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The asymptotic theory of semilinear perturbed telegraph equation and its application

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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(∣e∣−1. As an application of the asymptotic theory, the initial value problems for a special telegraph equation are studied and two asymptotic solutions of order O(∣e∣−1 are presented.

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Authors and Affiliations

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

    Lai Shaoyong

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  1. Lai Shaoyong
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Communicated by Ding Xieping

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Shaoyong, L. The asymptotic theory of semilinear perturbed telegraph equation and its application. Appl Math Mech 18, 657–662 (1997). https://doi.org/10.1007/BF00127013

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  • DOI: https://doi.org/10.1007/BF00127013

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