| 四阶微分方程三点边值问题的奇摄动 |
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| 引用本文： | 王秀群,倪守平. 四阶微分方程三点边值问题的奇摄动[J]. 数学物理学报(A辑), 2002, 22(1): 41-47 |
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| 作者姓名： | 王秀群 倪守平 |
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| 作者单位： | 福建师范大学数学系 福州350007(王秀群)，福建师范大学数学系 福州350007(倪守平) |
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| 摘 要： | 该文用Ｓｈａｕｄｅｒ不动点定理及微分不等式理论研究了一类非线性四阶常微分方程三点边值问题的存在性，并利用边界层校正法获得解及其二阶导数的高阶渐进展开式．
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| 关 键 词： | 奇摄动；边界层校正；边值问题 |
| 文章编号： | 1003-3998(2002)01-041-07 |
| 修稿时间： | 1999-12-29 |
Singular Perterbation of Three-Pointed Value Problems for Fourth Order Nonlinear Differential Equations |
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| WANG Xiu-Qun,NI Shou-Ping. Singular Perterbation of Three-Pointed Value Problems for Fourth Order Nonlinear Differential Equations[J]. Acta Mathematica Scientia, 2002, 22(1): 41-47 |
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| Authors: | WANG Xiu-Qun NI Shou-Ping |
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| Abstract: | The existing of the solution of the three-point b oundary problem about a kind of four-order nonlinear ordinary differential equa tion have been discussed,by using Shauder non-moved theom and differential ineq ualities theory.And gets the higher-order asymptotic estimation of solution and its one-order and two-order diverative function,in applying boundary correcti ng mether. |
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| Keywords: | Singular perturbation Bountdary correcting methe r Boundary value problem. |
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