Existence of solutions to differential inclusions with primal lower nice functions

We prove the existence of absolutely continuous solutions to the differential inclusion $$ \dot{x}(t)\in F(x(t))+h(t,x(t)), $$ where F is an upper semi-continuous set-valued function with compact values such that $F(x(t))\subset \partial f(x(t))$ on [0,T], where f is a primal lower nice funct...

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Bibliographic Details
Main Authors: Nora Fetouci, Mustapha Fateh Yarou
Format: Article
Language:English
Published: Texas State University 2016-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/48/abstr.html