On Volterra inequalities and their applications

We present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained. These results are applied in various problems for differential and integral equations.

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Main Author: Lechosław Hącia
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204208080
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author Lechosław Hącia
author_facet Lechosław Hącia
author_sort Lechosław Hącia
collection DOAJ
description We present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained. These results are applied in various problems for differential and integral equations.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2004-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-03c0e27e06694d6082ec451ce63f86e92025-02-03T01:27:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004311713410.1155/S0161171204208080On Volterra inequalities and their applicationsLechosław Hącia0Institute of Mathematics, Poznań University of Technology, Piotrowo 3a, Poznań 60-965, PolandWe present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained. These results are applied in various problems for differential and integral equations.http://dx.doi.org/10.1155/S0161171204208080
spellingShingle Lechosław Hącia
On Volterra inequalities and their applications
International Journal of Mathematics and Mathematical Sciences
title On Volterra inequalities and their applications
title_full On Volterra inequalities and their applications
title_fullStr On Volterra inequalities and their applications
title_full_unstemmed On Volterra inequalities and their applications
title_short On Volterra inequalities and their applications
title_sort on volterra inequalities and their applications
url http://dx.doi.org/10.1155/S0161171204208080
work_keys_str_mv AT lechosławhacia onvolterrainequalitiesandtheirapplications