| Banach空间中的一阶脉冲积微分方程无穷边值问题 |
| |
| 引用本文： | 石漂漂,王文霞.Banach空间中的一阶脉冲积微分方程无穷边值问题[J].山西大学学报(自然科学版),2010,33(1). |
| |
| 作者姓名： | 石漂漂 王文霞 |
| |
| 作者单位： | 1. 晋中学院数学学院,山西晋中,030600
2. 太原师范学院数学系,山西太原,030012 |
| |
| 基金项目： | 山西省自然科学基金，山西省高等学校科技研究开发项目 |
| |
| 摘 要： | 通过建立一个新的比较定理,利用上下解方法及单调迭代技术给出了抽象空间中一类具有无穷个间断点的一阶脉冲积分一微分方程无穷边值问题的最小最大解存在的充分条件,所获结论推广了文6]的主要结果.
|
| 关 键 词： | 脉冲积分-微分方程 上下解 锥 |
Infinite Boundary Value Problems for First Order Nonlinear Impulsive Integro-differential Equations in Banach Space |
| |
| SHI Piao-piao,WANG Wen-xia.Infinite Boundary Value Problems for First Order Nonlinear Impulsive Integro-differential Equations in Banach Space[J].Journal of Shanxi University (Natural Science Edition),2010,33(1). |
| |
| Authors: | SHI Piao-piao WANG Wen-xia |
| |
| Institution: | SHI Piao-piao1,WANG Wen-xia2(1.School of Mathematical Science,Jinzhong University,Jinzhong 030600,China,2.Department of Mathematics,Taiyuan Normal University,Taiyuan 030012,China) |
| |
| Abstract: | A new comparison principle is established,and then the lower and upper solution method and the monotone iterative technique are employed to study the infinite boundary value problems for first order impulsive integro-differential equations with infinite skip points in a Banach space.Finally,the sufficeient conditions for the existence of maximal and minimal solutions are obtained.The researches in this paper extend the main results of paper6]. |
| |
| Keywords: | impulsive integro-differential equations upper and lower solutions cone |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
