Математика и физика. Mathematics & Physics. 2019 12 (3)
Ресурсы коллекции
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Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains
(Сибирский федеральный университет. Siberian Federal University, 2019-06)This article deals with the heat equation @tu @2x u = f in D; D = {(t; x) 2 R2 : a < t < b; (t) < x < +1} with the function satisfying some conditions and the problem is supplemented with boundary conditions of ... -
A Class of Local Linear Estimators with Functional Data
(Сибирский федеральный университет. Siberian Federal University, 2019-06)We introduce a local linear nonparametric estimation for the generalized regression function of a scalar response variable given a random variable taking values in a semi metric space. We establish a rate of uniform ... -
Ill-posed Boundary-value Problem for a System of Partial Differential Equations with Two Degenerate Lines
(Сибирский федеральный университет. Siberian Federal University, 2019-06)This paper is devoted to the investigation of ill-posed boundary-value problem for system of parabolic type equations with changing time direction with two degenerate lines. The problem under consideration is ill-posed ... -
Theoretical Study of Mechanical, Elastic and Phonon Frequency Spectrum Properties for GaAs at High Pressure
(Сибирский федеральный университет. Siberian Federal University, 2019-06)The calculations for variations of bulk modulus (B), compression volume (Vp Vo ); lattice constant and phonon frequency spectrum (pfs) under high pressure up to 17 GPa at room temperature has been carried out. Three ... -
The Highest Dimension of Commutative Subalgebras in Chevalley Algebras
(Сибирский федеральный университет. Siberian Federal University, 2019-06)Let L (K) denotes a Chevalley algebra with the root system over a field K. In 1945 A. I. Mal’cev investigated the problem of describing abelian subgroups of highest dimension in complex simple Lie groups. He solved this ... -
Group Analysis of Equations of Hydrostatic Model of Viscous Fluid
(Сибирский федеральный университет. Siberian Federal University, 2019-06)The group properties of three-dimensional equations of hydrostatic model of viscous fluid are studied. Several exact solutions are presented. The free surface of fluid and pressure on this surface are deter- mined -
An Elementary Algorithm for Solving a Diophantine Equation of Degree Fourth with Runge’s Condition
(Сибирский федеральный университет. Siberian Federal University, 2019-06)We propose an elementary algorithm for solving the diophantine equation (p(x; y) + a1x + b1y)(p(x; y) + a2x + b2y)- dp(x; y)- a3x - b3y -c = 0 ( *) of degree fourth, where p(x; y) denotes an irreducible quadratic form ... -
On Decomposition of a Binary Context Without Losing Formal Concepts
(Сибирский федеральный университет. Siberian Federal University, 2019-06)The #P-complete problem of finding all the formal concepts of a given context and the decomposition method for its solving are investigated. As parts of the decomposition is proposed to use fragments of the initial ... -
Carleman Formula for the Maxwell Equation in a Cap Type Domain
(Сибирский федеральный университет. Siberian Federal University, 2019-06)We consider a Cauchy problem for the Maxwell equations in a cap type domain X in R3. We find reasonable solvability conditions and a Carleman formula for its solution -
A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle
(Сибирский федеральный университет. Siberian Federal University, 2019-06)Various physical, ecological, economic, etc phenomena are governed by planar differential systems. Sub- sequently, several research studies are interested in the study of limit cycles because of their interest in the ... -
A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps
(Сибирский федеральный университет. Siberian Federal University, 2019-06)A class of topological equivalent generalized interval exchange maps of genus one and of the same bounded combinatorics is considered in the paper. A sufficient condition for absolute continuity of the conjugation between ... -
Two-dimensional Plane Thermocapillary Flow of Two Immiscible Liquids
(Сибирский федеральный университет. Siberian Federal University, 2019-06)The problem of two-dimensional stationary flow of two immiscible liquids in a plane channel with rigid walls is considered. A temperature distribution is specified on one of the walls and another wall is heat- insulated. ... -
On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data
(Сибирский федеральный университет. Siberian Federal University, 2019-06)We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved -
Vector Bundle of Prym Differentials over Teichm¨uller Spaces of Surfaces with Punctures
(Сибирский федеральный университет. Siberian Federal University, 2019-06)In this paper we study multiplicative meromorphic functions and differentials on Riemann surfaces of finite type. We prove an analog of P. Appell’s formula on decomposition of multiplicative functions with poles of ...