Title :
Implicit Function Method in Nonlinear Spectral Problems, Arising in the Antennas Synthesis Theory
Author :
Protsakh, L. ; Savenko, P. ; Tkach, M.
Author_Institution :
National Acad. of Sci., Pidstryhach Inst. for Appl. Problems of Mech. & Math., Lviv
Abstract :
The two-dimensional nonlinear spectral problem on eigenvalues is reduced to investigation and numerical solution of the Cauchy problem for the first order linear differential equation by implicit function method
Keywords :
antenna radiation patterns; antenna theory; differential equations; eigenvalues and eigenfunctions; 2D nonlinear spectral problem; Cauchy problem; antennas synthesis theory; eigenvalues; first order linear differential equation; implicit function method; Antenna theory; Aperture antennas; Bifurcation; Differential equations; Eigenvalues and eigenfunctions; Hilbert space; Integral equations; Mathematics; Nonlinear equations; Symmetric matrices;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689720