SibFU Digital Repository: Новые ресурсы
Отображаемые элементы 1-20 из 63223
-
Jacobian Conjecture for Mappings of a Special Type in C²
(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
(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
(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
(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
(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
(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
(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 ...