The Abel equation in the asymptotic theory of functional differential equations
type: Item
instance of: scholarly article
title: The Abel equation in the asymptotic theory of functional differential equations
zbMATH Open document ID: 1010.39007
author: Jan Čermák
published in: Aequationes Mathematicae
publication date: 2002-12-01T00:00:00Z
review text: The author studies the asymptotic behaviour of the solutions of the matrix delay differential equation \[ \dot {\mathbf x} (t) = {\mathbf {A x}} (\tau (t)) + {\mathbf {Bx}} (t) \quad t \in [t_0, \infty) \] with complex constant matrices \textbf{A,\ B} and \( \tau \) a real-valued function satisfying certain regularity conditions. Relations with the Abel equation \( \varphi ( \tau (t)) = \varphi (t) - 1 \) are given.
reviewed by: Claudi Alsina
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B72
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 1837082
zbMATH Keywords: Abel equation
zbMATH Keywords: functional differential equation
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: matrix delay differential equation
Wikidata QID: Q115390178
MaRDI profile type: Publication
full work available at URL: s00010-002-8033-5
OpenAlex ID: W2077410930
DOI: 10.1007/S00010-002-8033-5
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description: scientific article; zbMATH DE number 1837082