Second-Order Viability Problems with Perturbation in Hilbert Spaces

Author: Aitalioubrahim M.  

Publisher: Springer Publishing Company

ISSN: 1079-2724

Source: Journal of Dynamical and Control Systems, Vol.16, Iss.4, 2010-10, pp. : 453-469

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Abstract

In this paper, we study the existence of viable solutions to the differential inclusion where f is a Carathéodory single-valued map and F is an upper semi-continuous multifunction with compact values contained in the Clarke subdifferential c V of an uniformly regular function V.