| 半线性摄动电报方程的渐近理论及应用 |
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| 引用本文： | 赖绍永.半线性摄动电报方程的渐近理论及应用[J].应用数学和力学,1997,18(7):611-616. |
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| 作者姓名： | 赖绍永 |
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| 作者单位： | 四川师范大学数学系, 成都 610068 |
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| 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.
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| 关 键 词： | 电报方程 渐近近似解 无穷大时间 应用 |
| 收稿时间： | 1997-01-20 |
The Asymptoic Theory of Semilinear Perturbed Telegraph Equation and Its Application |
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| 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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| Authors: | Lai Shaoyong |
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| Institution: | Department of Mathematics, Sichuan Normal Universily, Chengdu 610068, P. R. China |
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| Abstract: | This paper is devoted to studying the asymptotie theory of initial value problems for a semilinear perturbed telegraph equation. The asymptottie theory and validity of formal approximations are constructed on long timescale O(-1). As an application of the asymptotic theory, the initial value problems for a special telegraph equation arc studied and two asymptotic solutions of order O(-l) are presented. |
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| Keywords: | telegraph equation asymptotie theory long timescale application |
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