On a certain retarded Volterra-Fredholm type integral inequalities in several variables and applications

Abstract

In the present paper some new explicit bounds on solutions to a class of new nonlinear retarded integral inequalities of Volterra-Fredholm type of several variables are established. The results obtained extend some known results in the literature and can be used as useful tools in the analysis of the qualitative properties of solutions of certain integral and differential equations. An application is given to illustrate the usefulness of our results to the boundedness and the uniqueness of the solutions of Volterra-Fredholm type integral equation with delay in n variables. MSC 2010: 26D15; 45B05; 45D05.