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    Well-posedness and qualitative properties for abstract time-difference equations

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    URI
    http://hdl.handle.net/10584/10075
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    Autor
    Díaz Noguera, Stiven E.
    Fecha
    2021
    Resumen
    In this thesis we introduce the notions of the stable Levy process and the scaled Wright function within the discrete setting. Using these notions, we prove a subordination principle which will be used to investigate different classes of discrete time fractional difference equations. In addition, we introduce the Banach space of (N, λ)-periodic vector-valued sequences. Moreover, we show the existence and uniqueness of (N, λ)-periodic solutions to a class of abstract Volterra difference equations as well as of fractional difference equations.
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