Математика и физика. Mathematics & Physics. 2021 14 (3)

 

Ресурсы коллекции

  • Limits of Risks Ratios of Shrinkage Estimators under the Balanced Loss Function 

    Terbeche, Mekki; Benkhaled, Abdelkader; Hamdaoui, Abdenour; Тербече, Мекки; Бенхалед, Абделькадер; Хамдауи, Абденур (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    In this paper we study the estimation of a multivariate normal mean under the balanced loss function. We present here a class of shrinkage estimators which generalizes the James-Stein estimator and we are interested to ...

  • Removable Singularities of Separately Harmonic Functions 

    Imomkulov, Sevdiyor A.; Abdikadirov, Sultanbay M.; Имомкулов, Севдиёр А.; Абдикадиров, Султанбай М. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    Removable singularities of separately harmonic functions are considered. More precisely, we prove harmonic continuation property of a separately harmonic function u(x, y) in D \ S to the domain D, when D ⊂ Rn(x) × Rm(y), ...

  • Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations 

    Hamoud, Ahmed A.; Хамуд, Ахмед А. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    In this paper, we established some new results concerning the uniqueness and Ulam’s stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential equations subject to the boundary ...

  • Sharply 3-transitive Groups with Finite Element 

    Durakov, Evgeny B.; Дураков, Евгений Б. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    In this paper we study sharply 3-transitive groups. The local finiteness of sharply triply transitive permutation groups of characteristic p > 3 containing a finite element of order p is proved. Keywords: group, sharply ...

  • Rheological Properties of PVDF Solutions 

    Damdinov, Bair B.; Danilova, Victoria A.; Minakov, Andrey V.; Pryazhnikov, Maxim I.; Дамдинов, Баир Б.; Данилова, Виктория А.; Минаков, Андрей В.; Пряжников, Максим И. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    The rheological properties of polyvinylidene fluoride (PVDF) solutions in Nmethylpyrrolidone were studied using the rheometric method. It was shown that the viscosity of polymer solutions decreases non-linearly with ...

  • Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model 

    Shamaev, Alexey S.; Shumilova, Vladlena V.; Шамаев, Алексей С.; Шумилова, Владлена В. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    The paper is devoted to the construction of effective acoustic equations for a two-phase layered viscoelastic material described by the Kelvin–Voigt model with fractional time derivatives. For this purpose, the theory ...

  • A Note on the Conjugacy Between Two Critical Circle Maps 

    Safarov, Utkir A.; Сафаров, Уткир А. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    We study a conjugacy between two critical circle homeomorphisms with irrational rotation number. Let fi, i = 1, 2 be a C3 circle homeomorphisms with critical point x(i) cr of the order 2mi + 1. We prove that if 2m1 + 1 ...

  • The Time-fractional Airy Equation on the Metric Graph 

    Rakhimov, Kamoladdin; Sobirov, Zarifboy; Jabborov, Nasridin; Рахимов, Камоладдин; Собиров, Зарифбой; Жабборов, Насридин (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions ...

  • Analytic Continuation of Diagonals of Laurent Series for Rational Functions 

    Pochekutov, Dmitry Yu.; Почекутов, Дмитрий Ю. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a ...

  • Delta-extremal Functions in Cn 

    Narzillaev, Nurbek Kh.; Нарзиллаев, Нурбек Х. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    The article is devoted to properties of a weighted Green function. We study the (δ, ψ)- extremal Green function V ∗ δ (z,K, ψ) defined by the class Lδ = { u(z) ∈ psh(Cn) : u(z) 6 Cu + δ ln+ |z|, z ∈ Cn} , δ > 0. We ...

  • On Transcendental Systems of Equations 

    Kytmanov, Alexander M.; Khodos, Olga V.; Кытманов, Александр М.; Ходос, Ольга В. (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    Several types of transcendental systems of equations are considered: the simplest ones, special, and general. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the ...

  • Estimating the Mean of Heavy-tailed Distribution under Random Truncation 

    Khanssa, Ben Dahmane; Fateh, Benatia; Brahim, Brahimi; Хансса, Бен Дахман; Фатех, Бенатия; Брахим, Брахими (Сибирский федеральный университет. Siberian Federal University, 2021-04)
    Inspired by L.Peng’s work on estimating the mean of heavy-tailed distribution in the case of completed data. we propose an alternative estimator and study its asymptotic normality when it comes to the right truncated ...