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

fYear

2014

fDate

22-25 Sept. 2014

Firstpage

151

Lastpage

153

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/DIPED.2014.6958353

Filename

6958353