Integral inequalities of Gronwall type for piecewise continuous functions
type: Item
instance of: scholarly article
title: Integral inequalities of Gronwall type for piecewise continuous functions
zbMATH Open document ID: 0882.26010
DOI: 10.1155/S1048953397000099
author: Drumi Bainov
author: Snezhana Hristova
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1997-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/47808
review text: In the present paper the authors have given the general versions of Gronwall's inequality for piecewise continuous functions. The results obtained are used to obtain sufficient conditions for continuous dependence on the initial conditions of the solutions of certain nonlinear impulsive integro-differential equations.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 1023072
zbMATH Keywords: Gronwall's inequality
zbMATH Keywords: piecewise continuous functions
zbMATH Keywords: impulsive integro-differential equations
reviewed by: B. G. Pachpatte
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1023072