Study of functional-differential equations with unbounded operator coefficients
type: Item
instance of: scholarly article
title: Study of functional-differential equations with unbounded operator coefficients
zbMATH Open document ID: 1405.35242
DOI: 10.1134/S1064562417060291
author: V. V. Vlasov
author: N. A. Rautian
published in: Doklady Mathematics
publication date: 2018-03-28T00:00:00Z
review text: The authors present a survey study of functional-differential and integro-differential equations where the principal part is an abstract hyperbolic equation, while the perturbed part incorporates unbounded variable operator coefficients with variable delays. Moreover, they consider integro-differential equations with parameter-dependent kernels which have applications to viscoelasticity, diffusion and heat conduction in media with memory. Several theorems on well-posedness and spectral analysis are given. The proofs of the theorems are omitted. The authors give a reference to their previously published results.
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35R15
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 6854415
zbMATH Keywords: functional differential equations
zbMATH Keywords: integro-differential equations
zbMATH Keywords: spectral analysis
reviewed by: Miklavž Mastinšek
MaRDI profile type: Publication
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full work available at URL: s1064562417060291
OpenAlex ID: W2781929848
description: scientific article; zbMATH DE number 6854415