P. Savenko and M. Tkach, “Numerical Solution of Mean-Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral,” Applied Mathematics, Vol. 2, No. 2, 2011, pp. 1076-1090. doi:10.4236/am.2011.29149

has been cited by the following article:

• 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.