Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution
type: Item
instance of: scholarly article
title: Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution
zbMATH Open document ID: 1028.34059
DOI: 10.1016/S0022-247X(02)00715-1
author: Valery Y. Glizer
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The author investigates a singularly perturbed system of linear differential equations with a small delay. He derives estimates on blocks of the fundamental matrix solution to this system uniformly valid for all sufficiently small values of the parameter of singular perturbations in the cases of time-independent and time-dependent coefficients of the system. These estimates are applied to justify a uniform asymptotic solution to an initial value problem for this system in both cases.
Mathematics Subject Classification ID: 34K06
zbMATH DE Number: 1915718
zbMATH Keywords: linear functional-differenetial equations
zbMATH Keywords: fundamental matrix
zbMATH Keywords: uniform asymptotic solution
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915718