| 二阶常微分方程三点边值问题的可解性 |
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| 引用本文： | 崔玉军,孙经先. 二阶常微分方程三点边值问题的可解性[J]. 山东大学学报(理学版), 2005, 40(6): 67-70 |
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| 作者姓名： | 崔玉军 孙经先 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东科技大学,应用数学系,山东,青岛,266510;徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目（10371066）： |
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| 摘 要： | 运用Leray-Schauder原理，获得了一类二阶非线性常微分方程三点边值问题解的存在性。
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| 关 键 词： | 三点边值问题 全连续算子 Leray-Schuder原理 |
| 文章编号： | 1671-9352（2005）06-0067-04 |
| 收稿时间： | 2004-12-29 |
| 修稿时间： | 2004-12-29 |
Solvability of three-point boundary value problems for a second order ordinary differential equation |
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| CUI Yu-jun,SUN Jing-xian. Solvability of three-point boundary value problems for a second order ordinary differential equation[J]. Journal of Shandong University, 2005, 40(6): 67-70 |
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| Authors: | CUI Yu-jun SUN Jing-xian |
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| Affiliation: | 1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China; 2. Dept. of App. Math., Shandong Univ. Sci. Tech., Qingdao 266510, Shandong, China; 3. Dept. of Math., Xuzhou Normal University, Xuzhou 221116, Jiangsu, China |
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| Abstract: | By using the Leray-Schauder theorem, the existence of solutions for three-point boundary value problems of a class of second order ordinary differential equation is obtained. |
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| Keywords: | three-point boundary value problem completely continuous operator l_eray-Schauder theorem |
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