半线性摄动电报方程的渐近理论及应用

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The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application

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

摘要: 对二阶半线性摄动电报方程的初值问题.本交给出了一个渐近方法.证明了渐近理论及形式近似解的合理性都在时间变量无穷大时(即0≤t≤O(|ε|^-1)成立.作为浙近理论的应用,我们对一个带初问题的特殊电报方程进行了研究,得到了两个|ε|^-1阶渐近近似解.
- 电报方程 /
- 渐近近似解 /
- 无穷大时间 /
- 应用
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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