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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

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