Abstract
A class of parabolic partial integrodifferential equations with discrete and distributed delays in the spatial derivatives of maximum order is considered. After the study of well posedness of the initial value problem the asymptotic behaviour of the solutions is investigated through the spectral properties of the infinitesimal generator of the solution semigroup.
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Di Blasio, G., Kunisch, K. & Sinestrari, E. Stability for abstract linear functional differential equations. Israel J. Math. 50, 231–263 (1985). https://doi.org/10.1007/BF02761404
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DOI: https://doi.org/10.1007/BF02761404