International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 3, Pages 117-134

On Volterra inequalities and their applications

Lechosław Hącia

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

Received 14 August 2002

Copyright © 2004 Lechosław Hącia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.