Title :
Complex vanishing solutions to nonlinear integral equation related to modified phase problem
Author :
Bulatsyk, O.O. ; Topolyuk, Yu P. ; Tupychak, I.V.
Author_Institution :
Pidstryhach Inst. for Appl. Problems in Mech. & Math., NASU, Lviv, Ukraine
Abstract :
A nonlinear integral equation of Hammerstein type arising in the so-called modified phase problem is considered. The complex vanishing solutions to this equation are investigated. Solutions of the equation are represented by means of polynomials of finite degree. Consistency of previously defined system of transcendental equations for parameters of the polynomials is proved. Numerical results are analyzed for concrete examples.
Keywords :
integral equations; nonlinear equations; numerical analysis; polynomials; Hammerstein type; complex vanishing solutions; finite degree polynomials; modified phase problem; nonlinear integral equation; polynomial parameters; transcendental equations; Acoustic waves; Electromagnetic scattering; Integral equations; Inverse problems; Mathematical model; Polynomials;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4244-7790-6
Electronic_ISBN :
978-966-02-5654-5
