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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 1-4, Pages 117-134
doi:10.1155/S0161171204208080

On Volterra inequalities and their applications

Lechosław H\c acia

Institute of Mathematics, Poznań University of Technology, Piotrowo 3a, Poznań 60-965, Poland

Abstract

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.