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| Banach空间中的一类二阶n点边值问题 | |
| 引用本文： | 李培峦,张翠,吴玉森. Banach空间中的一类二阶n点边值问题[J]. 河南科技大学学报(自然科学版), 2009, 30(4): 90-92,100 |
| 作者姓名： | 李培峦 张翠 吴玉森 |
| 作者单位： | 1. 河南科技大学,理学院,河南,洛阳471003;中南大学,数学学院,湖南,长沙,410075 2. 洛阳师范学院,数学科学学院,河南,洛阳,471022 3. 中南大学,数学学院,湖南,长沙,410075 |
| 基金项目： | 国家自然科学基金项目(10871206) |
| 摘 要： | 利用Sadovskii不动点定理，讨论了Banach空间中的二阶常微分方程的一类n点边值问题，得到了至少一个解的存在性件。作为应用，给出了一个无限维空间中的例子。 |
| 关 键 词： | 边值问题 不动点定理 Banach空间 解的存在性 |
n-point Boundary Value Problems for Second-Order Ordinary Differential Equations in Banach Spaces |
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| LI Pei-Luan,,ZHANG Cui,WU Yu-Sen. n-point Boundary Value Problems for Second-Order Ordinary Differential Equations in Banach Spaces[J]. Journal of Henan University of Science & Technology:Natural Science, 2009, 30(4): 90-92,100 | |
| Authors: | LI Pei-Luan ZHANG Cui WU Yu-Sen |
| Affiliation: | 1.Science College;Henan University of Science & Technology;Luoyang 471003;China;2.Department of Mathematics;Central South University;Changsha 410075;3.Department of Mathematics;Luoyang Normal University;Luoyang 471022;China |
| Abstract: | The boundary value problems(BVPs)have become a focus.But in Banach spaces,as far as the-point BVPS are concerned,there are few results.By using the Sadovskii fixed point theorem,the second-order n-point BVP in a Banach space is studied,the existence of at least one solution is obtained.As an application,an example in an infinite dimensional space is also given to demonstrate the results. |
| Keywords: | Boundary value problem Fixed point theorem Banach spaces Existence of solution |
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