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n阶微分方程三点边值问题
引用本文:刘颖. n阶微分方程三点边值问题[J]. 应用数学与计算数学学报, 2001, 15(1): 29-36
作者姓名:刘颖
作者单位:沈阳航空学院基础部,沈阳,110034
摘    要:用上、下解方法讨论了非线性n阶常微分方程满足三点全非线性边界条件的边值问题解的存在性和唯一性。

关 键 词:边值问题 上解 下解 存在性 n阶微分方程 非线性 唯一性
修稿时间:2000-10-16

Three Point Boundary Value Problems for nth-order Nonlinear Differential Equations
YING LIU Shenyang Institute of Aeronautical Engineering,Shenyang. Three Point Boundary Value Problems for nth-order Nonlinear Differential Equations[J]. Communication on Applied Mathematics and Computation, 2001, 15(1): 29-36
Authors:YING LIU Shenyang Institute of Aeronautical Engineering  Shenyang
Affiliation:YING LIU Shenyang Institute of Aeronautical Engineering,Shenyang,110034
Abstract:In this paper, the author prove the Existence and Uniqueness of Solutions for Three pointboundary value problems for nth-order Nonlinear Differential Equaitons by utilizing the method ofUpper and lower Solutions.
Keywords:boundary value problem   upper and lower solutions   nonlinear boundary condi-tions   existence and uniqueness.
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