A class of nonlinear delay integral inequalities for two-variable functions and their applications in Volterra integral equations

Abstract

In this paper, we establish some new nonlinear integral inequalities with delay in two independent variables which generalize some known inequalities recently obtained. These results can be used as handy tools to study the boundedness of solutions of Volterra integral equations. An application is given to illustrate how our results can be applied to study the boundedness of the solutions of certain Volterra equations