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Application of multidimensional residues theory to determining number of solutions of transcendental equation systems arisen in phase optimization problems

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1 Author(s)
Bulatsyk, O.O. ; Pidstryhach Inst. of Appl. Problems of Mech. & Math., Lviv, Ukraine

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.

Published in:
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on

Date of Conference: 26-29 Sept. 2011

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