This article concernsan existence result for Floquet boundary value problems associatedto semilinear differential inclusions with Carathéodory righthand side in a Hilbert space. We apply a continuation principleand we require a sharp (i.e., localized on the boundary)transversality condition. We give an application to a nonlinearpartial differential inclusion with periodic conditions
BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications / I., Benedetti; E., Panasenko; Taddei, Valentina. - In: JOURNAL OF APPLIED ANALYSIS. - ISSN 1425-6908. - STAMPA. - 16:2(2010), pp. 237-258. [10.1515/JAA.2010.016]
BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
TADDEI, Valentina
2010
Abstract
This article concernsan existence result for Floquet boundary value problems associatedto semilinear differential inclusions with Carathéodory righthand side in a Hilbert space. We apply a continuation principleand we require a sharp (i.e., localized on the boundary)transversality condition. We give an application to a nonlinearpartial differential inclusion with periodic conditions
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