On some gronwall type inequalities involving iterated integrals

Abstract

In this paper we consider simple inequalities involving iterated integrals in the inequality (1.1) for functions when the function u in the both side of the inequality (1.1) are replaced by the function w(u) and φ (u) for some functions w,φ and provide some retarded integral inequalities involving iterated integrals. Some applications are also given to illustrate the usefulness of our results. © ELEMENT Zagreb.