Now showing items 1-16 of 16

    • 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 ...
    • 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
    • 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 ...
    • 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.
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...