RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Publishing Ethics Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 CMFD: Year: Volume: Issue: Page: Find

 CMFD, 2018, Volume 64, Issue 1, Pages 60–73 (Mi cmfd346)

Investigation of operator models arising in viscoelasticity theory

V. V. Vlasov, N. A. Rautian

Lomonosov Moscow State University, Moscow, Russia

Abstract: We study the correct solvability of initial problems for abstract integrodifferential equations with unbounded operator coefficients in a Hilbert space. We do spectral analysis of operator-functions that are symbols of such equations. The equations under consideration are an abstract form of linear integrodifferential equations with partial derivatives arising in viscoelasticity theory and having a number of other important applications. We describe localization and structure of the spectrum of operatorfunctions that are symbols of such equations.

 Funding Agency Grant Number Russian Science Foundation 17-11-01215

DOI: https://doi.org/10.22363/2413-3639-2018-64-1-60-73

Full text: PDF file (200 kB)
References: PDF file   HTML file

UDC: 517.968.72

Citation: V. V. Vlasov, N. A. Rautian, “Investigation of operator models arising in viscoelasticity theory”, Differential and functional differential equations, CMFD, 64, no. 1, Peoples' Friendship University of Russia, M., 2018, 60–73

Citation in format AMSBIB
\Bibitem{VlaRau18} \by V.~V.~Vlasov, N.~A.~Rautian \paper Investigation of operator models arising in viscoelasticity theory \inbook Differential and functional differential equations \serial CMFD \yr 2018 \vol 64 \issue 1 \pages 60--73 \publ Peoples' Friendship University of Russia \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd346} \crossref{https://doi.org/10.22363/2413-3639-2018-64-1-60-73}