Copyright © 2010 Ailian Liu and Martin Bohner. 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 several Gronwall-OuIang-type integral inequalities on time
scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type
inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. Several examples are included to illustrate our results
at the end.