Nonlinear Optimization Problems of Antenna Design with Restriction on a Solution

The optimization problem with the restriction on the function, which is sought for, is considered in the variational statement. This restriction has a physical sense and it consists of equality of the norms of the objective and obtained functions. The variational statement of the optimization problems allows getting the nonlinear integral equation, which is solved effectively by the method of successive approximations. The study of the solution to this equation makes possible to get the different solutions and to choose that is simpler for the practical engineering realization.