On some equivalence relations of differential equations
type: Item
instance of: scholarly article
title: On some equivalence relations of differential equations
zbMATH Open document ID: 0693.34044
DOI: 10.1007/BF01060687
author: E. V. Voskresenskiĭ
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: Sufficient conditions are formulated under which the solutions of systems \(\dot x=A(t)x+f(t,x)\) and \(\dot y=A(t)y\) are asymptotically equivalent for \(t\to +\infty\). The author generalizes theorems concerning asymptotic behaviour by Braner, Levinson and his own results about componentwise asymptotics on manifolds.
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 4134491
zbMATH Keywords: asymptotic equivalence
zbMATH Keywords: componentwise asymptotics on manifolds
reviewed by: Péter F. Moson
MaRDI profile type: Publication
cites work: The Asymptotic Behavior of a System of Linear Differential Equations
cites work: Nonlinear Differential Equations with Forcing Terms
cites work: Asymptotic behavior at infinity between the solutions of two systems of ordinary differential equations
cites work: Stability theory by Liapunov's direct method
description: scientific article; zbMATH DE number 4134491