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About Approximation Multinominals, Orthogonal on Any Grids

Authors: Nurmagomedov А. А.

In this work are investigated approximation properties of multinominals pˆn(x), orthogonal with weight ∆tj on the any grids consisting of final number of points of a piece [−1, 1]. Namely the approximation formula, in which is established at increase n together with N, approximation behaviour of these multinominals close to approximation behaviour of multinominals Lasiandra.

Numeric Investigation of a Curve Piecewise-Homogeneous Rectangular Plate from an Isotropic Material

Authors: Nedorezov P. F., Romakina О. М.

In this paper we consider the problem of a curve piecewise-homogeneous rectangular plate from an isotropic material. There are two group of condition on the line of a contact: geometric conditions,describing the continuity and smoothness of midsurfase of composite plate and force conditions, which supply the equality of bending moments and generalized cutting forces in the left and in the right parts of the plate.

O РАЗРЕШИМОСТИ ОБРАТНОЙ ЗАДАЧИ ШТУРМА – ЛИУВИЛЛЯ В СИММЕТРИЧНОМ СЛУЧАЕ

Authors: Mazur T. V.

Necessary and sufficient conditions are provided for the solvability of the inverse problem of recovering Sturm – Liouville operator from its spectrum in the central symmetry case.

Conditions for Functions on Semilattices to be Realized by Networks with Stable Behaviour under Hazards

Authors: Pankratova I. A.

The notion of functional stability under hazards is introduced for networks realizing functions defined on finite upper semilattices. Some constructive conditions are established for such functions to be realized by stable networks composed of any elements or of transistors and switches.

About One Approach to the Reconstruction of Behavior of Finite Automaton with Circularity of the Change of States

Authors: Ermoshina O. S.

The article deals with one of the possible approaches to the problem of reconstruction of determined finite automaton behavior, based on the information about the current (defective) and specified (correct) laws of functioning with the help of periodic sequences. A model of finite automaton circularity was built for the purpose of analyzing the behavior of a finite automaton in a circularity mode.

On Laguerre Expansions Summability by the Linear Methods

Authors: Burmistrova M. D.

This paper studies a problem of Laguerre expansions summability via methods defined by triangular matrices. The conditions on a matrix and an expandable function are obtained to guarantee the convergence of corresponding linear means at the Lebesgue point t = 0.

Three-Element Boundary Value Problem of Riemann Type for Metaanalytical Functions in a Circle

Authors: Alekseenkov V. V., Rasulov K. M.

The article is devoted to the investigation of three-element boundary value problem of Riemann type for metaanalytical functions. A constructive method for solution of the problem in a circle was found. It is established that solution of the problem generally consists of solutions of two generalized and two usual scalar boundary value problems of Riemann for analytical functions in a circle.

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