Study of Volterra integro-differential equations arising in viscoelasticity theory
- Authors: Vlasov V.V.1, Rautian N.A.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 94, No 3 (2016)
- Pages: 639-642
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224498
- DOI: https://doi.org/10.1134/S1064562416060144
- ID: 224498
Cite item
Abstract
Volterra integrodifferential equations with unbounded operator coefficients in a Hilbert space that are operator models of integrodifferential equations arising in viscoelasticity theory are studied. These equations are shown to be well-posed in Sobolev spaces of vector functions, and spectral analysis is applied to the operator functions that are the symbols of the given equations.
About the authors
V. V. Vlasov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: vivvlasov@rambler.ru
Russian Federation, Moscow, 119992
N. A. Rautian
Faculty of Mechanics and Mathematics
Email: vivvlasov@rambler.ru
Russian Federation, Moscow, 119992