摘要
本文研究了形如 x'(t)∈-Ax(t)+F(t,x(t)),0≤t≤T,x(0)=x_0的微分包含解的存在的局部性和整体性的结果,并在某种条件下研究了解的稳定性.
In this paper some existence theorems of locally and global solutions for the following differential inclusion: ■x'(t)∈-Ax(t)+F(t,x(t)),0≤t≤T x(0)=x_0(D) are obtained.Moreover,under some conditions the stability of solutions for (D)is considered too.
关键词
微分包含
M-增生算子
稳定性
differential inclusion
m-accretive operator
the existence of solution
stability
