The asymptotic theory of semilinear perturbed telegraph equation and its application

DOI10.1007/BF00127013zbMath0903.35041MaRDI QIDQ1387590

Shaoyong Lai

Publication date: 12 January 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

long timescale

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

The asymptotic theory of initial value problems for semilinear wave equations in three space dimensions ⋮ The asymptotic theory of initial value problems for semilinear perturbed wave equations in two space dimensions ⋮ Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems ⋮ The asymptotic theory of global solutions for semilinear wave equations in three space dimensions

Cites Work

• Analytical instability of the Klein-Gordon equation
• Asymptotic behavior of solutions of initial problem to systems of gas dynamics with viscous term
• On Initial Boundary Value Problems for Weakly Semilinear Telegraph Equations. Asymptotic Theory and Application
• THE AVERAGING METHOD FOR WEAKLY NONLINEAR OPERATOR EQUATIONS
• Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity
• Validity of approximations for time periodic solutions of a forced non–linear hyperbolic differential equation
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