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  • On influence of external low frequency helical perturbation on tokamak edge plasma 
    Pankratov, I.M.; Omelchenko, A.Ya.; Olshansky, V.V. (Вопросы атомной науки и техники, 2002)
  • On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants 
    Mokhov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z² defined by the condition that the determinants of all 3×3 matrices of values ...
  • On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems 
    Pavlov, M.V.; Popowicz, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a ...
  • On Integrable Perturbations of Some Nonholonomic Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux ...
  • On integral conditions in the mapping theory 
    Ryazanov, V.; Srebro, U.; Yakubov, E. (Український математичний вісник, 2010)
    It is established interconnections between various integral conditions that play an important role in the theory of space mappings and in the theory of degenerate Beltrami equations in the plane.
  • On Integration of One Class of Systems of Lax-Type Equations 
    Lunyov, A.A.; Oliynyk, E.V. (Журнал математической физики, анализа, геометрии, 2015)
    A nonlinear system of Lax-type equations is studied. The system is the basis of the construction of triangular models for commutative systems of linear non-selfadjoint bounded operators. Some of its solutions for n = 4 are ...
  • On intersections of normal subgroups in free groups 
    Kulikova, O.V. (Algebra and Discrete Mathematics, 2003)
    Let N₁ (respectively N₂) be a normal closure of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced words of the free group F(A). In the paper we consider geometric conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, ...
  • On intersections of normal subgroups in groups 
    Kulikova, O.V. (Algebra and Discrete Mathematics, 2004)
    The paper is a generalization of [2]. For a group H = ‹A|O›, conditions for the equality Ñ₁ ∩ Ñ₂ = Ñ₁, Ñ₂] are given in terms of pictures, where Ñi is the normal closure of a set R¯ i ⊂ H for i = 1, 2.
  • On invariant sets of differential equations with impulses 
    Tkachenko, V. I. (Нелінійні коливання, 1999)
    For a system of ordinary differential equations depending on a small parameter, defined on the direct product of a torus and aEuclidean space, and subjected to impulsive action on a submanifold of codimension 1 of the ...
  • On invariants of polynomial functions, II 
    Fukuma, Y. (Algebra and Discrete Mathematics, 2021)
    Let P be a finite partially ordered set. In our previous paper, we defined the sectional geometric genus gᵢ(P) of P and studied gᵢ(P). In this paper, by using this sectional geometric genus of P, we will give a criterion ...
  • On invariant torus of weakly connected systems of differential equations 
    Elnazarov, A. (Нелінійні коливання, 2005)
    We consider a family of systems of differential equations depending on a sufficiently small parameter with zero value of which we obtained a couple of independent systems. We used the method of Green – Samoilenko function ...
  • On inverse operations in the lattices of submodules 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2012)
    In the lattice L(RM) of submodules of an arbitrary left R-module RM four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations ...
  • On inverse problem for singular Sturm-Liouville operator from two spectra 
    Panakhov, E.S.; Yilmazer, R. (Український математичний журнал, 2006)
  • On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations 
    Catarino, P.; Higgins, P.M.; Levi, I. (Algebra and Discrete Mathematics, 2015)
    It is well-known [16] that the semigroup Tn of all total transformations of a given n-element set Xn is covered by its inverse subsemigroups. This note provides a short and direct proof, based on properties of digraphs of ...
  • On isometric dilations of commutative systems of linear operators 
    Zolotarev, V.A. (Журнал математической физики, анализа, геометрии, 2005)
  • On Isomorphism Between Certain Group Algebras on the Heisenberg Group 
    Egwe, M.E.; Bassey, U.N. (Журнал математической физики, анализа, геометрии, 2013)
    Let IHn denote the (2n + 1)-dimensional Heisenberg group and let K be a compact subgroup of Aut(IHn); the group of automorphisms of IHn. We prove that the algebra of radial functions on IHn and the algebra of spherical ...
  • On Issue of Comparison of the Unified Curve and Master Curve Methods and Application for RPV Structural Integrity Assessment 
    Margolin, B.Z.; Fomenko, V.N.; Gulenko, A.G.; Kostylev, V.I.; Shvetsova, V.A. (Проблемы прочности, 2016)
    Проанализированы два инженерных метода Master Curve и Unified Curve применительно к оценке сопротивления хрупкому разрушению корпусов реакторов. Для сравнения этих методов при обработке базы данных по вязкости разрушения ...
  • On iteration stability of the Birkhoff center with respect to power 2 
    Vlasenko, I.Yu.; Polulyakh, E.O. (Український математичний журнал, 2006)
    It is proved that the Birkhoff center of a homeomorphism on an arbitrary metric space coincides with the Birkhoff center of its power 2.
  • On Jacobi Inversion Formulae for Telescopic Curves 
    Ayano, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For a hyperelliptic curve of genus g, it is well known that the symmetric products of g points on the curve are expressed in terms of their Abel-Jacobi image by the hyperelliptic sigma function (Jacobi inversion formulae). ...
  • On Jan Twardowski’s indexical biblionyms 
    Yermolenko, S.S. (Мовознавство, 2014)
    The author focuses on the titles of poetic works of the Polish poet Jan Twardowski which he calls indexical, explaining their specific nature as determined by semiotic features of motivation proper to them as poetic text ...