Higher order viability problem in Banach spaces

We show the existence of viable solutions to the differential inclusion $$displaylines{ x^{(k)}(t) in F(t,x(t))cr x(0)=x_{0},quad x^{(i)}(0)=y^i_{0},quad i=1,dots,k-1,cr x(t) in Kquadhbox{on } [0,T], }$$ where $k geq 1$, K is a closed subset of a separable Banach space and F(t,x) is an integr...

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Bibliographic Details
Main Authors: Myelkebir Aitalioubrahim, Said Sajid
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/30/abstr.html