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  • On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang-Baxter equations.
  • On some Ramanujan identities for the ratios of Eta-functions 
    Bhargava, S.; Vasuk, K.R.; Rajanna, K.R. (Український математичний журнал, 2014)
    We give direct proofs of some of Ramanujan’s P-Q modular equations based on simply proved elementary identities from Chapter 16 of his Second Notebook.
  • On some topics in the theory of infinite dimensional linear groups 
    Dixon, M.R.; Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2020)
    In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional ...
  • On some topological properties for special Classes of banach spaces. Part 2 
    Kasyanov, P.; Mel'nik, V. (2008)
    We consider some classes of infinite-dimensional Banach spaces with integrable derivatives. A compactness lemma for nonreflexive spaces is obtained. However some main topological properties for the given spaces are obtained.
  • On sound wave spectra in biaxial nematic crystals 
    Kovalevsky, М.Y.; Shishkin, А.L. (Вопросы атомной науки и техники, 2001)
    On the basis of the Hamiltonian approach dynamics of biaxial nematics surveyed and the deduction of the nonlinear equations of ideal hydrodynamics, taking into account the shape, (disk-shaped and rod-shaped of a molecule) ...
  • On Spaces of Boundary Values for Relations Generated by a Formally Selfadjoint Expression and a Nonnegative Operator Function 
    Bruk, V.M. (Журнал математической физики, анализа, геометрии, 2006)
    The space of boundary values for a maximal relation generated by a formally selfadjoint di erential expression and a nonnegative operator function is constructed.
  • On Special Berwald Metrics 
    Tayebi, A.; Peyghan, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic ...
  • On speciality of Jordan brackets 
    Shestakov, I. (Algebra and Discrete Mathematics, 2009)
    We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The ...
  • On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation 
    Kappeler, T.; Widmer, Y. (Журнал математической физики, анализа, геометрии, 2018)
    We analyze the periodic spectrum of the L operator in the Lax pair of the sine-Gordon equation in terms of the regularity of the potential.
  • On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian 
    Krasovsky, I.V. (Физика низких температур, 1995)
    The uniaxially anisotropic Heisenberg Hamiltonian H is considered, which describes a simple lattice of spins and incorporates first-nearest, ..., m-nearest neighbour interactions under the condition that Jjαj ≥ 0, j = 1, ...
  • On spectra of a certain class of quadratic operator pencils with one-dimensional linear part 
    Pivovarchik, V.N. (Український математичний журнал, 2007)
    We consider a class of quadratic operator pencils that occur in many problems of physics. The part of such a pencil linear with respect to the spectral parameter describes the viscous friction in problems of small ...
  • On spectra of microwave oscillations of the 0-degree domain wall in a cubic ferromagnetic 
    Vakhitov, R.M.; Sergeyev, E.I. (Functional Materials, 2006)
    A cubic ferromagnetic with uniaxial anisotropy induced along the [111] axis is considered that contains a defect as a slab-like magnetic inclusion. It is assumed that a magnetic inhomogeneity is localized on that inclusion, ...
  • On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients 
    Kholkin, A.M.; Rofe-Beketov, F.S. (Журнал математической физики, анализа, геометрии, 2014)
    For the Sturm-Louville equation with block-triangular matrix potential that increases at infinity, both increasing and decreasing at infinity matrix solutions are found. The structure of spectrum for the differential ...
  • On Spinor Varieties and Their Secants 
    Manivel, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at ...
  • On spiral superfluidity in the Fermi-liquid model 
    Shul’ga, S.N.; Yatsenko, A.A. (Вопросы атомной науки и техники, 2001)
    In this work we propose a model of description of a superfluid Fermi liquid with a spiral ordering by spins. The method of description is similar to that of description of spiral magnetics. Self-consistency equations for ...
  • On split metacyclic groups 
    He-guo Liu; Yan Yang (Український математичний журнал, 2012)
    We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and |K| = exp G.
  • On square-Hamiltonian graphs 
    Protasova, K.D. (Algebra and Discrete Mathematics, 2005)
    A finite connected graph G is called squareHamiltonian if G² is Hamiltonian. We prove that any join of the family of Hamiltonian graphs by tree is square-Hamiltonian. Applying this statement we show that the line graph ...
  • On S-quasinormally embedded subgroups of finite groups 
    Al-Sharo, Kh.A.; Shemetkova, O.; Xiaolan Yi (Algebra and Discrete Mathematics, 2012)
    Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal ...
  • On ss-quasinormal and weakly s-supplemented subgroups of finite groups 
    Li, C.; Li, Y. (Український математичний журнал, 2011)
    Suppose that G is a finite group and H is a subgroup of G. H is called ss-quasinormal in G if there is a subgroup B of G such that G=HB and H permutes with every Sylow subgroup of B; H is called weakly s-supplemented in G ...
  • On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities 
    Ben Nasser, B.; Boukerrioua, K.; Hammami, M.A. (Журнал математической физики, анализа, геометрии, 2015)
    In the paper, new nonlinear time scale integral inequalities are given. By means of the explicit integral bounds, we derive suffcient conditions for the uniform asymptotic stability of perturbed systems on time scales. In ...