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  • Lytova, A. (Журнал математической физики, анализа, геометрии, 2013)
    This paper is a continuation of our papers [12-14] in which the limiting laws of fluctuations were found for the linear eigenvalue statistics Tr φ(M⁽ⁿ⁾) and for the normalized matrix elements √nφjj(M⁽ⁿ⁾) of differentiable ...
  • Startsev, S.Ya. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new ...
  • Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2013)
    In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
  • Skrzyński, M. (Algebra and Discrete Mathematics, 2019)
    We collect some basic properties of NSP constants of a matrix, discuss an additive behavior of the spark, and prove two theorems characterizing linear endomorphisms which preserve the NSP constants.
  • Protasov, I.V. (Algebra and Discrete Mathematics, 2016)
    An n-star S in a graph G is the union of geodesic intervals I1,…,Ik with common end O such that the subgraphs I1∖{O},…,Ik∖{O} are pairwise disjoint and l(I1)+…+l(Ik)=n. If the edges of G are oriented, S is directed if each ...
  • Dhage, B.C. (Нелінійні коливання, 2010)
    In this paper, an existence result for a nonlinear n-th order ordinary random differential equation is proved under Caratheodory condition. Two existence results for extremal random solutions are also proved for ´ Caratheodory ...
  • Samoilenko, Yu.S.; Yakymenko, D.Yu. (2009)
    We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with ...
  • Wilderotter, K. (Український математичний журнал, 1995)
    The even-dimensional Kolmogorov widths d2n, Gel'fand widths d²ⁿ, and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of ...
  • Irtegov, V.D.; Titorenko, T.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical ...
  • Zhuchok, Yul.V. (Algebra and Discrete Mathematics, 2014)
    In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous ...
  • Levchuk, V.N. (Журнал математической физики, анализа, геометрии, 2017)
    The non-dissipative operator of integration is studied in the weight space. Its similarity to the operator of integration in the space without weight is proved. The functional model for this operator is obtained.
  • Britov, N.A. (Нелинейные граничные задачи, 2000)
    One special class of nonlinear operator equations depended from two real numerical parameters in Hilbert spaces are considered. Non-local conditions of existence and uniqueness of solutions are established. The conditions ...
  • Zatorsky, R.; Stefluk, S. (Algebra and Discrete Mathematics, 2013)
    We consider relations between one class of partition polynomials, parafunctions of triangular matrices (tables), and linear recurrence relations.
  • Kasyanuk, M. (Algebra and Discrete Mathematics, 2013)
    In this paper we consider the Artinian semidistributive rings.
  • Khachatryan, A.Kh.; Khachatryan, Kh.A.; Sardaryan, T.H. (Журнал математической физики, анализа, геометрии, 2014)
    In the paper, the solvability of one nonlinear boundary-value problem arising in kinetic theory of gases is studied. We prove the existence of global solvability of a boundary-value problem in the Sobolev space W¹∞ (R+). ...
  • Klochko, D.D. (Археологія, 2020)
    The article is dedicated to the analysis of bimetallic swords and daggers of Cimmerian time, which were found both at Ukrainian territory and neighboring countries. The previously known and new findings are analyzed.
  • Kamalian, R.R. (Algebra and Discrete Mathematics, 2015)
    A proper edge t-coloring of a graph G is a coloring of edges of G with colors 1,2,…,t such that all colors are used, and no two adjacent edges receive the same color. The set of colors of edges incident with a vertex ...
  • Luchko, V.S.; Petravchuk, A.P. (Algebra and Discrete Mathematics, 2007)
    We prove that a Lie nilpotent one-sided ideal of an associative ring R is contained in a Lie solvable two-sided ideal of R. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of ...
  • Agayeva, Ch.A.; Allahverdiyeva, J.J. (2007)
    The purpose of this paper is to give necessary conditions for the optimality of nonlinear stochastic control systems with variable delay and with constraint on the right end of a trajectory. The necessary optimality ...
  • Agayeva, C. (2007)
    A stochastic optimal control problem with variable delays in control is considered. The maximum principle for nonlinear stochastic control system with constrains in the right end of trajectory is proved.