Title :
Generalization of an integro-transcendetnal equation system with vanishing solutions in free phase problem
Author :
Bulatsyk, Olena O. ; Topolyuk, Yuriy P.
Author_Institution :
Pidstryhach Inst. for Appl. Problems of Mech. & Math., Lviv, Ukraine
Abstract :
The nonlinear integral equation of Hammerstein type with the linear dependence of the argument of unknown function and nonlinear dependency on its modulus is considered. Solutions of this equation are represented by means of polynomials of finite degree describing, in particular, zeros of these solutions. For the case of solutions vanishing in the considered interval, new system of integro-transcendental equation is obtained.
Keywords :
integral equations; nonlinear equations; polynomials; Hammerstein type; finite degree describing; free phase problem; integrotranscendetnal equation system; nonlinear integral equation; nonlinear modulus dependency; polynomial; Antenna radiation patterns; Conferences; Electromagnetics; Integral equations; Polynomials; Seminars; Finite-parametric solutions; integro-transcendental equation system; nonlinear integral equation of Hammerstein type; polynomial representation of solutions; vanishing solution;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2014 XIXth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4799-6213-6
DOI :
10.1109/DIPED.2014.6958353
