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Перегляд Доповіді Національної академії наук України за назвою

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Перегляд Доповіді Національної академії наук України за назвою

Сортувати за: Порядок: Результатів:

  • On a new approach to the study of plane boundary-value problems 
    Gutlyanskiĭ, V.Ya.; Ryazanov, V.I.; Yefimushkin, A.S. (Доповіді НАН України, 2017)
    We give a short description of our recent results obtained by a new approach to the boundary-value problems, such as the Dirichlet, Hilbert, Neumann, Poincaré and Riemann problems, for the Beltrami equations and for ...
  • On a possibility of the blocking of DNA specific recognition sites by hydrogen peroxide molecules during ion beam therapy 
    Zdorevskyi, O.O.; Piatnytskyi, D.V.; Volkov, S.N. (Доповіді НАН України, 2019)
    Ion beam therapy is one of the most effective methods in treatment of cancer diseases. But up to nowadays, the mechanism of action of heavy ions on cancer cells has not been determined yet. Study of water fragmentation ...
  • 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 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 exact solutions of the nonlinear heat equation 
    Barannyk, A.F.; Barannyk, T.A.; Yuryk, I.I. (Доповіді НАН України, 2019)
    A method for construction of exact solutions to the nonlinear heat equation ut = (F (u)ux)x + G (u)ux + H (u), which is based on the ansatz p(x) = ω₁(t) φ(u) + ω₂(t), is proposed. The function p(x) is a solution of the ...
  • On Fredholm parameter-dependent boundary-value problem in Sobolev spaces 
    Atlasiuk, O.M.; Mikhailets, V.A. (Доповіді НАН України, 2020)
    We consider the most general class of linear inhomogeneous boundary-value problems for systems of r-th order ordinary differential equations whose solutions and right-hand sides belong to appropriate Sobolev spaces. ...
  • On groups, whose non-normal subgroups are either contranormal or core-free 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2020)
    We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of a group G is called contranormal in G, if G = H^G. A subgroup H of a group G is called core-free in G, if CoreG(H) ...
  • On ideals and contraideals in Leibniz algebras 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2020)
    A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal. Let L be an algebra over ...
  • On induced modules over locally Abelian-by-polycyclic groups of finite rank 
    Tushev, A.V. (Доповіді НАН України, 2019)
    We develop some methods for studying the modules over group rings, which are based on properties of induced modules and on the embedding of these modules in the modules over rings of quotients of group rings. Using these ...
  • On Leibniz algebras, whose subideals are ideals 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2017)
    We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz ...
  • On multivariate public key based on a pair of transformation with density gap 
    Ustimenko, V.A. (Доповіді НАН України, 2018)
    We propose an algorithm of generation of the stable families of bijective polynomial maps f(n) of the n-dimensional affine space over a commutative ring K together with their inverse transformations. All maps are given ...
  • On new expanders of unbounded degree for practical applications in informatics 
    Polak, M.; Ustimenko, V.A. (Доповіді НАН України, 2014)
    A method of construction of new examples of families of expander graphs of unbounded degree is presented. The property of being an expander seems significant in many of these mathematical, computational, and physical ...
  • On new key exchange multivariate protocols based on pseudorandom walks on incidence structures 
    Romańczuk-Polubiec, U.; Ustimenko, V.A. (Доповіді НАН України, 2015)
    A new key exchange protocol formulated in terms of multivariate cryptography and based on the elaboration of a common walk in the linguistic graph by correspondents is proposed. This algorithm is described in details in ...
  • On new multivariate cryptosystems based on hidden Eulerian equations 
    Ustimenko, V.A. (Доповіді НАН України, 2017)
    We propose new multivariate cryptosystems over an n-dimensional free module over the arithmetical ring Zm based on the idea of hidden discrete logarithm for Z*m. These cryptosystems are based on the hidden Eulerian ...
  • On new results on extremal graph theory, theory of algebraic graphs, and their applications 
    Ustimenko, V.O. (Доповіді НАН України, 2022)
    New explicit constructions of infinite families of finite small world graphs of large girth with well-defined projective limits which is an infinite tree are described. The applications of these objects to constructions ...
  • On new symbolic key exchange protocols and cryptosystems based on a hidden tame homomorphism 
    Ustimenko, V.A. (Доповіді НАН України, 2018)
    Multivariate cryptosystems are divided into public rules, for which tools of encryption are open for users and systems of the El Gamal type, for which the encryption function is not given in public, and, for its generation, ...
  • 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 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 some commutative invariants of modules over minimax nilpotent groups 
    Tushev, A.V. (Доповіді НАН України, 2022)
    In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, ...

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