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  • 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 ...
  • On stability of a nonlinear pendulum 
    Kengne, E. (Нелінійні коливання, 2003)
    Методом Ляпунова знайдено достатню умову стiйкостi руху нелiнiйного маятника.
  • On Stability of a Unit Ball in Minkowski Space with Respect to Self-Area 
    Shcherba, A.I. (Журнал математической физики, анализа, геометрии, 2011)
    The author expresses his sincere gratitude to V.I. Diskant for his useful discussions of the considered problem.
  • On Stability of Parametrically Excited Linear Stochastic Systems. 
    Labou, М. (Прикладная механика, 2010)
    The dynamic stability of a coupled two-degrees-of-freedom system subjected to parametric excitation by a harmonic action superimposed by an ergodic stochastic process is investigated. For the stability analysis, the ...
  • On Stability of Polynomially Bounded Operators 
    Muraz, G.; Quoc Phong Vu (Журнал математической физики, анализа, геометрии, 2007)
    We prove that if T is a polynomially bounded operator and the peripheral spectrum of T has zero measure, then Tⁿx → 0 for all x in X if and only if T* has no nontrivial invariant subspace on which it is invertible and ...
  • On Stability of the Cauchy Equation on Solvable Groups 
    Faiziev, V.A.; Sahoo, P.K. (Український математичний журнал, 2015)
    The notion of (ψ, γ)-stability was introduced in [V. A. Faiziev, Th. M. Rassias, and P. K. Sahoo, Trans. Amer. Math. Soc., 354, 4455 (2002)]. It was shown that the Cauchy equation f(xy) = f(x) + f(y) is (ψ, γ)-stable both ...
  • On stability of the Hill's equation with damping 
    Cattani, C.; Grebenikov, E.A.; Prokopenya, A.N. (Нелінійні коливання, 2004)
    We consider the Hill’s equation with damping describing the parametric oscillations of the torsional pendulum excited by means of varying the moment of inertia of the rotating body. Using the method of a small parameter ...