations in a ball
• Forced Vibrations of a Nonhomogeneous String
• Periodic solutions of nonlinear vibrating strings and duality principles
• Periodic solutions to nonlinear one dimensional wave equation with 𝑋-dependent coefficients
• Time-periodic solutions to the one-dimensional wave equation with periodic or anti-periodic boundary conditions

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