Viability problem with perturbation in Hilbert space

A. Ait, Said Sajid
2007 Electronic Journal of Qualitative Theory of Differential Equations  
This paper deals with the existence result of viable solutions of the differential inclusionẋ where K is a locally compact subset in separable Hilbert space H, (f (s, ·))s is an equicontinuous family of measurable functions with respect to s and F is an upper semi-continuous set-valued mapping with compact values contained in the Clarke subdifferential ∂cV (x) of an uniformly regular function V.
doi:10.14232/ejqtde.2007.1.7 fatcat:l2mn2nstpndynaixh22r5nljge