Математика и физика. Mathematics & Physics. 2023 16 (2)

 

Ресурсы коллекции

  • On Maximal Operators Associated with a Family of Singular Surfaces 

    Usmanov, Salim E.; Усманов, Салим Э. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    Maximal operator associated with singular surfaces is considered in this paper. The boundedness of this operator in the space of summable functions is proved when singular surfaces are given by parametric equations. ...

  • Fantappi`e G-transform of Analytic Functionals 

    Trutnev, Vyacheslav M.; Трутнев, Вячеслав М. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    To each analytic functional on the space O′ (Cn), a function f(z) holomorphic in a neighbor- hood of the origin and an entire function of exponential type F(z) are associated so that the coefficients c of the power ...

  • On the Ill-posed Cauchy Problem for the Polyharmonic Heat Equation 

    Kurilenko, Ilya A.; Shlapunov, Alexander A.; Куриленко, Илья А.; Шлапунов, Александр А. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    We consider the ill-posed Cauchy problem for the polyharmonic heat equation on recovering a function, satisfying the equation (@t+(-Δ)m)u = 0 in a cylindrical domain in the half-space Rnx[0;+1), where n > 1, m > 1 and Δ ...

  • Physical and Technical Fundamentals of the Seismoelectric Method of Direct Hydrocarbon Prospecting in the Arctic Using Automatic Underwater Vehicles 

    Shaidurov, Georgy Ya.; Kokhonkova, Ekaterina A.; Shaidurov, Roman G.; Шайдуров, Георгий Я.; Кохонькова, Екатерина А.; Шайдуров, Роман Г. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    The article deals with the problems of the implementation of underwater-surface variants of the seismo-electric method of direct search for hydrocarbons in the conditions of the Arctic waters. An estimate is given of the ...

  • Green’s Function on a Parabolic Analytic Surface 

    Sadullaev, Azimbay S.; Kamolov, Khursandbek K.; Садуллаев, Азимбай C.; Камолов, Хурсандбек К. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    The class of plurisubharmonic functions on a complex parabolic surface is considered in this paper. The concepts of the Green’s function and pluripolar set are also introduced and their potential properties are studied

  • Examples of Computing Power Sums of Roots of Systems of Equations 

    Myshkina, Evgeniya K.; Мышкина, Евгения К. (Siberian Federal University. Сибирский федеральный университет, 2023-04)
    Examples of computing power sums of roots of systems of equations, including transcenden- tal, are considered. Since the number of roots of such systems is, as a rule, infinite, it is necessary to study the power sums ...

  • The Cauchy Problem for Equation of Elasticity Theory 

    Makhmudov, Olimdjan I.; Niyozov, Ikbol E.; Махмудов, Олимджан И.; Ниёзов, Икбол Э. (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    A problem on the analytic continuation of the solution of equation of elasticity theory in a spatial domain is considered. Continuation is based on the values of the solution and stresses on a part of the boundary of ...

  • Summation of Functions and Polynomial Solutions to a Multidimensional Difference Equation 

    Grigoriev, Andrey A.; Leinartas, Evgeniy K.; Lyapin, Alexander P.; Григорьев, Андрей А.; Лейнартас, Евгений К.; Ляпин, Александр П. (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these operators in equations with the polyno- mial right-hand side. The ...

  • On Multiple Zeros of Entire Functions of Finite Order of Growth 

    Kytmanov, Alexander M.; Khodos, Olga V.; Кытманов, Александр М.; Ходос, Ольга В. (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    The article is devoted to determination of the number of multiple zeros of entire functions of finite order of growth

  • A Note on the Diophantine Equation (4q - 1)u + ( 2q+1 )v = w2 

    Djamel Himane; Rachid Boumahdi; Джамель Химане; Рашид Бумахди (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    Let a; b and c be positive integers such that a2+b2 = c2 with gcd (a; b; c) = 1, a even. Terai’s conjecture claims that the Diophantine equation x2 + by = cz has only the positive integer solution (x; y; z) = (a; 2; 2). ...

  • Theoretical Analysis for a System of Nonlinear ϕ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations 

    Hamoud, Ahmed A.; Mohammed, Nedal M.; Rasool Shah; Хамуд, Ахмед А.; Мохаммед, Недал М.; Расул Сах (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    We investigate the existence of solutions for a system of nonlinear ϕ-Hilfer fractional Volterra– Fredholm integro-differential equations with fractional integral conditions, by using the Krasnoselskii’s fixed point ...

  • On the Blaschke Factors in Polydisk 

    Durakov, Matvey E.; Дураков, Матвей E. (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    The purpose of this work is to construct a multidimensional analogue of the Blaschke factors. The relevance of the construction of this analogue was prompted by a recent joint article by Alpay and Yger devoted to the ...

  • Incomplete Least Squared Regression Function Estimator Based on Wavelets 

    Ryma Douas; Ilhem Laroussi; Soumia Kharfouchi; Рима Дуас; Ильхем Ларуси; Сумия Харфуши (Сибирский федеральный университет. Siberian Federal University, 2023-04)
    In this paper, we introduce an estimator of the least squares regression function, for Y right censored by R and min(Y;R) left censored by L. It is based on ideas derived from the context of wavelet estimates and is ...