Abstract
We examine integro-differential equations with unbounded operator-valued coefficients. The principal part of such an equation is an abstract hyperbolic operator perturbed by Volterra integral operators whose kernels are fractional exponential functions of the type occurring in viscoelasticity.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 32, pp. 91–110, 2019.
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Vlasov, V.V., Rautian, N.A. A Study of Operator Models Arising in Problems of Hereditary Mechanics. J Math Sci 244, 170–182 (2020). https://doi.org/10.1007/s10958-019-04612-3
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DOI: https://doi.org/10.1007/s10958-019-04612-3