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Spectral properties of cosine operator functions
Authors:Ioana Cioranescu  Carlos Lizama
Affiliation:(1) Depto. Matematica, Universidad de Santiago de Chile, Casilla 5659 Correo 2, Santiago de Chile, Republica de Chile
Abstract:LetA be the generator of a cosine functionCt,t isin R in a Banach spaceX; we shall connect the existence and uniqueness of aT-periodic mild solution of the equationuPrime = Au + f with the spectral property 1isin rgr(CT) and, in caseX is a Hilbert space, also with spectral properties ofA.This research was supported in part by DAAD, West Germany.
Keywords:Primary 34G10   47D05
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