On a class of delay functional-differential equations in Hilbert space
type: Item
instance of: scholarly article
title: On a class of delay functional-differential equations in Hilbert space
zbMATH Open document ID: 0924.34070
DOI: 10.1007/BF02361304
author: V. V. Vlasov
published in: Mathematical Notes
publication date: 1999-11-03T00:00:00Z
review text: The paper is a report without proofs. This report deals with initial value problems for functional-differential equations of neutral type in a Hilbert space in the case of unbounded operator-valued variable coefficients and variable delays. Examples are presented showing that the assumptions of the main theorems are sharp.
reviewed by: Rong Yuan
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 1257166
zbMATH Keywords: equations of neutral type
zbMATH Keywords: variable delays
MaRDI profile type: Publication
cites work: Q3874765
cites work: Theory of functional differential equations. 2nd ed
cites work: Q3992487
cites work: \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
cites work: Some well-posed functional equations which generate semigroups
cites work: Representation of solutions and stability of linear differentialdifference equations in a Banach space
cites work: Semigroup and integral form of a class of partial differential equations with infinite delay
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description: scientific article; zbMATH DE number 1257166