We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-1-2, author = {Martin Bohner and B\i ll\^ur Kaymak\c calan}, title = {Opial inequalities on time scales}, journal = {Annales Polonici Mathematici}, volume = {77}, year = {2001}, pages = {11-20}, zbl = {0992.34008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-1-2} }
Martin Bohner; Bıllûr Kaymakçalan. Opial inequalities on time scales. Annales Polonici Mathematici, Tome 77 (2001) pp. 11-20. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-1-2/