TY  - JOUR
ID  - Charradi2023
LB  - Charradi2023
AU  - Charradi, Nabil
AU  - Sajid, Saïd
TI  - A viability result for Carathéodory non-convex differential inclusion in Banach spaces
ST  - A viability result for Carathéodory non-convex differential inclusion in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2023
VL  - 43
IS  - 5
SP  - 621
EP  - 632
DO  - https://doi.org/10.7494/OpMath.2023.43.5.621
UR  - https://doi.org/10.7494/OpMath.2023.43.5.621
AB  - This paper deals with the existence of solutions to the following differential inclusion: \(\dot{x}(t)\in F(t,x(t))\) a.e. on \([0, T[\) and \(x(t)\in K\), for all \(t \in [0, T]\), where \(F: [0, T]\times K \rightarrow 2^E\) is a Carathéodory multifunction and \(K\) is a closed subset of a separable Banach space \(E\).
KW  - viability
KW  - measurable multifunction
KW  - selection
KW  - Carathéodory multifunction
SN  - 1232-9274
ER  -