Existence of solutions with a particular form of asymptotics in certain systems of functional differential equations of retarded type
type: Item
instance of: scholarly article
title: Existence of solutions with a particular form of asymptotics in certain systems of functional differential equations of retarded type
zbMATH Open document ID: 0733.34079
DOI: 10.1007/BF00972768
published in: Siberian Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: Under ad-hoc conditions concerning the entries of the matrix A(t), a solution \(y=(y^ 1,...,y^ n)\) to \(y'(t)=A(t)y(t-h)\) and function f, the method of Wazewski, as extended in [\textit{K. P. Rybakowski}, J. Differ. Equations 36, 117-138 (1980; Zbl 0407.34056)] is used to obtain existence of a solution \(x=(x^ 1,...,x^ n)\) to \(x'(t)=A(t)x(t- h)+f(t,x_ t),\) such that \(| x^ i(t)-y^ i(t)| <\delta_ i(y^ i(t))^{p_ i},\) \(i=1,...,n\).
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 4212544
zbMATH Keywords: functional-differential equations
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: method of Wazewski
zbMATH Keywords: existence
author: Josef Diblík
MaRDI profile type: Publication
cites work: Stability of functional differential equations
cites work: Functional differential equations
cites work: Q3310939
cites work: Q3724748
cites work: Q5532996
description: scientific article; zbMATH DE number 4212544