| SINGULAR PERTURBATION OF THREE-POINT BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATIONS |
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| 引用本文： | Xu Guoan Yu Zhangping Zhou Zheyan (School of Math,and Computer Science,Fujian Normal University,Fuzhou 350007). SINGULAR PERTURBATION OF THREE-POINT BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 2005, 21(3): 480-485 |
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| 作者姓名： | Xu Guoan Yu Zhangping Zhou Zheyan (School of Math and Computer Science Fujian Normal University Fuzhou 350007) |
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| 作者单位： | School of Math，and Computer Science，Fujian Normal University，Fuzhou 350007 |
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| 基金项目： | Project supported by the science and technology department foundation of Fujian province (03WA395). |
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| 摘 要： | In this paper, by the theory of differential inequalities, we study the existence and uniqueness of the solution to the three-point boundary value problem for third order differential equations. Furthermore we study the singular perturbation of three-point boundary value problem to third order quasilinear differential equations, construct the higher order asymptotic solution and get the error estimate of asymptotic solution and perturbed solution.
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| 关 键 词： | 边值问题 微分不等式 三阶微分方程 单值扰动 |
SINGULAR PERTURBATION OF THREE-POINT BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATIONS |
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| Xu Guoan Yu Zhangping Zhou Zheyan. SINGULAR PERTURBATION OF THREE-POINT BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(3): 480-485 |
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| Authors: | Xu Guoan Yu Zhangping Zhou Zheyan |
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| Affiliation: | School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007 |
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| Abstract: | In this paper, by the theory of differential inequalities, we study the existence and uniqueness of the solution to the three-point boundary value problem for third order differential equations. Furthermore we study the singular perturbation of three-point boundary value problem to third order quasilinear differential equations, construct the higher order asymptotic solution and get the error estimate of asymptotic solution and perturbed solution. |
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| Keywords: | three-point boundary value problem differential inequality singular perturbation uniqueness of solution |
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