EXAMPLES OF SOLUTION OF THE FIRST KIND VOLTERRA INTEGRAL EQUATION

Abstract

Integral equations belong to the branch of mathematics, which is important for applications — a large number of problems of various branches of physics, engineering, and many sciences are given to them. In this regard, in recent years, the theory of integral equations has been developing rapidly thanks to the work of many researchers. With the development of modern computer technologies, it becomes possible to model the most complex processes and implement numerical solutions. And many problems of this kind are reduced to integral equations. The qualitative research of solutions to these problems is put at the forefront. However, equations with two variable limits of integration, which are called non-classical, have been little studied. This is due to the difficulties in constructing the resolvent and in constructing a relation for it, because The analytical representation in general form has not yet been obtained except for some model cases. Therefore, studies of approximate solutions are relevant.