| 非线性脉冲微分方程组边值问题正解的存在性 |
| |
| 引用本文： | 非线性脉冲微分方程组边值问题正解的存在性.非线性脉冲微分方程组边值问题正解的存在性[J].山东科学,2021,34(2):114-122. |
| |
| 作者姓名： | 非线性脉冲微分方程组边值问题正解的存在性 |
| |
| 作者单位： | 1.山东理工大学
数学与统计学院,山东 淄博 255049;2.齐鲁医药学院 山东 淄博 255300 |
| |
| 基金项目： | 山东省教育厅资助项目（M2018X098） |
| |
| 摘 要： | 通过构造一个特殊的算子,将脉冲问题转化为连续性问题,然后利用锥拉伸和锥压缩不动点定理,研究Banach空间中一类二阶脉冲微分方程组边值问题,得到多重正解的存在性定理。
|
| 收稿时间： | 2020-04-15 |
Existence of positive solutions for the nonlinear impulsive differentialsystem boundary value problem |
| |
| WANG Ming-gao,TANG Qiu-yun.Existence of positive solutions for the nonlinear impulsive differentialsystem boundary value problem[J].Shandong Science,2021,34(2):114-122. |
| |
| Authors: | WANG Ming-gao TANG Qiu-yun |
| |
| Institution: | 1.School of Mathematics and Statistics,
Shandong University of Technology, Zibo 255049, China;2. Qilu Medical University, Zibo 255300, China |
| |
| Abstract: | By creating a special operator, the
impulsive problem is transformed into a continuity problem. Then, we use the
fixed point theorem of cone expansion and compression to investigate the
boundary value problem of a second-order nonlinear impulsive differential
system. Consequently, we confirm the existence of multiple positive solutions. |
| |
| Keywords: | impulsive differential system boundary value problem cone multiple positive solutions |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《山东科学》浏览原始摘要信息 |
| 点击此处可从《山东科学》下载免费的PDF全文 |
