| 四阶微分方程两点边值问题的三解 |
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| 引用本文： | 薛春艳,高晶.四阶微分方程两点边值问题的三解[J].沈阳师范大学学报(自然科学版),2007,25(1):21-24. |
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| 作者姓名： | 薛春艳 高晶 |
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| 作者单位： | 1. 北京信息科学与技术大学数学系,北京,100101
2. 沈阳师范大学数学与系统科学学院,辽宁沈阳,110034 |
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| 摘 要： | 研究四阶微分方程两点边值问题,以B.Ricceri的3个临界点定理为工具,获得了四阶微分方程两点边值问题至少存在三个解的充分条件及推论,并对主要结果进行了证明.
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| 关 键 词： | 边值问题 临界点定理 三解 |
| 文章编号： | 1673-5862(2007)01-0021-04 |
| 修稿时间： | 2006-05-09 |
Three Solutions of Four Order Differential Equations for Two Point Boundary Value Problem |
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| XUE Chun-yan,GAO Jing.Three Solutions of Four Order Differential Equations for Two Point Boundary Value Problem[J].Journal of Shenyang Normal University: Nat Sci Ed,2007,25(1):21-24. |
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| Authors: | XUE Chun-yan GAO Jing |
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| Institution: | 1. Department of Mathematics, Beijing Information Science and Technology University, Beijing 100101, China; 2. College of Mathematics and System Science, Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | This paper is concerned with the existence of at least three solutions for the four order differential equation two point boundary value problem.Our main tool is the three critical points theorem of B.Ricceri.We proved the existence of at least three solutions and our main results. |
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| Keywords: | boundary value problem critical point theorem three solutions |
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