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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    A viability result for Carathéodory non-convex differential inclusion in Banach spaces
    (Wydawnictwa AGH, 2023) Charradi, Nabil; Sajid, Saïd
    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 $E$.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On an evolution inclusion in non-separable Banach spaces
    (2009) Cernea, Aurelian
    We consider a Cauchy problem for a class of nonconvex evolution inclusions in non-separable Banach spaces under Filippov-type assumptions. We prove the existence of solutions.