Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 57, No. 2, pp. 203-217 (2000)

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Viable Solutions of Differential Inclusions with Memory in Banach Spaces

Andrea Gavioli and Luisa Malaguti

Dipartimento di Matematica Pura e Applicata, Università di Modena,
via Campi 213/B, 41100 Modena - ITALY
E-mail: gavioli@unimo.it , malaguti@unimo.it

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 u.s.c. orientor field; we consider both the case of a globally measurable orientor field and the case of a Caratheodory one.

Keywords: Differential inclusions with memory; viable trajectories.

Classification (MSC2000): 34A60, 49K25.

Full text of the article:

Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.

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