Filippov implicit function theorem for quasi-Caratheodory functions

[摘要] Several Filippov type implicit function theorems are known for Caratheodory functions f(t, x), i.e., all f(., x) are measurable and f(t,.) are continuous. We prove some generalisations of this theorem supposing only each function f(t,.) to be quasicontinuous with closed values. (C) 1997 Academic Press.

[发布日期] 1997-10-15