Abstract

In this paper, a general method is given for the solution of linear Volterra integral equations of the second kind, which is based on the action of the operator defined by the kernel of the integral equation on a suitable basis for the corresponding function spaces. The necessary conditions for using this method are so weak that extends its applicability. The solved examples show the strength of this method.

Key words: Volterra integral equations, Fredholm integral equations, integral operators, basis functions.