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  • On a Transversality Condition for One Variation Problem with Moving Boundary 

    Gladkov, Sergey O.; Гладков, Сергей О. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    We give an algorithm to obtain a transversality condition for one variation problem with a moving boundary when a functional contains derivatives of order n of functions of one variable. A mathematical justification of ...
  • The Critical Curves of a Doubly Nonlinear Parabolic Equation in Non-divergent form with a Source and Nonlinear Boundary Flux 

    Aripov, Mersaid M.; Paimbekov, Jakhonogir R.; Арипов, Мирсаид М.; Раимбеков, Жахонгир Р. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux are considered in the paper. The critical global existence curve and the critical Fujita curve ...
  • Magnetic Properties of Fe₁₋ₓCoₓSi Single Crystals at Low Co Impurity Concentrations 

    Yurkin, Gleb Yu.; Patrin, Gennady S.; Yarikov, Stanislav A.; Юркин, Глеб Ю.; Патрин, Геннадий С.; Яриков, Станислав А. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    Magnetostatic properties of FeSi and Fe0;98Co0;02Si single crystals have been studied. It has been found that the temperature and field dependences of the magnetization of monocrystal FeSi are strongly affected by ...
  • Opto-acoustic and Acoustic Microscopy Studies of Microstructure, Elasticity and Defects in B₄C/C₆₀ and c-BN/C₆₀ Nanocomposites 

    Prokhorov, Vyacheslav M.; Morokov, Egor S.; Ovsyannikov, Danila А.; Прохоров, Вячеслав М.; Мороков, Егор С.; Овсянников, Данил А. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    Carbon-ceramic nanocomposites based on boron carbide with fullerene C60 (B4C/C60) and cubic boron nitride with C60 (c-BN/C60) were prepared by a high-energy ball milled pre-treatment of the initial mixture of components ...
  • Extensions of Boolean Rings and Nearrings 

    Nayak, Hamsa; Kuncham, Syam P.; Kedukodi, Babushri S.; Наяк, Хамса; Кунчам, Сям П.; Кедукоди, Бабушри С. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic ...
  • Navier-Stokes Equations for Elliptic Complexes 

    Mera, Azal; Shlapunov, Alexander A.; Tarkhanov, Nikolai; Мера, Азал; Шлапунов, Александр А.; Тарханов, Николай (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam´e system, on manifold with boundary. To this end we interpret them in terms of the de ...
  • Pseudospectral Methods for Nonlinear Pendulum Equations 

    Anh Nhat, Le; Ань Ньат, Лe (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    The article searched on mathematics and numerical solutions for the nonlinear pendulum (Chaotic pen- dulum). The numerical solution that was used for our research suitably the pseudospectral methods. With these equations, ...
  • One Proof of the Fundamental Theorem of Algebra (of Polynomials) 

    Khodos, Olga V.; Ходос, Ольга В. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    One proof of the fundamental theorem of algebra (of polynomials) is given, based on the theorem on the number of zeros of an entire function
  • On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process 

    Imomov, Azam А.; Tukhtaev, Erkin E.; Имомов, Азам А.; Тухтаев, Эркин Э. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    We investigate an application of slowly varying functions (in sense of Karamata) in the theory of Galton- Watson branching processes. Consider the critical case so that the generating function of the per-capita offspring ...
  • Chaotic Dynamics of a Three-dimensional Endomorphism 

    Gharout, Hacene; Akroune, Nourredine; Taha, Abelkadous; Prunaret, Daniele-Fournier; Гаро, Хасен; Акроун, Ноуpедин; Таха, Абелкадоус; Прунаре, Даниел-Фоурниер (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    The present work describes the phases plane bifurcations of some attractors given by a noninvertible three-dimensional map. This study is conducted through the critical manifolds concepts, generalization of critical ...
  • Core-shell Nanosize Particles Mg@Ni: Synthesis and Properties 

    Churilov, Grigory N.; Nikolaev, Nikita S.; Osipova, Irina V.; Cherepakhin, Alexander V.; Nemtsev, Ivan V.; Velikanov, Dmitriy A.; Andyuseva, Valentina G.; Чурилов, Григорий Н.; Николаев, Никита С.; Осипова, Ирина В.; Черепахин, Александр В.; Немцев, Иван В.; Великанов, Дмитрий А.; Андюсева, Валентина Г. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    In this paper, we study particles with metallic core (magnesium) – metal shell (nickel) structure, syn- thesized in metal-containing plasma of high frequency arc discharge. X-ray diffraction analysis, X-ray fluorescence ...
  • One-dimensional Model for Studying Seasonal Changes of Vertical Structure of Salt Lake Uchum 

    Belolipetskii, Victor M.; Genova, Svetlana N.; Degermendzhy, Andrey G.; Zykov, Vladimir V.; Rogozin, Denis Yu.; Белолипецкий, Виктор М.; Генова, Светлана Н.; Дегерменджи, Андрей Г.; Зыков, Владимир В.; Рогозин, Денис Ю. (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    Many salt lakes are meromictic, in which the water column is not mixed to the bottom for at least one year. In the stratified lake, the upper (epilimnion) and deep (hypolimnion) layers are distinguished, in which the ...
  • Variational Analysis of a Dynamic Electroviscoelastic Problem with Friction 

    Bachmar, Aziza; Boutechebak, Souraya; Serrar, Touffik; Бачмар, Азиза; Бутечебак, Сурая; Серрар, Туффик (Сибирский федеральный университет. Siberian Federal University, 2019-02)
    A dynamic contact problem is considered in the paper. The material behavior is described by electro- visco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is ...
  • 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 ...

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