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  • On a graph isomorphic to its intersection graph: self-graphoidal graphs 
    Das, P.K.; Singh, K.R. (Algebra and Discrete Mathematics, 2018)
    A graph G is called a graphoidal graph if there exists a graph H and a graphoidal cover ψ of H such that G ≅ Ω (H, ψ ). Then the graph G is said to be self-graphoidal if it is isomorphic to one of its graphoidal graphs. ...
  • On a group theoretical construction of expanding graphs 
    Ustimenko, V.A. (Algebra and Discrete Mathematics, 2003)
  • On Algebraically Integrable Differential Operators on an Elliptic Curve 
    Etingof, P.; Rains, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic ...
  • On algebraic graph theory and non-bijective multivariate maps in cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n=2,3,… and composite m. The map Fn is injective on Ωn={x|x₁+x₂+…xn ∈ Zm∗} and solution of the equation Fn(x)=b,x∈Ωn can be reduced ...
  • On algebraic graph theory and non-bijectivemultivariate maps in cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n = 2,3, ... and composite m.The map F is injective on Ωn = {x|x1+x2+: : : xn ∈ Zm*} and solution of the equation Fn(x) = b, x ∈ ...
  • On a Lie Algebraic Characterization of Vector Bundles 
    B.A. Lecomte, P.; Leuther, T.; Mushengezi, E.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove that a vector bundle π: E→M is characterized by the Lie algebra generated by all differential operators on E which are eigenvectors of the Lie derivative in the direction of the Euler vector field. Our result is ...
  • On a Limiting Distribution of Singular Values of Random Band Matrices 
    Lytova, A.; Pastur, L. (Журнал математической физики, анализа, геометрии, 2015)
    An equation is obtained for the Stieltjes transform of the normalized distribution of singular values of non-symmetric band random matrices in the limit when the band width and rank of the matrix simultaneously tend to ...
  • On a mechanism of polarization origin at the polar regions of Jupiter 
    Goryunova, O.S.; Korokhin, V.V.; Akimov, L.A.; Shalygin, E.V.; Velikodsky, Yu.I. (Кинематика и физика небесных тел, 2005)
    We propose the following mechanism of linear polarization origin at Jupiter’s polar regions: the principal contribution in polarization is made by the light reflected by cloud layer and then scattered by stratospheric ...
  • On a method of tuning of couplers for electron LINACS based on disk loaded waveguides 
    Aizatskyi, N.I.; Kramarenko, K.Yu.; Khodak, I.V.; Kushnir, V.A.; Mytrochenko, V.V.; Opanasenko, A.M.; Perezhogin, S.A.; Selivanov, L.I.; Zhiglo, V.F. (Вопросы атомной науки и техники, 2015)
    The article presents an adjustment procedure for an input and output couplers of a traveling wave accelerating section based on cylindrical disk loaded waveguide (CDLW). The procedure consists in bead pull measurement of ...
  • On a model semilinear elliptic equation in the plane 
    Gutlyanskii, V.Y.; Nesmelova, O.V.; Ryazanov, V.I. (Український математичний вісник, 2016)
    Assume that Ω is a regular domain in the complex plane C and A(z) is symmetric 2 × 2 matrix with measurable entries, det A = 1 and such that 1/K|ξ|² ≤ 〈A(z)ξ, ξ〉 ≤ K|ξ|², ξ ∊ R², 1 ≤ K < ∞. We study the blow-up problem ...
  • On a 'Mysterious' Case of a Quadratic Hamiltonian 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
  • On analogs of some classical group theoretical results in Poisson algebras 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2021)
    We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is ...
  • On analogs of some group-theoretic concepts and results for Leibniz algebras 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Semko, N.N. (Доповіді НАН України, 2018)
    An algebra L over a field F is said to be a Leibniz algebra (more precisely a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] – [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are ...
  • On analysis of the electromagnetic resistance of radioelectronic devices under impulse radiation 
    Lonin, Yu.Р.; Ponomaryov, A.G.; Chumakov, V.I. (Вопросы атомной науки и техники, 2018)
    The results of investigations on degradation effects in the radioelectronics circuitry under the influence of the high-intensity pulse radiation are given. Analysis of the mechanism of degradation because of shortening ...
  • On Analytic and Subharmonic Functions in Unit Disc Growing Near a Part of the Boundary 
    Favorov, S.Yu.; Radchenko, L.D. (Журнал математической физики, анализа, геометрии, 2013)
    In the paper there was found an analog of the Blaschke condition for analytic and subharmonic functions in the unit disc, which grow at most as a given function j near some subset of the boundary.
  • On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type 
    Hakl, R.; Lomtatidze, A.; Šremr, J. (Нелінійні коливання, 2003)
    Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u), where F : C([a, b]; R) → L([a, b]; ...
  • On an Application of the Lax-Phillips Scattering Approach in the Theory of Singular Perturbations 
    Kuzhel', S.A.; Matsyuk, L.V. (Український математичний журнал, 2005)
  • On an approach to construction the basic of nanomaterials mechanics 
    Nahirnyi, T.; Tchervinka, K. (Фізико-математичне моделювання та інформаційні технології, 2010)
    In the paper the basic relations for description of elastic deformation of nanoporous solids are proposed. They include a classical equilibrium equation and a constitutive relation between stress and strain tensors. While ...
  • On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation 
    Aratyn, H.; Gomes, J.F.; Zimerman, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
  • On an electron beam excitation of linear impedance antenna 
    Priymenko, S.D.; Lonin, Yu.F.; Bondarenko, L.A.; Onishchenko, I.N. (Вопросы атомной науки и техники, 2004)
    The excitation of linear impedance antenna by an electron beam in an infinite space is considered. The charge of beam is concentrated on one end of the antenna and excites frequency spectrum of its radiation. The system ...