SOLUTIONS OF NONLINEAR VOLTERR EQUATIONS OF THE FIRST KIND WITH LIPSCHITS CONDITIONS
Integral equations play an important role in the section of an integro-differential equation. Modern sciences and technologies are developing with the help of them. They include physics, radio engineering, computer technology, etc. In recent years, many mathematicians have been working on integral equations. With the help of modern computer technology, it becomes possible to implement a variety of numerical theories and simulate complex processes. In the same way, many problems are brought to integral equations. In this case, a qualitative study of problem solving comes to the fore. However, equations with two variable limits of integration, which are called non-classical, are poorly understood. This is due to difficulties in constructing a resolvent and in compiling a relation for it, because an analytical representation in general has not yet been obtained, with the exception of some model cases. Therefore, such research decisions are relevant.