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| Banach空间中n阶m点边值问题的正解 | |
| 引用本文： | 蔡静静,刘立山,孙倩. Banach空间中n阶m点边值问题的正解[J]. 系统科学与数学, 2010, 30(4) |
| 作者姓名： | 蔡静静 刘立山 孙倩 |
| 作者单位： | 曲阜师范大学数学科学学院,曲阜,273165 |
| 基金项目： | 国家自然科学基金，曲阜师范大学博士科研启动经费 |
| 摘 要： | 通过构造一个特殊的锥,证明了Banach空间中一类n阶m点边值问题的正解的存在性,最后给出一个例子来说明主要结果. |
| 关 键 词： | n阶m点边值问题 正解 Banach空间 不动点定理 |
POSITIVE SOLUTIONS FOR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEM IN A BANACH SPACE |
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| CAI Jingjing,LIU Lishan,SUN Qian. POSITIVE SOLUTIONS FOR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEM IN A BANACH SPACE[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(4) | |
| Authors: | CAI Jingjing LIU Lishan SUN Qian |
| Affiliation: | CAI Jingjing LIU Lishan SUN Qian (School of Mathematical Sciences,Qufu Normal University,Qufu 273165) |
| Abstract: | By constructing a special cone and using the cone expasion and compression fixed point theorem of norm type,the existence of positive solutions is proved for a class of nth-order m-point boundary value problem in a Banach space.Finally,an example is given to demostrate the main results of this paper. |
| Keywords: | nth-order m-point boundary value problem positive solutions Banach space fixed point theorem |
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