General weighted Opial inequalities for linear differential operators
type: Item
instance of: scholarly article
title: General weighted Opial inequalities for linear differential operators
zbMATH Open document ID: 0939.26006
author: George A. Anastassiou
author: J. Pečarić
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-01-05T00:00:00Z
review text: In the present paper a complete set of \(L_r\) \((r\neq 0)\) from a very general Opial type weighted inequality is given for a general linear differential operator \(L\). These involve its related initial value problem solution \(y\), \(Ly\), the associated Green's function \(H\), and initial conditions point \(x_0\in R\). An application to proving uniqueness of solutions of initial problems is also given.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 1384930
zbMATH Keywords: Opial type weighted inequality
zbMATH Keywords: linear differential operator
zbMATH Keywords: initial value problem
reviewed by: B. G. Pachpatte
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6573
OpenAlex ID: W2071936010
cites work: Opial-type inequalities involving higher order differences
cites work: Opial type inequalities for linear differential operators
cites work: Q5509725
cites work: Sur une inégalité
cites work: On Opial-type integral inequalities
cites work: The Existence-Uniqueness Theorem for an nth Order Linear Ordinary Differential Equation
DOI: 10.1006/JMAA.1999.6573
Recommended article: Q4525838
Recommended article: Opial type inequalities for linear differential operators
Recommended article: Q4695996
Recommended article: Q3446394
Recommended article: Q5395651
Recommended article: Weighted norm inequalities for certain pseudo-differential operators
Recommended article: Weighted inequalities for potential operators on differential forms
Recommended article: Q3500694
Recommended article: Weighted variation inequalities for differential operators and singular integrals
Recommended article: Weighted norm inequalities for integral operators
description: scientific article; zbMATH DE number 1384930