| 二阶混合单调型脉冲微分方程的初值问题 |
| |
| 引用本文： | 孙金丽,马意海.二阶混合单调型脉冲微分方程的初值问题[J].应用泛函分析学报,2001,3(2):97-102. |
| |
| 作者姓名： | 孙金丽 马意海 |
| |
| 作者单位： | 1. 山东大学数学系,山东,济南,250100
2. 徐州师范大学数学系,江苏,徐州,221009 |
| |
| 摘 要： | 利用混合单调凝聚算子的耦合不动点定理，给出了二阶混合单调型脉冲微分方程的初值问题的解的存在唯一性及迭代逼近定理。
|
| 关 键 词： | 脉冲微分方程 初值问题 混合单调 解 迭代逼近定理 二阶 凝聚算子 耦合不动点定理 |
Initial Value Problems
for Second Order Mixed Monotone Type of Impulsive Differential Equations |
| |
| SUN Jin-li,MA Yi-hai.Initial Value Problems
for Second Order Mixed Monotone Type of Impulsive Differential Equations[J].Acta Analysis Functionalis Applicata,2001,3(2):97-102. |
| |
| Authors: | SUN Jin-li MA Yi-hai |
| |
| Institution: | SUN Jin-li,MA Yi-hai Department of Mathematics,Shandong University,Jinan 250100,China Department of Mathematics,Xuzhou Normal University,Xuzhou 221009,China |
| |
| Abstract: | In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence, uniqueness and iterative approximation theorem of solutions of initial value problems for second order mixed monotone type of impulsive differential equations. |
| |
| Keywords: | impulsive differential equation initial value problem mixed monotone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
