On some integral inequalities and their applications
type: Item
instance of: scholarly article
title: On some integral inequalities and their applications
zbMATH Open document ID: 0878.26012
author: Lechoslaw Hącia
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-12-18T00:00:00Z
review text: In the present paper the author has obtained various upper bounds on solutions of the Volterra-Fredholm type integral inequalities of the form \[ u(x,t)\leq f(x,t)+ \int^t_0 \int^b_0 k(x,t,y,s)u(y,s)dy ds. \] The obtained results are applied to study the boundedness, stability, and uniqueness of the solutions of some integral equations and their systems.
reviewed by: B. G. Pachpatte
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 1003964
zbMATH Keywords: Volterra-Fredholm type integral inequalities
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5258
OpenAlex ID: W2134184306
DOI: 10.1006/JMAA.1997.5258
description: scientific article; zbMATH DE number 1003964