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Information × Registration Number 0203U002143, 0100U001427 , R & D reports Title Conctruction and research of iterative methods for solving nonliner functional equations, dynamic systems and optimization problems. popup.stage_title Head Prytula Mykola Mykolayovych, Registration Date 29-01-2003 Organization Ivan Franko Lviv National University. Faculty of the finance and credit popup.description2 . Purpose of the work: development and research of nonlinear dynamic systems and their reductions, research of integrity with use of the language of analytical evaluations, construction and investigation of new classes of algorithms for solution of the nonlinear equations extremum problems. The organization of a research was carried out in вnext directions: study of finite-dimensional reductions of a Mozer's type for a dynamic system of Burgers and their integrity by Liuvill-Arnold. 2. The numerical method of a solution of a initial-boundary value problem for the equation Burgers is offered, the substantiation it of convergence and stability is reduced; the influence of white noise to distribution of the separated wave is investigated. 3. The modification of the Gauss-Newton method for a solution of the nonlinear problem of leastsquares, and also new method of a solution of system of equationses and inequalities is offered. 4. The iterative methods are offered, in which on each iteration instead of asolution of systems of the linear algebraic equations the approximation of an inverse of an operator is carried out. 5. The problem of a solution of the nonlinear problem of leastsquares with application artificial neuron of webs is considered.5635 Product Description popup.authors popup.nrat_date 2020-04-02 Close