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  • Jacobian Conjecture for Mappings of a Special Type in C² 

    Stepanova, Maria A.; Степанова, Мария А. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We show that a polynomial mapping of the type (x!F[x+f(a(x)+b(y))]; y!G[y+g(c(x)+d(y))]), where (a; b; c; d; f; g; F;G) are polynomials with non-zero Jacobian is a composition of no more than 3 linear or triangular ...
  • Optimal Formulas of Numerical Integration with Derivatives in Sobolev Space 

    Shadimetov, Kholmat M.; Nuraliev, Farhod A.; Шадиметов, Холмат М.; Нуралиев, Фарход А. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    The problem of construction of optimal quadrature formulas in the sense of Sard in the space L(m) 2 (0; 1) is considered in the paper . The quadrature sum consists of values of the integrand at internal nodes and values ...
  • Global Solvability of the One-dimensional Inverse Problem for the Integro-differential Equation of Acoustics 

    Safarov, Jurabek Sh.; Сафаров, Журабек Ш (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    The hyperbolic integro–differential acoustic equation is considered. Direct problem is to find the acoustic pressure from the initial - boundary value problem for this equation with point source located on the boundary ...
  • Study of the Non-isothermal Coupled Problem with Mixed Boundary Conditions in a Thin Domain with Friction Law 

    Saadallah, Abdelkader; Benseridi, Hamid; Dilmi, Mourad; Саадалах, Абделкадер; Бенсериди, Хамид; Дилми, Моурад (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    This paper deals with the asymptotic behavior of a coupled system involving of an incompressible Bing- ham fluid and the equation of the heat energy, in a three-dimensional bounded domain with Tresca free boundary friction ...
  • Construction of Szeg˝o and Poisson Kernels in Convex Domains 

    Myslivets, Simona G.; Мысливец, Симона Г. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    In this paper, we construct Szeg˝o and Poisson kernels in convex domains in Cn and study their properties
  • Permanents as formulas of summation over an algebra with a unique n-ary operation 

    Egorychev, Georgy P.; Егорычев, Георгий П. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We give a new general definition for permanents over an algebra with a unique n-ary operation and study their properties. In particular, it is shown that properties of these permanents coincide with the basic properties ...
  • Multidimensional Free Interpolation Framework for High-precision Modeling of Slant Total Electron Contents in Mid-latitude and Equatorial Regions 

    Tsarev, Sergey P; Denisenko, Valery V.; Valikhanov, Marat M.; Царев, Сергей П.; Денисенко, Валерий В.; Валиханов, Марат М. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    Standard models of ionospheric delays have errors of order 1–8 TECU (standard total electron content units). On the basis of the free interpolation framework we propose a new simple model of the slant TEC distributions ...
  • The Calculation of Magnetoresistance Coefficient for Multilayer Magnetic Structures 

    Romanovskiy, Dmitriy E.; Prudnikov, Vladimir V.; Prudnikov, Pavel V.; Романовский, Дмитрий Е.; Прудников, Владимир В.; Прудников, Павел В. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We performed a simulations of magnetic properties for the multilayer structures Fe/Cr/Fe and Co/Cu/Co using the Monte Carlo methods and the anisotropic Heisenberg model. The calculation of magnetoresistance coefficient ...
  • Theoretical Study of Atomic Structure of Solid Solution Al₁₋ ₓScₓNin 

    Bondarenko, Svetlana A.; Sorokin, Boris P.; Sorokin, Pavel B.; Бондаренко, Светлана А.; Сорокин, Борис П.; Сорокин, Павел Б. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    The features of atomic structure of Al₁₋ ₓScₓNin the whole Sc concentration were studied using ab initio DFT approach. The possible segregation of AlN and ScN phases in a solid solution was investigated and results were ...
  • Decomposition of Functions of Finite Analytical Complexity 

    Beloshapka, Valery K.; Белошапка, Валерий К. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    Functions of two variables can be obtained from functions of one variable by substitutions and additions. Each composition scheme corresponds to a class of functions of two variables, such that they can be represented ...
  • Singular Points of Complex Algebraic Hypersurfaces 

    Antipova, Irina A.; Mikhalkin, Evgeny N.; Tsikh, Avgust K.; Антипова, Ирина А.; Михалкин, Евгений Н.; Цих, Август К. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We consider a complex hypersurface V given by an algebraic equation in k unknowns, where the set A Zk of monomial exponents is fixed, and all the coefficients are variable. In other words, we consider a family of ...
  • Coefficient Multipliers for the Privalov class in a Disk 

    Rodikova, Eugenia G.; Родикова, Евгения Г. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We obtain exact estimates of the growth and the Taylor coefficients of analytic functions from the Privalov classes in the unit disk. Also we describe coefficient multipliers from the Privalov classes into the Hardy classes.
  • The Cauchy Problem for Multidimensional Difference Equations and the Preservation of the Hierarchy of Generating Functions of its Solutions 

    Leinartas, Evgeny K.; Yakovleva, Tatiana I.; Лейнартас, Евгений К.; Яковлева, Татьяна И. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    We study the dependence of the properties of the generating function of the solution of the Cauchy problem on the properties of the generating function of the initial data for a difference equation with constant coefficients ...
  • Self-assembly of Three Nanoparticles in Structures with a Predetermined Geometry Controlled by Quasiresonant Laser Fied 

    Kornienko, Viktoria S.; Tsipotan, Aleksey S.; Slabko, Vitaliy V.; Корниенко, Виктория С.; Ципотан, Алексей С.; Слабко, Виталий В. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    In the paper a dynamic model of self-assembly of nanoparticles under laser field is proposed for research the possibility of a step-by-step assembly of a structure consisting of three particles with different form. The ...
  • Existence and Uniqueness of the Solution for Volterra-Fredholm Integro-Differential Equations 

    Hamoud, Ahmed A.; Ghadle, Kirtiwant P.; Хамоуд, Ахмед А.; Гхадл, Киртиуиант П. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    In this article, modified Adomian decomposition method is successfully applies to find the approximate so- lutions of Volterra-Fredholm integro-differential equations. Moreover, we prove the existence and unique- ness ...
  • Prym Differentials and Teichm¨uller Spaces 

    Chueshev, Alexander V.; Chueshev, Victor V.; Чуешев, Александр В.; Чуешев, Виктор В. (Сибирский федеральный университет. Siberian Federal University, 2018-12)
    In this article we study multiplicative meromorphic functions and differentials on Riemann surfaces of finite type. We proved an analogue of P. Appell’s formula on decomposition of multiplicative functions with poles of ...
  • On the Fredholm property for the steady Navier-Stokes equations in weighted H¨older spaces 

    Parfenov, Andrei A.; Shlapunov, Alexander A.; Парфенов, Андрей А.; Шлапунов, А.А. (Сибирский федеральный университет. Siberian Federal University, 2018-10)
    We prove that the steady Navier-Stokes equations induce a Fredholm non-linear map on the scale of H¨older spaces weighted at the infinity
  • Identification of Multidimensional Technological Processes with Dependent Input Variables 

    Medvedev, Alexander V.; Mihov, Eugene D.; Ivanov, Nikolay D.; Медведев, Александр В.; Михов, Евгений Д.; Иванов, Николай Д. (Сибирский федеральный университет. Siberian Federal University, 2018-10)
    In the article the problem of identification of multidimensional technological processes is studied. The question of modelling H-processes with several output variables is considered. A method of analysis of the training ...
  • Noise-induced Chemical Chaos. Basic Kinetic Model and its Parametric Analysis 

    Tsybenova, Svetlana B.; Bykov, Valeriy I.; Trotsenko, Luidmila S.; Цыбенова, Светлана Б.; Быков, Валерий И. (Сибирский федеральный университет. Siberian Federal University, 2018-10)
    The basic model of non-stationary behaviour of a catalytic system is proposed. Parameters range is determined wherein oscillations are observed. It is shown that when parameters exceed the range small fluctuations of ...
  • Nonlinear Methods of Statistical Analysis of Dynamics of the Tracking Systems in Radio Receivers 

    Mironov, Vladimir A.; Dmitriev, Dmitriy D.; Tyapkin, Valeriy N.; Ershov, Aleksey Yu.; Миронов, Владимир А.; Дмитриев, Дмитрий Д.; Тяпкин, Валерий Н.; Ершов, Алексей Ю. (Сибирский федеральный университет. Siberian Federal University, 2018-10)
    The article assesses the criteria ratios (required protection ratios) of the signal / noise that ensure the functioning of the radio receiving device in conditions of a noise immunity deficit with a probability of not ...

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