Email this article Study of Kelvin–Voigt Models Arising in Viscoelasticity
- Authors: Davydov A.V.1, Tikhonov Y.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 54, No 12 (2018)
- Pages: 1620-1635
- Section: Integral Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154899
- DOI: https://doi.org/10.1134/S001226611812008X
- ID: 154899
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Abstract
An operator model of integro-differential equations arising in the theory of viscoelasticity is studied. The spectral analysis of operator functions which are the symbols of Gurtin–Pipkin-type integro-differential equations is carried out with the Kelvin–Voigt friction taken into account.
About the authors
A. V. Davydov
Lomonosov Moscow State University
Author for correspondence.
Email: esse101@yandex.ru
Russian Federation, Moscow, 119991
Yu. A. Tikhonov
Lomonosov Moscow State University
Email: esse101@yandex.ru
Russian Federation, Moscow, 119991
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