Title :
About one method of solution of nonlinear spectral problems, arising in antenna synthesis theory
Author :
Savenko, P. ; Tkach, M. ; Protsakh, L.
Author_Institution :
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, 3-B, Naukova Str., 79601, Lviv-MSP, Ukraine
Abstract :
A variational method for solution of the nonlinear vector spectral problem for the case of linear self-adjoint positively semi-definite operators functioning in real Hilbertian spaces with nonlinearly included spectral parameters, is stated in the report. Such problems arise, in particular, at studying the solutions to the problems of nonlinear radiating systems synthesis.
Keywords :
Antenna theory; Aperture antennas; Differential equations; Eigenvalues and eigenfunctions; Integral equations; Kernel; Mathematics; Nonlinear equations; Vectors;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2004. 10th International Conference on
Conference_Location :
Dniepropetrovsk, Ukraine
Print_ISBN :
0-7803-8441-5
DOI :
10.1109/MMET.2004.1397083
