Title :
Implicit Function Method in Solving of Nonlinear Two-Dimensional Spectral Problem
Author :
Savenko, P.O. ; Tkach, M.D. ; Protsakh, L.P.
Author_Institution :
Pidstryhach Inst. for Appl. Problem of Mech. & Math., Nat. Acad. of Sci. of Ukraine, Lviv
Abstract :
The method of solving of the nonlinear two-dimensional spectral eigenvalue problem is based on reduction of such problem to solving the corresponding Cauchy problem for the linear differential equation of the first order, is developed
Keywords :
eigenvalues and eigenfunctions; linear differential equations; nonlinear differential equations; Cauchy problem; eigenvalue problem; implicit function method; linear differential equation; nonlinear two-dimensional spectral problem; Antenna theory; Aperture antennas; Differential equations; Eigenvalues and eigenfunctions; Hilbert space; Integral equations; Kernel; Mathematics; Physics; Vectors;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings of XIth International Seminar/Workshop on
Conference_Location :
Tbilisi, Georgia
Print_ISBN :
966-02-3873-8
DOI :
10.1109/DIPED.2006.314317