Title :
Generalized nonlinear integral equation of hammerstein type
Author :
Bulatsyk, O.O. ; Topolyuk, Y.P. ; Voitovich, N.N.
Author_Institution :
Pidstryhach Inst. of Appl. Problems of Mech. & Math., Ukrainian Nat. Acad. of Sci., Lviv, Ukraine
Abstract :
A nonlinear integral equation generalizing that arisen in the antenna synthesis problems is investigated. The semi-analytical solutions are found. They parameters are determined from an equation system consisting of a linearized integral equation and finite-dimensional system of transcendental ones. Branching of the solution is investigated. A particular case related to Fourier transform is numerically analyzed.
Keywords :
Fourier transforms; antenna theory; integral equations; Fourier transform; Hammerstein type; antenna synthesis problem; finite-dimensional system; generalized nonlinear integral equation; linearized integral equation; Eigenvalues and eigenfunctions; Fourier transforms; Integral equations; Mathematics; Nonlinear equations; Polynomials;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2009. DIPED 2009. International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-1-4244-4201-0
DOI :
10.1109/DIPED.2009.5306949
