| Banach空间中的终值问题 |
| |
| 引用本文： | 吴绍平.Banach空间中的终值问题[J].湖北大学学报(自然科学版),1991,13(1):38-42,56. |
| |
| 作者姓名： | 吴绍平 |
| |
| 作者单位： | 湖北大学数学系 |
| |
| 摘 要： | 本文以非紧致度为工具,研究了Banach空间中具有不连续右端的常微分方程的终值问题,得到了解的存在性定理。我们的讨论是在Caratheodory条件下进行的,取消了文1]中定理3中的f连续性条件,从而改进了1]中的相应结论。
|
| 关 键 词： | Manach空间 终值问题 非紧致度 |
THE TERMINAL VALUE PROBLEM IN BANACH SPACES |
| |
| Wu Shaoping.THE TERMINAL VALUE PROBLEM IN BANACH SPACES[J].Journal of Hubei University(Natural Science Edition),1991,13(1):38-42,56. |
| |
| Authors: | Wu Shaoping |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | The purpose of this paper is to study the terminal value problem for ordinary differen-ial equations that are discontinuous on their right hands in Banach spaces by using noncompact measures. We obtained one existence theorem, in which the conditions for right hand functions / to be continuous are cancelled, but the Caratheodory conditions. Our conclution improves the theorem of article (1). |
| |
| Keywords: | Banach spaces Noncompact measures Terminal value problem Caratheodory conditions |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
