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  • On a product of two formational tcc-subgroups 
    Trofimuk, A. (Algebra and Discrete Mathematics, 2020)
    A subgroup A of a group G is called tcc-subgroup in G, if there is a subgroup T of G such that G = AT and for any X ≤ A and Y ≤ T there exists an element u ∈ hX, Y i such that XYᵘ ≤ G. The notation H ≤ G means that H is ...
  • On a Quantization of the Classical θ-Functions 
    Brezhnev, Y.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics ...
  • On a quasilinear analog of Gidas-Spruck theorem 
    Muravnik, A. (Нелинейные граничные задачи, 2004)
    Theorems on nonexistence of global solutions are proved for elliptic inequalities and systems containing the second powers of the unknown functions under the assumption of the continuity of the coefficients at the principal ...
  • On a quasistability radius for multicriteria integer linear programming problem of finding extremum solutions 
    Emelichev, V.; Nikulin, Yu. (Кибернетика и системный анализ, 2019)
    We consider a multicriteria integer linear programming problem with a targeting set of optimal solutions given by the set of all individual criterion minimizers (extrema). In this study, the lower and upper attainable ...
  • On a Question by A.M. Kagan 
    Il'inskii, A. (Журнал математической физики, анализа, геометрии, 2010)
    There is given an example of probability distribution, not having Gaussian components, such that for any two independent identically distributed random variables ξ and η with this distribution and for all a ≠ 0, b ≠ 0 the ...
  • On a question of A. N. Skiba about totally saturated formations 
    Safonov, V.G. (Algebra and Discrete Mathematics, 2008)
    It is proved that the lattice of τ-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997).
  • On a question of Wiegold and torsion images of Coxeter groups 
    Grigorchuk, R. (Algebra and Discrete Mathematics, 2009)
    We answer positively a question raised byWiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity ...
  • On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators 
    Talati, D.; Turhan, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order ...
  • On a Regular Hypersimplex Inscribed into the Multidimensional Cube 
    Medianik, A.I. (Журнал математической физики, анализа, геометрии, 2006)
    It is proved the existence of a regular hypersimplex inscribed into the (4n - 1)-dimensional cube under the vanishing condition of the resultant of some system of 4n - 1 algebraic equations with 4n - 1 unknown quantities.
  • On a relation between memory effects by Maxwell - Boltzmann and Kelvin - Voigt in linear viscoelastic theory 
    Matarazzo, G. (Нелінійні коливання, 1999)
    We study the smoothness properties of relaxation function such that a linear viscoelastic material system by Maxwell Boltzmann can be considered of Kelvin Voigt type; assuming that the relaxation function and its derivative ...
  • On arrangement of subgroups in groups and related topics: some recent developments 
    Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works ...
  • On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point 
    Chuchman, I. (Algebra and Discrete Mathematics, 2011)
    In this paper we study the semigroup IC(I,[a]) (IO(I,[a])) of closed (open) connected partial homeomorphisms of the unit interval I with a fixed point a∈I. We describe left and right ideals of IC(I,[0]) and the Green's ...
  • On a Seminal Paper by Karlin and McGregor 
    Castro, M.M.; Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their ...
  • On a semitopological polycyclic monoid 
    Bardyla, S.; Gutik, O. (Algebra and Discrete Mathematics, 2016)
    We study algebraic structure of the λ-polycyclic monoid Pλ and its topologizations. We show that the λ-polycyclic monoid for an infinite cardinal λ≥2 has similar algebraic properties so has the polycyclic monoid Pn with ...
  • On a simple model of the photonic or phononic crystal 
    Kosevich, A.M. (Вопросы атомной науки и техники, 2001)
    A model is proposed for a one-dimensional dielectric or elastic superlattice (SL) that relatively simply describes the frequency spectrum of electromagnetic or acoustic waves. The band frequency spectrum is reduced to ...
  • On a spherical code in the space of spherical harmonics 
    Bondarenko, A.V. (Український математичний журнал, 2010)
    We propose a new method for the construction of new “nice” configurations of vectors on the unit sphere S d with the use of spaces of spherical harmonics.
  • On associative algebras satisfying the identity x⁵=0 
    Shestakov, I.; Zhukavets, N. (Algebra and Discrete Mathematics, 2004)
    We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-superalgebras, where k ...
  • On asymptotic behaviour of probabilities of small deviations for compound Cox processes 
    Frolov, A.N. (2008)
    We derive logarithmic asymtotics for probabilities of small deviations for compound Cox processes in the space of trajectories. We find conditions under which these asymptotics are the same as those for sums of independent ...
  • On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations 
    Kostin, A.V.; Skripnik, I.V. (Український математичний журнал, 1997)
    We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a ...
  • On asymptotic information integral inequalities 
    Veretennikov, A. (2007)
    Asymptotical versions of Bayesian Cramer – Rao inequalities are discussed.