ON ABSTRACT INTEGRAL EQUATIONS WITH TWO NONLINEAR VOLTERRA TYPE OPERATORS IN METRIC SPACES

摘要

In the present work a class of abstract integral equations of second kind with two nonlinear Volterra type operators is considered. Sufficient conditions for the existence and uniqueness of the solutions of this class integral equations are obtained. The corresponding integral inequalities are studied too and some applications of the obtained results to integral inequalities involving maxima are given.