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  • On separation of vacuum volumes on the path of an electron beam 
    Kasilov, V.I.; Buki, A.Yu. (Вопросы атомной науки и техники, 2009)
    The problem of separation by a thin foil of vacuum volumes located on the path of an electron beam is considered. It is shown that in the case of the 300 MeV electron LINAC being under reconstruction, the vacuum separation ...
  • On sequences of Mealy automata and their limits 
    Reznykov, I.I. (Algebra and Discrete Mathematics, 2006)
    We introduce the notions of n-state Mealy automaton sequence and limit of this sequence. These notions are illustrated by the 2-state Mealy automaton sequences that have the set of finite limit automata.
  • On Sets with Extremely Big Slices 
    Ivakhno, Ye. (Журнал математической физики, анализа, геометрии, 2006)
    A new characterization of the Radon-Nikodym property in terms of sizes of slices and equivalent norms is presented. A property opposite to the Radon-Nikodym property is studied in the context of 1-unconditional sums of ...
  • On sexual dimorphism in Xiphobates callipygis (Oribatei, Ceratozetoidea, Chamobatidae) 
    Pavlitshenko, P.G. (Вестник зоологии, 1994)
  • On simple groups of large exponents 
    Sonkin, D. (Algebra and Discrete Mathematics, 2004)
    It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or divisible by 2⁹ ) is of cardinality continuum. As a corollary, for any sufficiently large n the ...
  • On simulation of spatial-temporal chaos: The simplest mathematical patterns and computer graphics 
    Romanenko, Ye.Yu.; Vereikina, M.B. (Український математичний журнал, 1993)
    The article presents three scenarios of the evolution of spatial-temporal chaos and specifies the corresponding types of chaotic solutions to a certain nonlinear boundary-value problem for PDE. Analytic assertions are ...
  • On single-mode equilibrium and self-organization of reversal field pinch 
    Gurin, A.A. (Вопросы атомной науки и техники, 2011)
    The MGD self-stabilization of kink instability of paramagnetic z-pinch with strong current and some features of the RFP-like quasi-single-mode self-organization as a result of plasma azimuth and z-convection generated by ...
  • On single-time methods in relativistic gravity dynamics 
    Opanasyuk, Yu.A. (Condensed Matter Physics, 1998)
    A short outline of revived methods of an action-at-a-distance description of interacting particles is given. A new approach to the problem of motion in relativistic gravity is discussed. The approach makes an essential ...
  • On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ 
    Sahin, T.; Yilmaz, M. (Український математичний журнал, 2010)
    We study the singularities of Galilean height functions intrinsically related to the Frenet frame along a curve embedded into the Galilean space. We establish the relationships between the singularities of the discriminant ...
  • On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate 
    Potomkin, M. (Журнал математической физики, анализа, геометрии, 2010)
    A system of partial differential equations with integral terms which take into account hereditary effects is considered. The system describes a behaviour of thermoviscoelastic plate with Berger's type of nonlinearity. The ...
  • On six-dimentional Dirac equation and some relations between polarisations of the spin ½ particle 
    Lyubchenko, M.V.; Stepanovsky, Yu.P. (Вопросы атомной науки и техники, 2007)
    Through the six-dimensional description of polarized spin ½ particles we obtain some formulae representing general properties of polarization phenomena. The obtained relations between polarizations are used for consideration ...
  • On size effect of elastic modules in thin fibres 
    Nahirnyi, T.; Tchervinka, K (Фізико-математичне моделювання та інформаційні технології, 2010)
    In the paper the dependence of elasticity modules in thin fibres on the fibre radius is investigated. The relations of local gradient approach in thermomechanics are taken as a starting point. The approach is based on ...
  • On size effect of mechanical properties of thermoelastic solids 
    Nahirnyj, T.; Tchervinka, K. (Фізико-математичне моделювання та інформаційні технології, 2009)
    In this paper the principal relations of a thermoelastic solid model for the local gradient approach in thermomechanics are presented. Within the framework of such an approach the stationary stressed-strained state of a ...
  • On small world non-Sunada twins and cellular Voronoi diagrams 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2020)
    Special infinite families of regular graphs of unbounded degree and of bounded diameter (small world graphs) are considered. Two families of small world graphs Gi and Hi form a family of non-Sunada twins if Gi and Hi are ...
  • On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel 
    Zolotenko, G.F. (Нелінійні коливання, 2001)
    The problem of integrating the Laplace equation in a changing 3-dimensional region, with the initial and boundary conditions, is investigated. The paper is mainly devoted to the problem arising in dynamics of an inviscid ...
  • On solvability for evolutionary variational inequality with set-valued generalized pseudomonotone operators 
    Solonukha, O. (Нелинейные граничные задачи, 2003)
    The sufficient conditions for weak and strong generalized solvability of evolutionary variational inequalities with set-valued operators are proposed. We consider the operators of pseudomonotone type. We apply this theory ...
  • On solvability of inhomogeneous boundary-value problems in Sobolev—Slobodetskiy spaces 
    Mikhailets, V.A.; Skorobohach, T.V. (Доповіді НАН України, 2020)
    We investigate the most general class of Fredholm one-dimensional boundary-value problems in the Sobolev—Slobodetskiy spaces. Boundary conditions of these problems may contain a derivative of the whole or fractional order. ...
  • On solvability of singular periodic boundary-value problems 
    Staněk, S. (Нелінійні коливання, 2001)
    We present conditions ensuring the existence of a solution in the class C¹ ([0, T]) for the singular periodic boundary-value problem (r(x' ))' = H(p(t) + q(x))k(x')f(t, x, x'(0) = x(T), x'(0) = x'(T).
  • On solvability of the variational inequality with +-coercive multivalued mappings 
    Solonoukha, O.V. (Нелинейные граничные задачи, 1999)
    In this work the theory of variational inequalities with multivalued operators is extended for the wider of multivalued maps from the re°exive Banach space to its dual one. In particular, we relax the restriction on boundness ...
  • On solvable Z₃-graded alternative algebras 
    Goncharov, M. (Algebra and Discrete Mathematics, 2015)
    Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded algebra. The main result of the paper is the following: if A0 is solvable and the characteristic of the ground field not equal 2,3 and 5, then A is solvable.