| 一阶非连续微分系统解的存在与唯一性 |
| |
| 引用本文： | 刘立山.一阶非连续微分系统解的存在与唯一性[J].应用数学,1995,8(3):273-277. |
| |
| 作者姓名： | 刘立山 |
| |
| 作者单位： | 曲阜师范大学数学系 曲阜 |
| |
| 基金项目： | 山东省青年自然科学基金 |
| |
| 摘 要： | 本文讨论了一阶非连续微分系统初值问题和边值问题，在方程右端函数不连续并且不具有任何单调性的情况下，给出了方程的唯一解，并且给出了收敛于方程解的迭代序列。
|
| 关 键 词： | 不连续微分系统 解 存在性 唯一性 微分方程 |
The Existence and Uniqueness of Solutions of First Order Discontinuous Differential Systems |
| |
| Liu Lishan.The Existence and Uniqueness of Solutions of First Order Discontinuous Differential Systems[J].Mathematica Applicata,1995,8(3):273-277. |
| |
| Authors: | Liu Lishan |
| |
| Abstract: | In this paper,the initial value problem and periodic boundary value problem of first order discontinuous differential systems are studied. The existence and uniquness of solutions are obtained when the right side of discontinuous differential systems does not possess any monotone properties,and the iterative sequences that converge to the unique solution of differential systems is also given. These results improve and generlize some results in 1-3]. |
| |
| Keywords: | Discontinuous differential systems Unique solution Iterative sequences |
| 本文献已被 CNKI 维普 等数据库收录！ |
