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| 非线性四阶常微分方程两点边值问题解的存在性及唯一性 | |
| 引用本文： | 高永馨. 非线性四阶常微分方程两点边值问题解的存在性及唯一性[J]. 东北师大学报(自然科学版), 1996, 0(1): 5-9 |
| 作者姓名： | 高永馨 |
| 作者单位： | 东北电力学院基础部 |
| 摘 要： | 运用上下解方法，讨论了边值问题，ｙ（ａ）＝ａ０，解的存在性以及边值问题，ｙ（ａ）＝ａ０，解的存在性及唯一性．其中函数ｆ，ｇ和ｈ是连续函数．假设方程的初值问题的解可延至［ａ，ｂ］或在［ａ，ｂ］上无界． |
| 关 键 词： | 非线性 两点边值问题 常微分方程 解 存在性 |
Existence and Uniqueness of Solutions of Nonlinear Two Point Boundary Value Problems for Fourth Order Nonlinear Differential Equation |
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| Gao Yongxin. Existence and Uniqueness of Solutions of Nonlinear Two Point Boundary Value Problems for Fourth Order Nonlinear Differential Equation[J]. Journal of Northeast Normal University (Natural Science Edition), 1996, 0(1): 5-9 | |
| Authors: | Gao Yongxin |
| Abstract: | It is studied that the existence of solutions of the boundary value problem:and the existence and uniqueness of solutions of the boundary valueproblem,using the method of upper and lower solutions and under the assumptions that all of the functions f,g,and h are continuous and solutions of initial valueproblems of(1)can extend to[a,b]or become unbounded. |
| Keywords: | nonlinear differential equation nonlinear boundary conditions two point boundary value problem |
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