论文标题
具有序列中不连续矢量场的单调频率
Monotone ODEs with Discontinuous Vector Fields in Sequence Spaces
论文作者
论文摘要
我们考虑了一个无条件的Schauder的Fréchet空间中的ODE系统。颂歌的右侧是不连续的函数。在某些单调性条件下,我们证明了相应的初始值问题的存在定理。我们采用了部分秩序的想法,这在该领域似乎是新的。
We consider a system of ODE in a Fréchet space with unconditional Schauder basis. The right side of the ODE is a discontinuous function. Under certain monotonicity conditions we prove an existence theorem for the corresponding initial value problem. We employ an idea of the partial order which seems to be new in this field.