Smooth solutions of a boundary value problem for a differential-difference equation of neutral type
type: Item
instance of: scholarly article
title: Smooth solutions of a boundary value problem for a differential-difference equation of neutral type
zbMATH Open document ID: 0591.34055
DOI: 10.1007/BF01061169
author: A. D. Myshkis
author: G. A. Kamenskii
author: A. L. Skubachevskii
published in: Ukrainian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: Smooth solutions of boundary value problems for linear differential-difference equations with several higher terms and constant coefficients in the main part are studied. Conditions on the boundary functions and on the right-hand sides of the equations guaranteeing existence of smooth solutions are stated and it is proved that the Noether type operator corresponding to the problem is of index \(-2\). In the proofs a relation of these problems to the boundary value problems for linear differential equations without retarded argument with nonlocal boundary value conditions is used.
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 3948808
zbMATH Keywords: smooth solutions
zbMATH Keywords: linear differential-difference equations
zbMATH Keywords: constant coefficients
MaRDI profile type: Publication
Wikidata QID: Q115394471
cites work: Q4073749
cites work: Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
full work available at URL: https://doi.org/10.1007/bf01061169
OpenAlex ID: W2092049381
description: scientific article; zbMATH DE number 3948808