TITLE:
Computational Methods in the Theory of Synthesis of Radio and Acoustic Radiating Systems
AUTHORS:
Petro Savenko
KEYWORDS:
Nonlinear Inverse Problems; Synthesis of Radiating Systems; Nonlinear Equations of Hammerstein Type;Branching of Solutions; Nonlinear Two-Parameter Spectral Problem; Localization of Solutions; Numerical Methods and Algorithms; Convergence of Iterative Processes
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.3,
March
27,
2013
ABSTRACT: A brief review of the works of the author and his co-authors on the application of nonlinear analysis, numerical and analytical methods for solving the nonlinear inverse problems (synthesis problems) for optimizing the different types of radiating systems, is presented in the paper. The synthesis problems are formulated in variational statements and further they are reduced to research and numerical solution of nonlinear integral equations of Hammerstein type. The existence theorems are proof, the investigation methods of nonuniqueness problem of solutions and numerical algorithms of finding the optimal solutions are proved.