Spectral Analysis of Linear Models of Viscoelasticity
- Autores: Vlasov V.1, Rautian N.1
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Afiliações:
- M. V. Lomonosov Moscow State University
- Edição: Volume 230, Nº 5 (2018)
- Páginas: 668-672
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240789
- DOI: https://doi.org/10.1007/s10958-018-3766-4
- ID: 240789
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Resumo
In this paper, we examine Volterra integrodifferential equations with unbounded operator coefficients in Hilbert spaces. Equations considered are abstract hyperbolic equations perturbed by terms containing Volterra integral operators. These equations can be realized as partial integrodifferential equations that appear in the theory of viscoelasticity (see [2, 5]), as Gurtin–Pipkin integrodifferential equations (see [1, 7]) that describe finite-speed heat transfer in materials with memory. They also appear in averaging problems for multiphase media (Darcy’s law.
Sobre autores
V. Vlasov
M. V. Lomonosov Moscow State University
Autor responsável pela correspondência
Email: vikmont@yandex.ru
Rússia, Moscow
N. Rautian
M. V. Lomonosov Moscow State University
Email: vikmont@yandex.ru
Rússia, Moscow