摘要
本文在抽象Banach空间中研究非自治微分包含系统x（t）∈A（t,x）；x（0）＝x0在闭集上的生存性．在假定A是上半连续，满足一定的模条件与紧性条件之下，获得微分包含初值问题在闭集上的生存定理．
In this paper, we study the existence of solution for nonautomous differential inclusions on closed set in Banach space, i.e.x (t)∈A(t, x), x(0) = x0.Supposing that operator A is upper semi-continuous and satisfies some mode condition and compact conditions, we obtain that the solution of differential inclusions with initial conclutions exists on closed set K.
出处
《系统科学与数学》
CSCD
北大核心
1999年第2期190-195,共6页
Journal of Systems Science and Mathematical Sciences
基金
山西省自然科学基金
关键词
微分包含系统
初值问题
闭集
巴拿赫空间
生存性
Banach space, differential inclusions, initial problem, existence on closed set
