Spectral Analysis of Linear Models of Viscoelasticity
- 作者: Vlasov V.1, Rautian N.1
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隶属关系:
- M. V. Lomonosov Moscow State University
- 期: 卷 230, 编号 5 (2018)
- 页面: 668-672
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240789
- DOI: https://doi.org/10.1007/s10958-018-3766-4
- ID: 240789
如何引用文章
详细
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.
作者简介
V. Vlasov
M. V. Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: vikmont@yandex.ru
俄罗斯联邦, Moscow
N. Rautian
M. V. Lomonosov Moscow State University
Email: vikmont@yandex.ru
俄罗斯联邦, Moscow