| Banach空间高阶周期边值问题正解的存在性 |
| |
| 引用本文： | 李小龙. Banach空间高阶周期边值问题正解的存在性[J]. 数学杂志, 2014, 34(5): 909-915 |
| |
| 作者姓名： | 李小龙 |
| |
| 作者单位： | 陇东学院数学与统计学院; |
| |
| 基金项目： | 陇东学院青年科技创新项目(XYZK1109) |
| |
| 摘 要： | 本文研究了Banach空间E中的高阶周期边值问题正解的存在性.利用非紧性测度的估计技巧与凝聚映射的不动点指数理论,获得了该问题正解的存在性结果,推广了某些已有的相应结果.
|
| 关 键 词： | 周期边值问题 闭凸锥 正解 凝聚映射 不动点指数 |
| 收稿时间： | 2012-06-29 |
| 修稿时间： | 2012-12-21 |
EXISTENCE OF POSITIVE SOLUTIONS OF HIGHER-ORDER PERIODIC BOUNDARY VALUE PROBLEMS IN BANACH SPACES |
| |
| LI Xiao-long. EXISTENCE OF POSITIVE SOLUTIONS OF HIGHER-ORDER PERIODIC BOUNDARY VALUE PROBLEMS IN BANACH SPACES[J]. Journal of Mathematics, 2014, 34(5): 909-915 |
| |
| Authors: | LI Xiao-long |
| |
| Affiliation: | College of Mathematics and Statistics, Longdong University, Qingyang 745000, China |
| |
| Abstract: | An result on the existence of positive solutions for higher-order periodic boundary value problem was obtained by employing a new estimate of noncompactness measure and the fixed point index theory of condensing mapping. The conclusions of this paper extend corresponding results. |
| |
| Keywords: | periodic boundary value problem closed convex cone positive solution condensing mapping fixed point index |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
|
点击此处可从《数学杂志》下载全文 |
