| 一类泛函常微分方程边值问题解的存在性 |
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| 引用本文： | 沈文国. 一类泛函常微分方程边值问题解的存在性[J]. 兰州工业高等专科学校学报, 2006, 13(1): 38-41 |
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| 作者姓名： | 沈文国 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070;兰州工业高等专科学校,基础学科部,甘肃,兰州,730050 |
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| 摘 要： | 为了讨论一类泛函常微分方程边值问题解的存在性问题,运用leray-Schauder不动点原理,在非线性增长的条件下,解决了这类泛函常微分方程边值问题解的存在性,并获得了该类泛函常微分方程边值问题解的存在性定理.
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| 关 键 词： | 边值问题 Leray-Schauder原理 存在性定理 |
| 文章编号： | 1009-2269(2006)01-0038-04 |
| 收稿时间： | 2005-10-19 |
| 修稿时间： | 2005-10-19 |
The Existence of Solutions to a Functional Boundary Value Problem for Ordinary Differential Equation |
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| SHEN Wen-guo. The Existence of Solutions to a Functional Boundary Value Problem for Ordinary Differential Equation[J]. Journal of Lanzhou Higher Polytechnical College, 2006, 13(1): 38-41 |
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| Authors: | SHEN Wen-guo |
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| Affiliation: | 1. The College d Mathematics and Informtion of ,Science Northwest Normal University, Lanzhou 730070, China; 2.The Basic Courses Department of Polytechnic College, Lanzhou 730050, China |
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| Abstract: | In order to discuss the existence of solutions to a functional boundary value problem for ordinary differential equation,the author proceeds the research to solve this type of problem under nonlinear growth condition by using Lerary-Schauder's fixed point principle. |
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| Keywords: | boundary value problem Leray-Schauder theorem existence law |
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