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Spectral properties of cosine operator functions

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Abstract

LetA be the generator of a cosine functionC t ,t ∈ R in a Banach spaceX; we shall connect the existence and uniqueness of aT-periodic mild solution of the equationu″ = Au + f with the spectral property 1∈ ρ(C T ) and, in caseX is a Hilbert space, also with spectral properties ofA.

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Authors and Affiliations

  1. Depto. Matematica, Universidad de Santiago de Chile, Casilla 5659 Correo 2, Santiago de Chile, Republica de Chile

    Ioana Cioranescu & Carlos Lizama

Authors
  1. Ioana Cioranescu
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  2. Carlos Lizama
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This research was supported in part by DAAD, West Germany.

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Cioranescu, I., Lizama, C. Spectral properties of cosine operator functions. Aeq. Math. 36, 80–98 (1988). https://doi.org/10.1007/BF01837973

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