SOLVABILITY OF SOME EQUATIONS IN THE CLASS OF ABSTRACT FUNCTIONS
The article considers the existence and uniqueness of the solution of certain nonlinear integral equations in the class of abstract functions over Banach rings. Sufficient conditions for the unique solvability of integral equations are obtained. On the basis of these conditions, the authors proved the theorems of the existence and uniqueness of the solution of certain differential equations in the class of abstract functions over Banach rings.