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  • On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations 
    Kostin, A.V.; Skripnik, I.V. (Український математичний журнал, 1997)
    We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a ...
  • On asymptotic information integral inequalities 
    Veretennikov, A. (2007)
    Asymptotical versions of Bayesian Cramer – Rao inequalities are discussed.
  • On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight 
    Bertola, M.; Tovbis, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotics of recurrence coefficients for monic orthogonal polynomials πn(z) with the quartic exponential weight exp[−N(1/2z²+1/4tz⁴)], where t∈C and N∈N, N→∞. Our goal is to describe these asymptotic behaviors ...
  • On a Theoretical Study of the Properties of Solutions of the Limit Problem for a Magnetically Noninsulated Diode 
    Dulov, E.V.; Sinitsyn, A.V. (Український математичний журнал, 2005)
    In this paper, we study the lower and upper bounds for solutions of the limit problem for the plane vacuum diode in the magnetic field in the statement by N. Ben Abdallah, P. Degond, and F. Mehats. This problem was finally ...
  • On a Trivial Family of Noncommutative Integrable Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these ...
  • On automorphism groups of some modules 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2006)
    In this paper we investigated ZG-module A, where G is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup H of infinite ...
  • On autotopies and automorphisms of n-ary linear quasigroups 
    Marini, A.; Shcherbacov, V. (Algebra and Discrete Mathematics, 2004)
    In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of nary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary ...
  • On averaging difference equations on an infinite interval 
    Stanzhitskyi, O.M.; Ateiwi, A.M. (Нелінійні коливання, 2003)
    The averaging method on the semi-axis is justified for systems of difference equations. A theorem on closeness of the corresponding solutions of the exact and averaged systems on the semi-axis is proved. This theorem is ...
  • On a Whitham-Type Equation 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
  • On Baer-Shemetkov’s decomposition in modules and related topics 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2013)
    This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. ...
  • On beam propagation stability in a linac accelerating channel based on combined RF-focusing 
    Tishkin, S.S.; Shulika, M.G.; Shulika, O.M. (Вопросы атомной науки и техники, 2019)
    The issue of simultaneous longitudinal and transverse particle propagation stability in a linear ion accelerator channel based on combined RF-focusing is investigated. Values for RFQ field gradient to provide transverse ...
  • On biaxiality of photoinduced structures in azopolymer films 
    Kiselev, A.; Yaroshchuk, O.; Zakrevskyy, Yu.; Tereshchenko, A. (Condensed Matter Physics, 2001)
    Spatial orientational structures in the layers of liquid crystalline polymalonates are investigated using UV absorption method and the results of the null ellipsometry technique. Preferential in-plane alignment of ...
  • On Bijective Continuous Images of Absolute Null Sets 
    Kharazishvili, A. (Український математичний журнал, 2015)
    The images of absolute null sets (spaces) under bijective continuous mappings are studied. It is shown that, in general, such images do not possess regularity properties from the viewpoint of topological measure theory.
  • On Biomedical Computations in Cluster and Cloud Environment 
    Bardadym, T.; Gorbachuk, V.; Novoselova, N.; Osypenko, S.; Skobtsov, V.; Tom, I. (Кібернетика та комп’ютерні технології, 2021)
    The experience of the use of applied containerized biomedical software tools in cloud environment is summarized. The reproducibility of scientific computing in relation to modern technologies of scientific calculations is ...
  • On blow-up solutions and dead zones in semilinear equations 
    Gutlyanskii, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Доповіді НАН України, 2018)
    We study semilinear elliptic equations of the form div(A(z)∇u) = f(u) in Ω⊂ C, where A(z) stands for a symmetric 2×2 matrix function with measurable entries, det A =1, and such that 1/ K |ξ|² ≤ 〈A(z)ξ,ξ〉 ≤ K |ξ|², ξ ∈ R², ...
  • On boundary-value problems for generalized analytic and harmonic functions 
    Gutlyanskiĭ, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I.; Yefimushkin, A.S. (Доповіді НАН України, 2020)
    The present paper is a natural continuation of our last articles on the Riemann, Hilbert, Dirichlet, Poincaré, and, in particular, Neumann boundary-value problems for quasiconformal, analytic, harmonic functions and the ...
  • On boundary value problems for partial differential equations of the form ℒ⁺ A(u,ℒu) = f 
    Burskii, V.P. (Нелинейные граничные задачи, 2000)
    Generalizedly posed boundary value problems for equations of the types ℒ⁺ Aℒu = f and ℒ⁺A(u, ℒ u) = f, where ℒ is some general differential operation with smooth matrix coefficients in a general bounded domain Ω and A(∙, ...
  • On boundary value problems in domains without (A)-condition 
    Gutlyanskii, V.Ya.; Ryazanov, V.I.; Yakubov, E.; Yefimushkin, A.S. (Доповіді НАН України, 2019)
    We study the Hilbert boundaryvalue problem for the Beltrami equations in the Jordan domains satisfying the quasihyperbolic boundary condition by Gehring—Martio, generally speaking, without the standard (A)condition by ...
  • On bounded m-reducibilities 
    Belyaev, V.N. (Algebra and Discrete Mathematics, 2005)
  • On Brane Solutions Related to Non-Singular Kac-Moody Algebras 
    Ivashchuk, V.D.; Melnikov, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 × M1 × ... × Mn, where Mi are Einstein spaces (i ≥ 1). The sigma-model approach ...