| 四阶微分方程非线性两点边值问题解的存在性 |
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| 引用本文： | 王广瓦,孙莉.四阶微分方程非线性两点边值问题解的存在性[J].徐州师范大学学报(自然科学版),2001,19(2):1-5. |
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| 作者姓名： | 王广瓦 孙莉 |
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| 作者单位： | 徐州师范大学数学系, |
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| 摘 要： | 运用微分不等式理论，结合上下解方法，借助变形函数，得到了四阶微分方程具有一般非线性边界条件的两点边值问题的解的存在性定理。
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| 关 键 词： | 四阶非线性微分方程 非线性两点边值问题 上下解 Nagumo条件 变形函数 微分不等式理论 解 |
| 文章编号： | 1007-6573(2001)02-0001-05 |
| 修稿时间： | 2001年2月13日 |
Existence of Solutions of Nonlinear Two-point Boundary Value Problems for Fourth-order Differential Equations |
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| WANG Guang-wa,SUN Li.Existence of Solutions of Nonlinear Two-point Boundary Value Problems for Fourth-order Differential Equations[J].Journal of Xuzhou Normal University(Natural Science Edition),2001,19(2):1-5. |
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| Authors: | WANG Guang-wa SUN Li |
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| Abstract: | Using the theory of differential inequalities, the method of upper and lower solutions and appropriate modified functions, this paper presents the existence theorems of solutions of general nonlinear two point BVP for fourth order nonlinear differential equations. |
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| Keywords: | fourth-order nonlinear differential equation nonlinear two-point boundary value problem upper and lower solution Nagumo condition modified function |
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