| 二阶拟线性微分差分方程边值问题的奇摄动解 |
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| 引用本文： | 徐钧涛.二阶拟线性微分差分方程边值问题的奇摄动解[J].上海师范大学学报(自然科学版),1988(3). |
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| 作者姓名： | 徐钧涛 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 本文利用逐步求解和构造边界层校正项的方法,构造了二阶拟线性微分差分方程边值问题的奇摄动解,得到了形式渐近解。估计了余项,从而证明了一致有效渐近解的存在性。
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| 关 键 词： | 边界层项 拟线性微分差分方程 渐近解 余项估计 解的存在性 |
SINGULAR PERTURBATION SOLUTION OF BOUNDARY-VALUE PROBLEM FOR A SECOND-ORDER QUASILINEAR DIFFERENTIAL-DIFFERENCE EQUATION |
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| XU JUNTAO.SINGULAR PERTURBATION SOLUTION OF BOUNDARY-VALUE PROBLEM FOR A SECOND-ORDER QUASILINEAR DIFFERENTIAL-DIFFERENCE EQUATION[J].Journal of Shanghai Normal University(Natural Sciences),1988(3). |
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| Authors: | XU JUNTAO |
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| Institution: | Department of mathematics |
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| Abstract: | In this paper, a study is made to construct singular perturbation solution of boundary-value problem for a second-orde quasilinear differential-difference equation. The formall asymptotic solution is obtained by the step-by-step method and constructing the boundary layer terms. The error is estimated thus the existence of the uniformly valid asymptotic solution is proved. |
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| Keywords: | boundary layer terms quasilinear differential-difference equation asymptotic solution estimate error the existence of the solution |
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