| 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 |
| DOI： |
| 分类号:O175.15 |
| 基金项目:陇东学院青年科技创新项目(XYZK1109). |
|
| EXISTENCE OF POSITIVE SOLUTIONS OF HIGHER-ORDER PERIODIC BOUNDARY VALUE PROBLEMS IN BANACH SPACES |
|
LI Xiao-long
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College of Mathematics and Statistics, Longdong University, Qingyang 745000, China
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| 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. |
| Key words: periodic boundary value problem closed convex cone positive solution condensing mapping fixed point index |
