| 一类二阶非线性奇摄动边值问题解的渐近展开 |
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| 引用本文： | 刘其林.一类二阶非线性奇摄动边值问题解的渐近展开[J].高校应用数学学报(A辑),1993(3):231-238. |
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| 作者姓名： | 刘其林 |
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| 作者单位： | 江苏省南京市金陵职业大学 210001 |
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| 摘 要： | 本文研究一类非线性微分方程的非线性边值问题的奇摄动,应用边界层校正法构造出解的形式渐近展开式,并借助于上,下解及微分不等式理论研究解及其一阶导数的有关余项估计。
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| 关 键 词： | 奇摄动 非线性 边值问题 渐近展开 |
ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS FOR A CLASS OF SECOND ORDER NONLINEAR SINGULAR PERTURBATION PROBLEM |
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| Liu Qilin.ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS FOR A CLASS OF SECOND ORDER NONLINEAR SINGULAR PERTURBATION PROBLEM[J].Applied Mathematics A Journal of Chinese Universities,1993(3):231-238. |
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| Authors: | Liu Qilin |
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| Institution: | University of Jinling Occupation Technology |
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| Abstract: | In this paper, the singular perturbation of boundary value problems for a class of second order nonlinear ordinary differential equations is considered. The asymptotic expansions of the solutions are constructed by the method of boundary layer corrections. Moreover, the estimation of the remainder term and its first derivative are derived by means of the modified problem and the higher order differential inequality techniques. |
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| Keywords: | Singular Perturbation Nonlinear Boundary Value Problem Differential Inequality Asymptotic Expansion Estimation of Remainder Term |
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