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BVP for Caratheodory inclusions in Hilbert spaces: sharp existence conditions and applications

Benedetti I., Panasenko E., Taddei V.

Journal of Applied Analysis

2010

Vol. 16, nr 2

237-258

This article concerns an existence result for Floquet boundary value problems associated to semilinear differential inclusions with Carathéodory right hand side in a Hilbert space. We apply a continuation principle and we require a sharp (i.e., localized on the boundary) transversality condition. We give an application to a nonlinear partial differential inclusion with periodic conditions.