On the Mutual Transformation of the Types of Solutions of one Class of Nonlinear Hammerstein Integral Equations

Аннотация

We consider a class of nonlinear integral equations encountered in optimization phase problems (e.g., in antenna-synthesis problems, problems of optimization of the energy transfer lines, etc.) and admitting analytic solutions. These solutions either have roots in the domain of their definition or do not have roots. We study the problem of possibility of the transformation of one type of solutions into another type of solutions.