ESTIMATION METHOD FOR SOLUTIONS TO GENERAL LINEAR SYSTEM OF VOLTERRA INTEGRAL INEQUALITIES INVOLVING ITERATED INTEGRAL FUNCTIONALS

An estimation method for solutions to the general linear system of Volterra- type integral inequalities containing several iterated integral functionals is obtained. This method is based on a result proved by the present second author in Journ. Math. Anal. Appl.(1984). A certain two-dimensional system of nonlinear ordinary differential equations is also discussed to demonstrate the usefulness of our method.