Explicit bounds on certain integral inequalities
type: Item
instance of: scholarly article
title: Explicit bounds on certain integral inequalities
zbMATH Open document ID: 0996.26008
author: B. G. Pachpatte
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: In this paper, the author establish some explicit bounds on the retarded Gronwall-Bellman-Bihari type integral inequalities. In addition, two variable generalizations of these inequalities are obtained and applied to the study of boundedness, uniqueness and continuous dependence of the solutions of the initial boundary value problem for hyperbolic partial delay differential equations.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 35R10
zbMATH DE Number: 1733394
zbMATH Keywords: explicit bounds
zbMATH Keywords: retarded Gronwall-Bellman-Bihari type integral inequalities
zbMATH Keywords: two independent variable generalizations
zbMATH Keywords: differential and integral equations
zbMATH Keywords: partial derivatives
zbMATH Keywords: hyperbolic delay differential equations
MaRDI profile type: Publication
full work available at URL: jmaa.2001.7743
OpenAlex ID: W1992473141
cites work: Q4003924
cites work: Q3658220
cites work: The stability of solutions of linear differential equations
cites work: A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
cites work: A retarded Gronwall-like inequality and its applications
cites work: Q3913074
cites work: Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
cites work: Inequalities for differential and integral equations
cites work: On some new inequalities related to a certain inequality arising in the theory of differential equations
DOI: 10.1006/JMAA.2001.7743
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description: scientific article; zbMATH DE number 1733394