Study of Kelvin–Voigt Models Arising in Viscoelasticity


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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.

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A. Davydov

Lomonosov Moscow State University

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Email: esse101@yandex.ru
俄罗斯联邦, Moscow, 119991

Yu. Tikhonov

Lomonosov Moscow State University

Email: esse101@yandex.ru
俄罗斯联邦, Moscow, 119991

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