APPLICATION OF FUNCTIONAL SERIES AT THE SOLUTION OF INTEGRAL EQUATIONS

In this paper we consider the Volterra integral equations of the second kind. Even though they have a fairly specialized structure, the Volterra integral equations form an important class of integral equations in applications. This is because often independent problems in the field of physics and biology boil down to the solution of such equations. A new method for constructing solutions of the Voltaire integral equations of the second kind in the form of a power series is proposed.