Generalization of a retard Gronwall-like inequality

الملخص EN

This paper generalizes a Pachpatte result of Gronwall-like inequalities [Pachpatte, 2002] to a new type of retarded inequalities which includes both a nonconstant term outside theintegrals and more than one distinct nonlinear integrals.

From our result Bihari's result and Pachpatte result can be deduced as some special cases.

Our result can be applied to give the global existence and estimate solutions