ANALYTIC METHOD FOR SOLVING ONE CLASS OF NONLINEAR EQUATIONS

The paper proposes an analytical approximate method for calculating multidimensional integrals of analytic integrand functions, using the approximation of the latter by a power series. This approach lets transforming the original system of nonlinear equations with integral components into a system of equations with a polynomial left-hand side. To solve equations of this class we developed an analytical method. A sequential recurrent procedure has been developed for the analytical solution of this class of nonlinear equations.