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Information × Registration Number 0215U003392, 0110U001442 , R & D reports Title The analytic theory of the branched continued fractions and applications of the computer algebra, of the differentials equations and of the E-busines modeling. popup.stage_title Head Bodnar Dmitro Ilkovich, Registration Date 29-01-2015 Organization Ternopol National Economic University popup.description2 Object of researching is branched continued fractions, the differential equations with partial derivatives, the economic-mathematical models describing the economic problem. The subject of the investigations the properties, convergence criteria of branched continued fractions, unique of solvability, the properties of localization and periodicity of solutions of the Cauchy problem, the construction of new numerical schemes for solving unconditioned systems of linear algebraic equations, which are used in economic modeling. The purpose of the researching is submit the construction of multidimensional generalizations Furshtenau fractions, establishing the convergence criteria of 1-periodic of branched continued fractions, the creating the methods for solving unconditioned systems of linear algebraic equations, systems of symbolic elements and their use in economic modeling, the researching of properties of solutions of differential equations with partial derivatives. Research method - methods of the theory of functions of complex variable, analytic theory of branched continued fractions, differential equations with partial derivatives, computational mathematics, economics and mathematical modeling. It is necessary to solve the following tasks to achieving this goal: construct and investigate the n-dimensional generalization of Furstenau fractions, submit the sets of point wise and uniform convergence of 1-periodic branched continued fractions the special form, build method for solving unconditioned systems of linear algebraic equations in the Leontiev model; consider general algorithms of symbol systems with densely filled matrix, to obtain more accurate forecasting of the autocorrelation line by using the proposed economic computational schemes and taking into account Teplits matrix method, to research ways of improving the investment Internet-shops, unique solvability set and investigate the localization properties of solutions of the Cauchy problem for degenerate Kolmogorov equations, analyze periodic solutions of hyperbolic equations. Product Description popup.authors Боднар Ірина Володимирівна Бубняк Марія Миколаївна Возняк Ольга Григорівна Ковальчук Ольга Ярославівна Семчишин Ліда Михайлівна Хома Надія Григорівна popup.nrat_date 2020-04-02 Close