Doubly-Periodic Solutions of a Forced Semilinear Wave Equation

DOI10.2307/2046397zbMath0651.35057OpenAlexW4243818580MaRDI QIDQ3796089

Rafael Ortega, Pedro Martinez-Amores, Margarita Arias

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046397

zbMATH Keywords

existencesemilinear wave equations\(L^{\infty}\)-boundsdoubly-periodic solutionsone-sided boundedness condition

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Second-order hyperbolic equations (35L10)

Related Items (2)

Critical growth for a superlinear elliptic problem in two dimensions ⋮ Periodic solutions for one dimensional wave equation with bounded nonlinearity

Cites Work

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• Periodic solutions of pendulum-type equations
• Periodic solutions of nonlinear vibrating strings and duality principles
• Periodic solutions of a nonlinear wave equation
• Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
• Forced vibrations for a nonlinear wave equation
• A Wave Equation with a Possibly Jumping Nonlinearity
• A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions

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