ESSN 2313-6022 (электронное издание), ISSN 1997-1397 (печатное издание)

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  • Satisfiability in Boolean Logic (SAT problem) is polynomial? 

    Rybakov, Vladimir V.; Рыбаков, Владимир В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    We find a polynomial algorithm to solve SAT problem in Boolean Logic
  • On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type 

    Velisevich, Alexander V.; Велисевич, Александр В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu + ku = f with the boundary condition of the third type is considered. The identification of the coefficient ...
  • Connecting Homomorphism and Separating Cycles 

    Ulvert, Roman V.; Ульверт, Роман В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    We discuss the construction of a long semi-exact Mayer–Vietoris sequence for the homology of any finite union of open subspaces. This sequence is used to obtain topological conditions of representation of the integral ...
  • On Problem of Finding all Maximal Induced Bicliques of Hypergraph 

    Soldatenko, Aleksandr A.; Semenova, Daria V.; Солдатенко, Александр А.; Семенова, Дарья В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    The problem of finding all maximal induced bicliques of a hypergraph is considered in this paper. A theorem about connection between induced bicliques of the hypergraph H and corresponding vertex graph L2(H) is proved. ...
  • Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere 

    Smolin, Sergei V.; Смолин, Сергей В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    Last years the attention to research of anisotropy of the charged particle pitch angle distribution has considerably increased. Therefore for research of anisotropy dynamics of the proton pitch angle distribution is used ...
  • A List of Integral Representations for the Diagonal of Power Series of a Rational Function 

    Senashov, Artem V.; Сенашов, Артем В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    In this paper we present integral representations for the diagonals of power series. Such representations are obtained by lowering the multiplicity of integration for the previously known integral representation. The ...
  • Features in the Resonance Behavior of Magnetization in Arrays of Triangular and Square Nanodots 

    Orlov, Vitaly A.; Rudenko, Roman Yu.; Prokopenko, Vladimir S.; Orlova, Irina N.; Орлов, Виталий А.; Руденко, Роман Ю.; Прокопенко, Владимир С.; Орлова, Ирина Н. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    Collective modes of the gyrotropic motion of a magnetic vortex core in ordered arrays of triangular and square ferromagnetic film nanodots have been theoretically investigated. The dispersion relations have been derived. ...
  • On Pairs of Additive Subgroups Associated with Intermediate Subgroups of Groups of Lie Type over Nonperfect Fields 

    Nuzhin, Yakov N.; Нужин, Яков Н. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    The author has previously (Trudy IMM UrO RAN, 19(2013), no. 3) described the groups lying between twisted Chevalley groups G(K) and G(F) of type 2Al, 2Dl, 2E6, 3D4 in the case when the larger field F is an algebraic ...
  • On the Zeta-Function of Zeros of Entire Function 

    Kuzovatov, Vyacheslav I.; Kytmanov, Alexander M.; Sadullaev, Azimbai; Кузоватов, Вячеслав И.; Кытманов, Александр М.; Садуллаев, Азимбай (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    This article is devoted to the study of the properties of the zeta-function of zeros of entire function. We obtained an explicit expression for the kernel of the integral representation of the zetafunction in one case
  • Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m] 

    Khudayberganov, Gulmirza Kh.; Abdullayev, Jonibek Sh.; Худайберганов, Гулмирза Х.; Абдуллаев, Жонибек Ш. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    The aim of this work is to obtain multidimensional analogs of the Laurent series with respect to the matrix ball from space Cn [m × m]. To do this, we first introduce the concept of a "layer of the matrix ball" from Cn ...
  • Iterations and Groups of Formal Transformations 

    Kaptsov, Oleg V.; Капцов, Олег В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample to Moser’s existence theorem for an interpolation ...
  • On Estimation of the Convergence Rate to Invariant Measures in Markov Branching Processes with Possibly Infinite Variance and Allowing Immigration 

    Imomov, Azam A.; Имомов, Азам А. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    The paper discusses the continuous-time Markov Branching Process allowing Immigration. We are considering a critical case for which the second moment of offspring law and the first moment of immigration law are possibly ...
  • On Reductants of Two Groups 

    Fedchenko, Dmitry P.; Stepanenko, Vitaly A.; Bikmurzin, Rustam V.; Isaeva, Victoria V.; Федченко, Дмитрий П.; Степаненко, Виталий А.; Бикмурзин, Рустам В.; Исаева, Виктория В. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    In this paper we consider the reductant of the dihedral group Dn, consisting of a set of axial symmetries, and the sphere S2 as a reductant of the group SU(2,C) ∼= S3 (the group of unit quaternions). By introducing the ...
  • On Some Decompositions of Matrices over Algebraically Closed and Finite Fields 

    Danchev, Peter; Данчев, Петр (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    We study when every square matrix over an algebraically closed field or over a finite field is decomposable into a sum of a potent matrix and a nilpotent matrix of order 2. This can be related to our recent paper, published ...
  • Energy Method for the Elliptic Boundary Value Problems with Asymmetric Operators in a Spherical Layer 

    Denisenko, Valery V.; Nesterov, Semen A.; Денисенко, Валерий В.; Нестеров, Семен А. (Сибирский федеральный университет. Siberian Federal University, 2021-10)
    Three-dimensional elliptic boundary value problems arising in the mathematical modeling of quasi-stationary electric fields and currents in conductors with gyrotropic conductivity tensor in domains homeomorphic to the ...
  • On the Uniqueness of the Classical Solutions of the Radial Viscous Fingering Problems in a Hele-Shaw Cell 

    Atusi Tani; Hisasi Tani; Атуси, Тани; Хисаси, Тани (Сибирский федеральный университет. Siberian Federal University, 2021)
    In [9, 10] we established the existence of classical solutions to two-phase and one-phase radial viscous fingering problems, respectively, in a Hele-Shaw cell by the parabolic regularization and by vanishing the coefficient ...
  • On some Inverse Parabolic Problems with Pointwise Overdetermination 

    Pyatkov, Sergey G.; Baranchuk, Vladislav A.; Пятков, Сергей Г.; Баранчук, Владислав А. (Сибирский федеральный университет. Siberian Federal University, 2021)
    We examine well-posedness questions in the Sobolev spaces of inverse problems of recovering coefficients depending on time in a parabolic system. The overdetermination conditions are values of a solution at some collection ...
  • The Problem of Determining of the Source Function and of the Leading Coefficient in the Many-dimensional Semilinear Parabolic Equation 

    Polyntseva, Svetlana V.; Spirina, Kira I.; Полынцева, Светлана В.; Спирина, Кира И. (Сибирский федеральный университет. Siberian Federal University, 2021)
    We consider the problem of determining the source function and the leading coefficient in a multidimensional semilinear parabolic equation with overdetermination conditions given on two different hypersurfaces. The ...
  • The Regularity of the Solutions of Inverse Problems for the Pseudoparabolic Equation 

    Lyubanova, Anna Sh.; Любанова, Анна Ш. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The paper discusses the regularity of the solutions to the inverse problems on finding unknown coefficients dependent on t in the pseudoparabolic equation of the third order with an additional information on the boundary. ...
  • Fast Modelling of Tsunami Wave Propagation using PC with Hardware Computer Code Acceleration 

    Lavrentiev, Mikhail M.; Marchuk, Andrey G.; Лаврентьев, Михаил М.; Марчук, Андрей Г. (Сибирский федеральный университет. Siberian Federal University, 2021)
    The field programmable gates array (FPGA) microchip is applied to achieve considerable performance gain in simulation of tsunami wave propagation using personal computer. The two-step Mac-Cormack scheme was used for ...

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