Landau-type inequalities and \(L^p\)-bounded solutions of neutral delay systems
type: Item
instance of: scholarly article
title: Landau-type inequalities and \(L^p\)-bounded solutions of neutral delay systems
zbMATH Open document ID: 0976.26007
DOI: 10.1155/S1025583499000454
published in: Journal of Inequalities and Applications
publication date: 2000-05-07T00:00:00Z
full work available at URL: https://eudml.org/doc/121435
review text: In this paper various forms of Landau inequalities \(\|y^{(m)}\|^n\leq \lambda\|y\|^{n-m}\|y^{(n)}\|^m\) and Halperin--Pitt inequalities \(\|y^{(m)}\|\leq \varepsilon\|y^{(n)}\|+S(\varepsilon)\|y\|\) are discussed for arbitrary norms, intervals and vector-valued functions \(y\). Concrete function spaces are then involved, namely Lebesgue, Orlicz and Stepanov spaces. The results are applied to obtaining Esclagon--Landau theorems for solutions of linear neutral delay difference--differential systems.
reviewed by: Luboš Pick
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1417628
zbMATH Keywords: Landau inequalities
zbMATH Keywords: Esclagon-Landau theorem
zbMATH Keywords: \(L^p\)-bounded solutions
zbMATH Keywords: neutral differential-difference systems
author: Hans Günzler
MaRDI profile type: Publication
OpenAlex ID: W2033587992
description: scientific article; zbMATH DE number 1417628