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Information × Registration Number 0207U004078, 0104U002325 , R & D reports Title Development of the theory of branched continued fractions, construction of numerical and analitical methods for solving of differential equations popup.stage_title Head Kostrobij Petro Petrovich, Registration Date 26-01-2007 Organization Lviv Polytechnic National University popup.description2 New sufficient conditions of convergence, the form of the sets of absolute and relative stability of approximants' sequences for numerical branched continued fractions (BCF) of various structures with real and complex elements are established. Also, it is constructed and investigated the expansions some quotients of degenerated hypergeometric functions of two variables in BCF. The fundamental matrix of Cauchy's problem solution for parabolic system with degeneration on the initial hyperplane is constructed and investigated its properties and properties of volume potentials resulted by it. The integral representations of solutions are constructed. The exact treepointed difference schemes of high-accuracy order are constructed for numerical solving of nonlinear boundary problems at a finite interval and half-line for ordinary differential equations, existance and uniqueness of the solution and the degree of such schemes' convergence are investigated. Product Description popup.authors popup.nrat_date 2020-04-02 Close