| BANACH空间中二阶脉冲积分-微分方程初值问题的解 |
| |
| 引用本文： | 张海燕,陈芳启.BANACH空间中二阶脉冲积分-微分方程初值问题的解[J].系统科学与数学,2006,26(5):569-577. |
| |
| 作者姓名： | 张海燕 陈芳启 |
| |
| 作者单位： | 1. 天津大学船舶与海洋工程系,天津,300072
2. 南京航空航天大学数学系,南京,210016 |
| |
| 基金项目： | 国家自然科学基金(10572057)资助． |
| |
| 摘 要： | 在较弱的条件下,我们研究了Banach空间中二阶脉冲积分-微分方程初值问题解的存在性,建立了解的存在定理,本质地改进了郭大钧的相关结果．同时,利用非紧性测度还给出了存在最大最小解的一个充分条件．
|
| 关 键 词： | 脉冲积分-微分方程 初值问题 比较结果 非紧性测度 不动点 |
| 修稿时间： | 2004年1月4日 |
Solutions of Initial Value Problems for Second Order Impulsive Integro-Diffential Equations in BANACH Spaces |
| |
| Zhang Haiyan,Chen Fangqi.Solutions of Initial Value Problems for Second Order Impulsive Integro-Diffential Equations in BANACH Spaces[J].Journal of Systems Science and Mathematical Sciences,2006,26(5):569-577. |
| |
| Authors: | Zhang Haiyan Chen Fangqi |
| |
| Institution: | (1)Department of Naval Architecture and Ocean Engineering, Tianjin University, Tianjin 300072;(2)Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
| |
| Abstract: | Under rather weak conditions,the existence of solutions to initial value problem is studied for the second order impulsive integro-differential equations in Banach spaces.Some existence theorems of solutions are established,and the related results by Guo Dajun are essentially improved.At the same time,one sufficient condition for the existence of minimal and maximal solutions is obtained through the Kuratowski measure of noncompactness. |
| |
| Keywords: | Impulsive integro-differential equation initial value problem comparison result measure of noncompactness fixed-point |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
