Geodesic
Investigation of operator models arising in viscoelasticity theory
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 60-73

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We study the correct solvability of initial problems for abstract integrodifferential equations with unbounded operator coefficients in a Hilbert space. We do spectral analysis of operator-functions that are symbols of such equations. The equations under consideration are an abstract form of linear integrodifferential equations with partial derivatives arising in viscoelasticity theory and having a number of other important applications. We describe localization and structure of the spectrum of operatorfunctions that are symbols of such equations. 
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     author = {V. V. Vlasov and N. A. Rautian},
     title = {Investigation of operator models arising in viscoelasticity theory},
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V. V. Vlasov; N. A. Rautian. Investigation of operator models arising in viscoelasticity theory. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 60-73. http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a3/