Generalizations of Gronwall-Bihari Inequalities on Time Scales

Details Generalizations of Gronwall-Bihari Inequalities on Time Scales Generalizations of Gronwall-Bihari Inequalities on Time Scales

2008-05-17

arxiv.org/abs/0805.2673v1

J. Difference Equ. Appl. 15 (2009), no.~06, 529--539

Mathematics

Classical Analysis and ODEs

This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applicatio

Scientific paper

10.1080/10236190802213276

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.

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