In this paper we study functional differential inclusions with memory and state constraints. We assume the state space to be a separable Banach space and prove existence results for an upper semicontinuous orientor field; we consider both the case of a globally measurable orientor field and the case of a Caratheodory one.
Viable solutions of differential inclusions with memory in Banach spaces / Gavioli, Andrea; Malaguti, Luisa. - In: PORTUGALIAE MATHEMATICA. - ISSN 0032-5155. - STAMPA. - 57:(2000), pp. 203-217.
Viable solutions of differential inclusions with memory in Banach spaces
GAVIOLI, Andrea;MALAGUTI, Luisa
2000-01-01
Abstract
In this paper we study functional differential inclusions with memory and state constraints. We assume the state space to be a separable Banach space and prove existence results for an upper semicontinuous orientor field; we consider both the case of a globally measurable orientor field and the case of a Caratheodory one.
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