| 一类四阶两点边值问题解的存在唯一性 |
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| 引用本文： | 陆静. 一类四阶两点边值问题解的存在唯一性[J]. 许昌师专学报, 2012, 0(2): 25-28 |
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| 作者姓名： | 陆静 |
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| 作者单位： | 太原理工大学阳泉学院基础部,山西阳泉045000 |
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| 摘 要： | 运用锥的性质和u0-凹算子的不动点理论讨论一类四阶两点边值问题,得到了此类问题解的存在唯一性,给出了该类问题正解存在唯一性的充分条件,改进了文献中的相关结论,同时还给出了一个例子作为应用.
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| 关 键 词： | 常微分方程 边值问题 u0-凹算子 不动点理论 |
The Existence of Unique Solution for a Class of Fourth-order Two-point Boundary Value Problems |
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| LU Jing. The Existence of Unique Solution for a Class of Fourth-order Two-point Boundary Value Problems[J]. Journal of Xuchang Teachers College(Social Science Edition), 2012, 0(2): 25-28 |
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| Authors: | LU Jing |
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| Affiliation: | LU Jing ( Department of Basic Courses, Yangquan Institute of Taiyuan University of Technology, Yangquan 045000, China) |
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| Abstract: | A class of fourth-order two-point boundary value problems is discussed and the existence of a u- nique solution for this kind of equations is obtained by using the property of cone and a fixed point theorem of uo- concave operator. The conclusion in related literature is also improved, and an example is given to demonstrate the result as well. |
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| Keywords: | differential equations boundary value problems Uo-Concave operator fixed point theorem |
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