Functional-differential equations with compressed arguments and polynomial coefficients: Asymptotics of the solutions
type: Item
instance of: scholarly article
title: Functional-differential equations with compressed arguments and polynomial coefficients: Asymptotics of the solutions
zbMATH Open document ID: 0868.34059
author: Gregory Derfel
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-08-11T00:00:00Z
review text: The functional-differential equation with linearly compressed arguments and polynomial coefficients \(y^{(m)}(t)=\sum^l_{j=0}\sum^{m-1}_{k=0}\sum^r_{\nu=0}a_{jk\nu}t^\nu y^{(k)}(\alpha_jt)\) is considered. Under some restrictions it is proved that each solution \(y(t)\) of this equation, satisfying the estimate \(|y(t)|<C\text{exp}\{\gamma\ln^2(1+|t|)\}\), \(t\in\mathbb{R}_+\), where \(0<\gamma<\widetilde\gamma\), is a polynomial.
reviewed by: Josef Diblík
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 811197
zbMATH Keywords: functional-differential equation
zbMATH Keywords: linearly compressed arguments
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1260
OpenAlex ID: W2079702852
DOI: 10.1006/JMAA.1995.1260
description: scientific article; zbMATH DE number 811197