Analysis of Operator Models Arising in Problems of Hereditary Mechanics |
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| Authors: | V. V. Vlasov N. A. Rautian A. S. Shamaev |
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| Affiliation: | 1. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia, 119899
2. Plekhanov Russian University of Economics, Faculty of Economics and Mathematics, Moscow, Russia, 117997
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| Abstract: | 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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