| 非线性奇摄动抛物型方程初值问题的套层解 |
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| 引用本文： | 程燕.非线性奇摄动抛物型方程初值问题的套层解[J].数学研究,2004,37(1):17-20. |
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| 作者姓名： | 程燕 |
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| 作者单位： | 中国人民解放军炮兵学院基础部,安徽,合肥,230031 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8) |
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| 摘 要： | 运用了初始层函数构造了一类非线性奇摄动抛物型方程初值问题解的渐近展开式,并证明了该展开式达到任意精度的一致有效性.
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| 关 键 词： | 渐近性 套层解 初始层函数 抛物型方程 比较定理 |
Jacketed Solution of Initial Value Problems for the Nonlinear Singularly Hyperbolic Equations |
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| Abstract.Jacketed Solution of Initial Value Problems for the Nonlinear Singularly Hyperbolic Equations[J].Journal of Mathematical Study,2004,37(1):17-20. |
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| Authors: | Abstract |
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| Abstract: | In this paper, the asymptotic expansion of the solution of initial value problem for a class of nonlinear singularly perturbed hyperbolic equations which have double initial layer properties is constructed. The uniform valid of the constructed asymptotic expansion of the solution of is proved. |
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| Keywords: | asymptotic expansion jacketed solution hyperbolic equation singular perturbation |
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