| Banach空间中二阶非线性混合型积分-微分方程初值问题的解 |
| |
| 引用本文： | 李耀红,张海燕.Banach空间中二阶非线性混合型积分-微分方程初值问题的解[J].山东大学学报(理学版),2010,45(12):93-97. |
| |
| 作者姓名： | 李耀红 张海燕 |
| |
| 作者单位： | 1. 宿州学院数学系, 安徽 宿州 234000; 2. 山东大学数学学院, 山东 济南 250100 |
| |
| 基金项目： | 安徽省教育厅自然科学研究资助项目，宿州学院自然科学基金资助项目 |
| |
| 摘 要： | 得到了一个新的比较结果,利用该结果和Mnch不动点定理,获得了Banach空间中二阶非线性混合型积分-微分方程解的存在性定理,同时还利用非紧性测度给出了存在最小最大解的一个充分条件,改进和推广了已有的结果。
|
| 关 键 词： | 积分-微分方程 初值问题 比较结果 非紧性测度 |
| 收稿时间： | 2009-10-30 |
The solutions of initial value problems for nonlinear second order integro-differential equations of mixed type in Banach spaces |
| |
| LI Yao-hong,ZHANG Hai-yan.The solutions of initial value problems for nonlinear second order integro-differential equations of mixed type in Banach spaces[J].Journal of Shandong University,2010,45(12):93-97. |
| |
| Authors: | LI Yao-hong ZHANG Hai-yan |
| |
| Institution: | 1. Department of Mathematics, Suzhou University, Suzhou 234000, Anhui, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
| |
| Abstract: | By using a new established comparison result and the Mnch fixed point theorem, the existence of solutions of initial value problems for nonlinear second order intergro-differential equations of mixed type in Banach spaces is investigated. Also, one sufficient condition for the existence of minimal and maximal solutions is obtained through applying the measure of noncompactness. The results improve and generalize some well-known results. |
| |
| Keywords: | integro-differential equations initial value problems comparison result measure of noncompactness |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
