| 一类三阶三点边值问题的可解性 |
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| 引用本文： | 杜金姬.一类三阶三点边值问题的可解性[J].数学理论与应用,2009(3):24-27. |
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| 作者姓名： | 杜金姬 |
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| 作者单位： | 中南大学数学科技与计算技术学院,长沙410075 |
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| 摘 要： | 通过构造适当的Banach空间讨论了一类非线性项含一阶和二阶导数的三阶三点边值问题的可解性。利用Leary-Schauder不动点定理，证明了只要非线性项在其定义域的某个有界子集上的“高度”是适当的，则类该问题可以有一个解或者正解。
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| 关 键 词： | 非线性三阶常微分方程 三点边值问题 解和正解 存在性 |
Solvability of a Class of Third- order Three - point Boundary Value Problems |
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| Du Jinji.Solvability of a Class of Third- order Three - point Boundary Value Problems[J].Mathematical Theory and Applications,2009(3):24-27. |
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| Authors: | Du Jinji |
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| Institution: | Du Jinji ( Department of Mathematic.s, Central South University, Changsha, 410075 ) |
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| Abstract: | By constructing suitable Banach space, the solvability is considered for a class of third - order three - point boundary value problems. The key tool is Leafy - Schauder fixed point theorem. The main results show that the problems may have a solution or a positive solution provided the “height” of nonlinear term is appropriate on a bounded set. |
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