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。
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].
出处
《应用数学》
CSCD
北大核心
1995年第3期273-277,共5页
Mathematica Applicata
基金
山东省青年自然科学基金
关键词
不连续微分系统
解
存在性
唯一性
微分方程
Discontinuous differential systems
Unique solution
Iterative sequences
