Spectral Analysis of Linear Models of Viscoelasticity
- Авторы: Vlasov V.1, Rautian N.1
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Учреждения:
- M. V. Lomonosov Moscow State University
- Выпуск: Том 230, № 5 (2018)
- Страницы: 668-672
- Раздел: 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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Аннотация
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.
Об авторах
V. Vlasov
M. V. Lomonosov Moscow State University
Автор, ответственный за переписку.
Email: vikmont@yandex.ru
Россия, Moscow
N. Rautian
M. V. Lomonosov Moscow State University
Email: vikmont@yandex.ru
Россия, Moscow