| 四阶常微分方程两点边值问题解的存在性 |
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| 引用本文： | 高永馨.四阶常微分方程两点边值问题解的存在性[J].中国民航学院学报,2003,21(4):61-64. |
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| 作者姓名： | 高永馨 |
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| 作者单位： | 中国民用航空学院理学院 天津300300 |
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| 摘 要： | 利用上下解的方法,讨论了非线性四阶常微分方程y(4)=f(t,y,y',y″,y)满足条件g0(y(a),y'(a))=0,g1(y'(a),y″(a))=0,g2(y″(a),y(a))=0h(y(c),y'(c),y″(c),y(c))=0的非线性两点边值问题解的存在性,其中函数f,gi和h是具有一定单调性质的连续函数。
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| 关 键 词： | 非线性四阶常微分方程 非线性两点边值问题 解的存在性 |
| 文章编号： | 1001-5000(2003)04-0061-04 |
| 修稿时间： | 2003年3月12日 |
Existence of Solutions of Nonlinear Two-Point Boundary Value Problems for Fourth-Order Nonlinear Differential Equation |
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| GAO Yong-xin.Existence of Solutions of Nonlinear Two-Point Boundary Value Problems for Fourth-Order Nonlinear Differential Equation[J].Journal of Civil Aviation University of China,2003,21(4):61-64. |
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| Authors: | GAO Yong-xin |
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| Abstract: | The methods of up-lower solution are used to study the existence of solutions of two point boundary value problems for nonlinear4th order differential equation with the boundary conditions where functions f,g,i and h have continuous functions with certain monotone con di tions. |
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| Keywords: | nonlinear fourth order differential equation nonlinear two point boundary value prob lems existence of solutions |
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