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  • On relativistic effects on electron transport in the banana regime in tokamaks 
    Marushchenko, I.; Azarenkov, N.A. (Вопросы атомной науки и техники, 2019)
    In the present work, the neoclassical transport theory in tokamaks is re-considered with the relativistic effects for electrons taken into account. Since such effects are important only in high-temperature plasmas, only ...
  • On relativistic models in the equilibrium statistical mechanics 
    Tretyak, V. (Condensed Matter Physics, 1998)
    Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form ...
  • On relaxation phenomena in a two-component plasma 
    Gorev, V.N.; Sokolovsky, A.I.; Chelbaevsky, Z.Yu. (Condensed Matter Physics, 2015)
    The relaxation of the temperatures and velocities of the components of a quasi-equilibrium two-component homogeneous completely ionized plasma is investigated on the basis of a generalization of the Chapman--Enskog method ...
  • On reliability modeling and evaluating in cloud services system 
    Telenyk, S.F.; Savchuk, O.V.; Pokrovskyi, E.O.; Morgal, O.M.; Pokhylenko, O.A. (Штучний інтелект, 2018)
    A typical system of reliability of cloud services with a cloud management system is explored. The proposed model is service-oriented and hierarchical. It includes two phases of query maintenance: 1) time-out and overflow; ...
  • On removable sets for degenerated elliptic equations 
    Gadjiev, T.S.; Bayramova, N.Q. (Український математичний журнал, 2014)
    We establish necessary and sufficient conditions of removability of compact sets.
  • On representations of a general solution in the theory of micropolar thermoelasticity without energy dissipation 
    Giordano, P.; Svanadze, M.; Zampoli, V. (Український математичний журнал, 2007)
    In the present paper, the linear theory of micropolar thermoelasticity without energy dissipation is considered. This work is organized as follows: Section 2 is devoted to basic equations for micropolar thermoelastic ...
  • On representations of permutations groups as isometry groups of n-semimetric spaces 
    Gerdiy, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2015)
    We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric ...
  • On representations of the group of order two over local factorial rings in the weakly modular case 
    Bondarenko, V.M.; Stoika, M. (Algebra and Discrete Mathematics, 2017)
    We study representations of the group of order 2 over local factorial rings of characteristic not 2 with residue field of characteristic 2. The main results are related to a sufficient condition of wildness of groups.
  • On representations of the semigroups S(I,J) with acyclic quiver 
    Bondarenko, V.M.; Tertychna, O.M. (2009)
    In this paper we study representations of semigroups (over a field k) generated by idempotents with partial null multiplication in the case when the corresponding quiver has not oriented cycles.
  • On representation type of a pair of posets with involution 
    Bondarenko, V.M. (Algebra and Discrete Mathematics, 2005)
    In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with ...
  • On reselling of European option 
    Kukush, A.G.; Mishura, Yu.S.; Shevchenko, G.M. (2006)
    On Black and Scholes market investor buys a European call option. At each moment of time till the maturity, he is allowed to resell the option for the quoted market price. A model is proposed, under which there is no ...
  • On rings with weakly prime centers 
    Junchao Wei (Український математичний журнал, 2014)
    We introduce a class of rings obtained as a generalization of rings with prime centers. A ring R is called weakly prime center (or simply WPC) if ab∈Z(R) (R) implies that aRb is an ideal of R where Z(R) stands for the ...
  • On Robust Feedback for Systems with Multidimensional Control 
    Korobov, V.I.; Revina, T.V. (Журнал математической физики, анализа, геометрии, 2017)
    The paper deals with local robust feedback synthesis problem for systems with multidimensional control and unknown bounded perturbations. Using V.I. Korobov's controllability function method, a bounded control which steers ...
  • On Samuelson Submanifolds in Four Space 
    Cooper, J.B.; Russell, T. (2009)
    The object of study in this talk is a general class of submanifolds of R^4. The motivation for this work was the derivation of the following equation which answered a question posed by the distinguished economist P.A. Samuelson.
  • On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups 
    Markin, M.V. (Український математичний журнал, 2008)
    Necessary and sufficient conditions for a scalar-type spectral operator in a Banach space to be a generator of a Carleman ultradifferentiable C₀-semigroup are found. The conditions are formulated exclusively in terms of ...
  • On schurity of one-sided bimodule problems 
    Babych, V.; Golovashchuk, N. (Algebra and Discrete Mathematics, 2019)
    We consider a class of normal bimodule problems satisfying some structure, triangularity and finiteness conditions (one-sided bimodule problems). We study the structure of non-schurian bimodule problems from our class and ...
  • On semilinear equations in the complex plane 
    Gutlyanskiĭ, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Доповіді НАН України, 2019)
    We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak ...
  • On semisimple algebra codes: generator theory 
    Martınez-Moro, E. (Algebra and Discrete Mathematics, 2007)
    The class of affine variety codes is defined as the Fq linear subspaces of A a Fq-semisimple algebra, where Fq is the finite field with q=pr elements and characteristic p. It seems natural to impose to the code some extra ...
  • On separable and H-separable polynomials in skew polynomial rings of several variables 
    Ikehata, S. (Algebra and Discrete Mathematics, 2010)
    Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of ...
  • On separable group rings 
    Szeto, G.; Lianyong Xue (Algebra and Discrete Mathematics, 2010)
    Let G be a finite non-abelian group, R a ring with 1, and Ĝ the inner automorphism group of the group ring RG over R induced by the elements of G. Then three main results are shown for the separable group ring RG over R: ...