On exponentially small terms of solutions to nonlinear ordinary differential equations
type: Item
instance of: scholarly article
title: On exponentially small terms of solutions to nonlinear ordinary differential equations
zbMATH Open document ID: 0838.34074
author: Yanyan Li
published in: Methods and Applications of Analysis
publication date: 1996-05-30T00:00:00Z
review text: The author considers a first-order system with a slowly-varying matrix and a small nonlinear part that depends on two times. The first one is a slowly-varying time. The nonlinear part is periodic in the second time. Combining the ideas of averaging method and frozen coefficients method the author finds a main part of the asymptotics of the solution on a large time interval.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 818484
zbMATH Keywords: slowly-varying matrix
zbMATH Keywords: averaging method
zbMATH Keywords: frozen coefficients method
zbMATH Keywords: asymptotics
reviewed by: V. V. Strygin
MaRDI profile type: Publication
DOI: 10.4310/MAA.1994.V1.N1.A5
description: scientific article; zbMATH DE number 818484