Recent Submissions

  • Rotationally-axisymmetric Motion of a Binary Mixture with a Flat Free Boundary at Small Marangoni Numbers 

    Andreev, Victor K.; Sobachkina, Natalya L.; Андреев, Виктор К.; Собачкина, Наталья Л. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    Rotationally-axisymmetric motion of a binary mixture with a flat free boundary at small Marangoni numbers is investigated. The problem is reduced to the inverse linear initial-boundary value problem for parabolic equations. ...
  • A Recursive Algorithm for Estimating the Correlation Matrix of the Interference Based on the QR Decomposition (RETRACTED) 

    Tyapkin, Valery N.; Dmitriev, Dmitry D.; Gladyshev, Andrey B.; Zverev, Peter Yu.; Тяпкин, Валерий Н.; Дмитриев, Дмитрий Д.; Гладышев, Андрей Б.; Зверев, Пётр Ю. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    Many tasks of digital signal processing require the implementation of matrix operations in real time. These are operations of matrix inversion or solving systems of linear algebraic or dif- ferential equations (Kalman ...
  • On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function 

    Kuzovatov, Vyacheslav I.; Kytmanov, Alexander M.; Sadullaev, Azimbai; Кузоватов, Вячеслав И.; Кытманов, Александр М.; Садуллаев, Азимбай (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    We consider an application of the Plan formula to the study of the properties of the zeta- function of zeros of entire function. Based on this formula, we obtained an explicit expression for the kernel of the integral ...
  • Ideals Generated by Differential Equations 

    Kaptsov, OlegV.; Капцов, Олег В. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    We propose a new algebraic approach to study compatibility of partial differential equations. The approach uses concepts from commutative algebra, algebraic geometry and Gr¨obner bases to clarify crucial notions concerning ...
  • Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition 

    Didi, Hana; Khodja, Brahim; Moussaoui, Abdelkrim; Диди, Хана; Ход, Брахим; Муссауи, Абделькрим (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    In this paper we establish existence, nonexistence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution ...
  • Asymptotic Analysis of Retrial Queueing System M/M/1 with Impatient Customers, Collisions and Unreliable Server 

    Danilyuk, Elena Yu.; Moiseeva, Svetlana P.; Sztrik, Janos; Данилюк, Елена Ю.; Моисеева, Светлана П.; Стрик, Янош (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    The retrial queueing system of M=M=1 type with Poisson flow of arrivals, impatient cus- tomers, collisions and unreliable service device is considered in the paper. The novelty of our contribution is the inclusion of ...
  • Root Locus of Algebraic Equations 

    Bykov, Valeriy I.; Tsybenova, Svetlana B.; Быков, Валерий И.; Цыбенова, Светлана Б. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    The locus of real and complex roots of algebraic equations are constructed in this paper. Calculations of specific equations show that the location of their roots depends on the type of equation
  • Anisotropic Antiplane Elastoplastic Problem 

    Senashov, Sergei I.; Savostyanova, Irina L.; Cherepanova, Olga N.; Сенашов, Сергей И.; Савостьянова, Ирина Л.; Черепанова, Ольга Н. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    In this work we solve an anisotropic antiplane elastoplastic problem about stress state in a body weakened by a hole bounded by a piecewise-smooth contour. We give the conservation laws which allowed us to reduce ...
  • First-Order Methods With Extended Stability Regions for Solving Electric Circuit Problems 

    Rybkov, Mikhail V.; Knaub, Lyudmila V.; Khorov, Danil V.; Рыбков, Михаил В.; Кнауб, Людмила В.; Хоров, Данил В. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    Stability control of Runge-Kutta numerical schemes is studied to increase efficiency of in- tegrating stiff problems. The implementation of the algorithm to determine coefficients of stability polynomials with the use ...
  • E-closed Sets of Hyperfunctions on Two-Element Set 

    Panteleyev, Vladimir I.; Riabets, Leonid V.; Пантелеев, Владимир И.; Рябец, Леонид В. (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    Hyperfunctions are functions that are defined on a finite set and return all non-empty subsets of the considered set as their values. This paper deals with the classification of hyperfunctions on a two-element set. We ...
  • The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones 

    Lyapin, Alexander P.; Chandragiri, Sreelatha; Ляпин, Александр П.; Чандрагири, Шрилатха (Сибирский федеральный университет. Siberian Federal University, 2020-03)
    We consider a variant of the Cauchy problem for a multidimensional difference equation with constant coefficients, which connected with a lattice path problem in enumerative combinatorial analysis. We obtained a formula ...