Validity of approximations for time periodic solutions of a forced non–linear hyperbolic differential equation

DOI10.1080/00036819408840231zbMath0843.35057OpenAlexW2065526725WikidataQ58270667 ScholiaQ58270667MaRDI QIDQ4873622

C. J. Blom, Adriaan H. P. Van Der Burgh

Publication date: 24 April 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819408840231

zbMATH Keywords

formal perturbation methodMaple Computer Algebra program

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

Resonance and near-resonance for a nonlinear wave equation ⋮ The asymptotic theory of semilinear perturbed telegraph equation and its application ⋮ The asymptotic theory of initial value problems for semilinear perturbed wave equations in two space dimensions ⋮ The asymptotic theory of global solutions for semilinear wave equations in three space dimensions

Uses Software

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Cites Work

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• Periodic solutions of second-order wave equations. II
• Periodic solutions of second-order wave equations. I
• Periodic solutions of second-order wave equations. III
• Periodic solutions of a class of hyperbolic equations containing a small parameter
• Entrainment of frequency in evolution equations
• An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines
• A Perturbation Method for Hyperbolic Equations with Small Nonlinearities
• Perturbation Expansions for some Nonlinear Wave Equations

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