Title :
Application of multidimensional residues theory to determining number of solutions of transcendental equation systems arisen in phase optimization problems
Author_Institution :
Pidstryhach Inst. of Appl. Problems of Mech. & Math., Lviv, Ukraine
Abstract :
The subject of investigation is to determine the number of solutions to the system of transcendental equations related to a class of nonlinear integral equations of Hammerstein type with separated argument (phase) of unknown function. Such systems have arisen particularly in the phase optimization problems. The numerical algorithm is constructed and demonstrated on an example of equation of two complex unknowns.
Keywords :
integral equations; nonlinear equations; optimisation; Hammerstein type; multidimensional residues theory; nonlinear integral equation; phase optimization problem; transcendental equation system; Acoustic waves; Antennas; Integral equations; Mathematical model; Optimization; Polynomials;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-1-4577-0897-8
