@Article{Charradi2023,
author = "Charradi, Nabil and Sajid, Saïd",
title = "A viability result for Carathéodory non-convex differential inclusion in Banach spaces",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "5",
pages = "621--632",
doi = "https://doi.org/10.7494/OpMath.2023.43.5.621",
url = "https://doi.org/10.7494/OpMath.2023.43.5.621",
abstract = "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 \(E\).",
keywords = "viability, measurable multifunction, selection, Carathéodory multifunction",
issn = "1232-9274"
}