The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application

Lai Shaoyong

Volume 18 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 611-616

Lai Shaoyong. The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application[J]. Applied Mathematics and Mechanics, 1997, 18(7): 611-616.

Citation:

Lai Shaoyong. The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application[J]. Applied Mathematics and Mechanics, 1997, 18(7): 611-616.

Citation:

Lai Shaoyong. The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application[J]. Applied Mathematics and Mechanics, 1997, 18(7): 611-616.

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The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application

Lai Shaoyong

Department of Mathematics, Sichuan Normal Universily, Chengdu 610068, P. R. China

Received Date: 1997-01-20
Publish Date: 1997-07-15

Abstract

Abstract

This paper is devoted to studying the asymptotic theory of initial value problems for a semilinear perturbed telegraph equation. The asymptotic theory and validity of formal approximations are constructed on long timescale O(|ε|^-1). Asan application of the asymptotic theory, the initial value problenis for a special telegraph equation arestudied and two asymptotic solutions of order O(|ε|^-1) are presented.
- telegraph equation,
- asymptotic theory,
- long timescale,
- application

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References(6)

References

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[3]	O,M.Kiselev,Asymptotic solutions of the Cauchy problem of the perturbed Klein-Fock-Gordon equation,Zap,Nauchn,Sem,Leningrad Otdel.Mat.Inst.Stekolw,(LOMI) 16(1987); Mat,Vopr.Teor,R asprostranen 1(1987),115-121(in Russian).
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