Generalizations of Gronwall-Bihari Inequalities on Time Scales
Classical Analysis and ODEs
2009-06-11 v1
Abstract
We establish some nonlinear integral inequalities for functions defined on a time scale. The results extend some previous Gronwall and Bihari type inequalities on time scales. Some examples of time scales for which our results can be applied are provided. An application to the qualitative analysis of a nonlinear dynamic equation is discussed.
Keywords
Cite
@article{arxiv.0805.2673,
title = {Generalizations of Gronwall-Bihari Inequalities on Time Scales},
author = {Rui A. C. Ferreira and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0805.2673},
year = {2009}
}
Comments
This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applications"; J. Difference Equ. Appl. is available online at http://www.informaworld.com