Geodesic
Analysis of operator models arising in problems of hereditary mechanics
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, Tome 45 (2012), pp. 43-61

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The correct solvability of initial-value problems for integrodifferential equations with unbounded operator coefficients in Hilbert spaces is determined. Numerous problems of hereditary mechanics and thermal physics have motivated the study of such equations. Models taking into account a Kelvin–Voight friction are considered. A spectral analysis of the operator functions, which are the symbols of integro-differential equations considered in this paper, is made. 
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     author = {V. V. Vlasov and N. A. Rautian and A. S. Shamaev},
     title = {Analysis of operator models arising in problems of hereditary mechanics},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2012_45_a3/}
}
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V. V. Vlasov; N. A. Rautian; A. S. Shamaev. Analysis of operator models arising in problems of hereditary mechanics. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, Tome 45 (2012), pp. 43-61. http://geodesic.mathdoc.fr/item/CMFD_2012_45_a3/