Higher order viability problem in Banach spaces

Electronic Journal of Differential Equations

关键词: Differential inclusion;    measurability;    selection;    viability;   

DOI  :  

来源: DOAJ

【 摘 要 】

We show the existence of viable solutions to the differential inclusion$$displaylines{x^{(k)}(t) in F(t,x(t))crx(0)=x_{0},quad x^{(i)}(0)=y^i_{0},quad i=1,dots,k-1,crx(t) in Kquadhbox{on } [0,T],}$$where $k geq 1$, K is a closed subset of a separable Banach spaceand F(t,x) is an integrable bounded multifunction with closed values,(strongly) measurable in t and Lipschitz continuous in x.

【 授权许可】

Unknown