Spectral Analysis of Linear Models of Viscoelasticity
- Авторлар: Vlasov V.1, Rautian N.1
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Мекемелер:
- M. V. Lomonosov Moscow State University
- Шығарылым: Том 230, № 5 (2018)
- Беттер: 668-672
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240789
- DOI: https://doi.org/10.1007/s10958-018-3766-4
- ID: 240789
Дәйексөз келтіру
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.
Авторлар туралы
V. Vlasov
M. V. Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: vikmont@yandex.ru
Ресей, Moscow
N. Rautian
M. V. Lomonosov Moscow State University
Email: vikmont@yandex.ru
Ресей, Moscow