Asymptotics of a solution of a system of integrodifferential equations with time delay
type: Item
instance of: scholarly article
title: Asymptotics of a solution of a system of integrodifferential equations with time delay
zbMATH Open document ID: 0604.45013
DOI: 10.1007/BF01058483
author: V. N. Domnitskij
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: A system of n second order integrodifferential equations with deviating argument is studied with respect to its solvability, in some conditions for the coefficients. Searching the solution of the system in an adequate form, the second order system is reduced to a first order one, which is solved asymptotically in the case when the characteristic equation has nonzero multiple roots. The case of simple roots was studied by the author in an earlier paper. A step by step determination algorithm for the solution is indicated and the form of the solution is given.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45L05
zbMATH DE Number: 3975606
zbMATH Keywords: solvability conditions
zbMATH Keywords: system
zbMATH Keywords: second order
zbMATH Keywords: deviating argument
zbMATH Keywords: nonzero multiple roots
MaRDI profile type: Publication
cites work: Q5516297
description: scientific article; zbMATH DE number 3975606