Title :
System of integro-transcendetnal equations in case of vanishing solution of free phase problem
Author :
Bulatsyk, O.O. ; Topolyuk, Yu P. ; Tupychak, I.V.
Author_Institution :
Pidstryhach Inst. for Appl. Problems in Mech. & Math., Lviv, Ukraine
Abstract :
A nonlinear integral equation of Hammerstein type arising in the so called modified phase problem is considered. Solutions of the equation are represented by means of polynomials of finite degree describing zeros of these solutions. For the case of solutions vanishing in the considered interval, new system of transcendental and integral equations is obtained.
Keywords :
integral equations; nonlinear equations; polynomials; Hammerstein type; free phase problem; integro-transcendental equation; modified phase problem; nonlinear integral equation; polynomial; vanishing solution; Conferences; Integral equations; Mathematical model; Nonlinear equations; 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
