Hyperbolic differential-operator equations on a whole axis
type: Item
instance of: scholarly article
title: Hyperbolic differential-operator equations on a whole axis
zbMATH Open document ID: 1096.34037
DOI: 10.1155/S1085337504311103
author: Yakov Yakubov
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/52682
review text: The author considers the initial-boundary value problem for hyperbolic equations on the whole axis such that a part of the initial-boundary conditions contains the differentiation in time. Actually, an abstract interpretation of this problem is given. As application, he gives sufficient conditions under which the solution of the problem is stable. In particular, the method given in this paper, is applied to study the longitudinal displacements of an inhomogeneous rod under the action of forces at the two ends which are proportional to the acceleration.
reviewed by: Shangquan Bu
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 2163640
zbMATH Keywords: hyperbolic equations
MaRDI profile type: Publication
OpenAlex ID: W2050144131
description: scientific article; zbMATH DE number 2163640