| Banach空间高阶周期边值问题解的存在性 |
| |
| 引用本文： | 张环环. Banach空间高阶周期边值问题解的存在性[J]. 石河子大学学报(自然科学版), 2006, 24(5): 644-646 |
| |
| 作者姓名： | 张环环 |
| |
| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州,730070 |
| |
| 摘 要： | 讨论了一般Banach空间高阶周期边值问题解的存在性，利用非紧性测度与凝聚映射的Sadovskii不动点定理，获得了其解的存在性与唯一性结果。
|
| 关 键 词： | 非紧性测度 凝聚映射 Sadovskii不动点定理 周期边值问题 |
| 文章编号： | 1007-7383(2006)05-0644-03 |
| 收稿时间： | 2006-07-06 |
| 修稿时间： | 2006-07-06 |
Existence of Solutions for Higher-order Periodic Boundary Value Problems in Banach Spaces |
| |
| ZHANG Huan-huan. Existence of Solutions for Higher-order Periodic Boundary Value Problems in Banach Spaces[J]. Journal of Shihezi University(Natural Science), 2006, 24(5): 644-646 |
| |
| Authors: | ZHANG Huan-huan |
| |
| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu 730070, China |
| |
| Abstract: | The paper discusses the existence of solutions for higher order periodic boundary value problems in general Banach spaces. The theory of noncompactness measure and Sadovskii fixed point theorem of condensing map are applied to these problems, and some existence and uniqueness results are obtained. |
| |
| Keywords: | noncompactness measure condensing map Sadovskii fixed point theorem periodic boundary value problems |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
