Chumachenko S. Modeling nonlinear objects with the distributed parameters on the basis of reproducing kernels

The thesis is devoted to the importatnt scientific and technical problem of modeling non-linear objects with distributed parameters by development of a new analytical method of series summation in the Reproducing Kernel Hilbert Space (RKHS). The basic scientific results: the structural hierarchy of spaces is advanced, the new analytical method of exact series summation in RKHS is proposed, the basic theoretical positions consirnes to a method of series summation in RKHS are proved, analytical decisions of boundary electrodynamic problems of the analysis of an electromagnetic field are obtained, the method of the boundary electrodynamic problems of modelling vaweguide and cavity devices is advanced, models of electromagnetic waves diffraction with use of a method of series summation in RKHS are advanced.