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  • Asymptotic Representations of Quantum Affine Superalgebras 
    Zhang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a ...
  • Asymptotics of Rarefaction Wave Solution to the mKdV Equation 
    Minakov, A. (Журнал математической физики, анализа, геометрии, 2011)
    I would like to express my gratitude to V.P. Kotlyarov for his valuable advices and attention paid to the work.
  • Asymptotic solution of a harmonic contact problem for a permeable stamp on a liquid saturated base 
    Gomilko, A.M.; Savitsky, O.A.; Trofimchuk, A.N. (Нелінійні коливання, 2002)
    A plane harmonic problem of vertical vibrations of a rigid permeable stamp on a liquid saturated poroelastic base is considered. The equations of two-phase Biot media, taking into account inertial and viscous interactions ...
  • Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point 
    Antoniouk, A.V.; Kiselev, O.M.; Tarkhanov, N.N. (Український математичний журнал, 2014)
    The Dirichlet problem for the heat equation in a bounded domain G⊂Rn+1 is characteristic because there are boundary points at which the boundary touches a characteristic hyperplane t=c, where c is a constant. For the first ...
  • Asymptotic solutions of the Dirichlet problem for the heat equation with impulses 
    Matarazzo, G. (Український математичний журнал, 2006)
    We propose an algorithm for the construction of asymptotic expansions for solutions of the Dirichlet problem for the heat equation with impulses.
  • Asymptotic Solutions of the Wave Equation with Degenerate Velocity and with Right-Hand Side Localized in Space and Time 
    Anikin, A.; Dobrokhotov, S.; Nazaikinskii, V. (Журнал математической физики, анализа, геометрии, 2018)
    We study the Cauchy problem for the inhomogeneous two-dimensional wave equation with variable coefficients and zero initial data. The righthand side is assumed to be localized in space and time. The equation is considered ...
  • Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients 
    Mitropolsky, Y.A.; Matarazzo, G.; Pompei, A.; Samoilenko, V. H. (Нелінійні коливання, 2004)
    The object of this paper is to study the problem of constructing an approximate solution to the first order weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients. Based ...
  • Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 
    De Maio, U.; Mel'nyk, T.A. (Український математичний вісник, 2005)
    The leading terms of the asymptotic expansion for the solution to a mixed boundary value problem for the Poisson equation in a thick multi-structure, which is the union of some domain and a large number N of ε-periodically ...
  • Asymptotic stability for a thermoelectromagnetic material 
    Amendola, G. (Нелінійні коливання, 2001)
    In this work we consider a linear thermoelectromagnetic material, whose behaviour is characterized by two rate-type equations for the heat flux and the electric current density. We derive the restrictions imposed by the ...
  • A synchrotron radiation study of high-lying excited states of matrix-isolated atomic magnesium 
    Kerins, Paul; Healy, Brendan; McCaffrey, John G. (Физика низких температур, 2000)
    Previous steady-state and time-resolved luminescence spectroscopy of 3p ¹P₁ atomic magnesium, isolated in thin film samples of the solid rare gases, has been extended to include the higher energy 4p ¹P₁ excitation. Well ...
  • A Systematic Approach to the Development of Basic Models of the Behavior of Business Entities and its Harmonization 
    Mykytenko, V.; Chuprina, M.; Serhiienko, S. (Економічний вісник Донбасу, 2022)
    The authors have formed and substantiated the basic models of behavior of a plurality of business entities, presented in the form of combined conceptual and analytical model solutions, taking into account both a clear ...
  • A system for polymer film irradiation with heavy ions accelerated to the energy of 1 MeV/u 
    Bomko, V.A.; Bryk, M.T.; Dyachenko, A.F.; Zabotin, A.V.; Zajtsev, B.V.; Zhuk, V.V.; Zhuravlev, V.G.; Kobets, A.F.; Kravchenko, A.I.; Lesnykh, M.S.; Reshetnikov, V.N. (Вопросы атомной науки и техники, 2006)
    At the Kharkov heavy ion linear accelerator MILAC experimental investigations on irradiation polymer films with heavy ion beams are carried out with the aim of obtaining track-etched membranes. Presently, the MILAC ...
  • A system for sorting radioactive waste of the Chernobyl exclusion zone 
    Slabospitzkij, R.P.; Ganenko, V.B.; Bukov, V.T.; Savchuk, O.G.; Selukova, V.V.; Batij, V.G.; Kouzmenko, V.O.; Stoyanov, V.I. (Вопросы атомной науки и техники, 2001)
    This work is extending the research started in 1998, which are directed on development of a Chernobyl origin radioactive waste sorting system. In this paper the principal scheme and possible engineering solutions of the ...
  • A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The one variable Krawtchouk polynomials, a special case of the ₂F₁ function did appear in the spectral representation of the transition kernel for a Markov chain studied a long time ago by M. Hoare and M. Rahman. A ...
  • A tabu search approach to the jump number problem 
    Krysztowiak, P.; Sysło, M.M. (Algebra and Discrete Mathematics, 2015)
    We consider algorithmics for the jump numberproblem, which is to generate a linear extension of a given poset,minimizing the number of incomparable adjacent pairs. Since thisproblem is NP-hard on interval orders and open ...
  • A tabu search approach to the jump number problem 
    Krysztowiak, P.; Sysło, M.M. (Algebra and Discrete Mathematics, 2015)
    We consider algorithmics for the jump number problem, which is to generate a linear extension of a given poset, minimizing the number of incomparable adjacent pairs. Since this problem is NP-hard on interval orders and ...
  • At a crossroads of cancer risk and aging: the role of telomeres 
    Gerashchenko, B.I. (Experimental Oncology, 2010)
    The risk of overall cancer inevitably increases with advancing age. The cancer incidence rate is not constant within the human life span (it exponentially increases with advancing age). Aging itself is a complex biological ...
  • Atarctic herb tundra colonization zones in the context of ecological gradient of glacial retreat 
    Parnikoza, I.Yu.; Inozemtseva, D.M.; Tyschenko, O.V.; Mustafa, O.; Kozeretska, I.A. (2008)
    Досліджено залежність поширення антарктичної тундри в градієнті екологічних умов, який сформувався у процесі відступу льодовиків. Протягом 30-ї польської та 10-ї української експедицій, з 09,11,2005 по 09,02,2006 р., ...
  • A technique for the selective detection of neutrons in geological applications 
    Baker, J.H.; Galunov, N.Z.; Kostin, V.G.; Martynenko, E.V.; Tarasenko, O.A. (Вопросы атомной науки и техники, 2007)
    We present a new, combined technique for the detection of fast and thermal neutrons in the presence of accompanying gamma radiation, for geological and radioecological applications. To separate the slow neutron pulses and ...
  • A Theoretical and Experimental Analysis of Rotary Compression of Hollow Forgings Formed Over a Mandrel 
    Tomczak, J.; Pater, Z.; Bulza, T. (Проблемы прочности, 2017)
    The paper presents selected results of studies of the process of forming hollow stepped shaft forgings by rotary compression with rotary tools. The aim of the study was to determine whether rotary compression could be ...