On the Uniqueness of a Solution for Linear Integral Volterra Equations of the Third Kind on a Segment

Abstract

The issue of the uniqueness of the solution for a new class of linear integral Volterra equations of the third kind on a segment is studied. On the basis of the method of integral transformations and the method of non-negative quadratic forms, uniqueness theorems for solutions are proved for a given class of integral equations of the third kind.