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  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Kengne, E. (Нелінійні коливання, 2003)
    Методом Ляпунова знайдено достатню умову стiйкостi руху нелiнiйного маятника.
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Denisov, V. (Нелинейные граничные задачи, 2000)
    This work was supported by Russian Grant no. 99-01-00072.
  • Bebiya, M.O.; Korobov, V.I. (Журнал математической физики, анализа, геометрии, 2016)
    In the present paper, the stabilization problem for the uncontrollable with respect to the first approximation nonlinear system with power principal part is solved. A class of stabilizing controls for the nonlinear ...
  • Dykema, K.; Juschenko, K. (Algebra and Discrete Mathematics, 2015)
    For an arbitrary field or division ring K and an arbitrary group G, stable finiteness of K[G] is equivalent to direct finiteness of K[G×H] for all finite groups H.
  • Novogrudskii, L.S.; Strizhalo, V.A. (Проблемы прочности, 2010)
    Рассмотрены и проанализированы основные положения стандартов АSТМ, ISO и ГОСТ, которые регламентируют метод испытаний металлов на растяжение при температуре жидкого гелия. Определены основные факторы, обусловливающие ...
  • Altinok, H.; Et, M.; Gökhan, A. (Український математичний журнал, 2006)
  • Chulkov, D.A.; Trushin, D.I. (Advances in Astronomy and Space Physics, 2012)
    The semi-major axis is a key parameter of binary stellar systems. In order to obtain current semi-major axis distribution we investigated a volume-limited sample of the binaries in solar neighbourhood. Obtained distribution ...
  • Alavi, S.A. (Вопросы атомной науки и техники, 2007)
    We study the formulation of quantum statistical mechanics in noncommutative spaces. We construct microcanonical and canonical ensemble theory in noncommutative spaces and study some basic and important examples in the ...
  • Lepeyev, A.N. (2006)
    The paper deals with one-dimensional homogeneous stochastic differential inclusions without drift with a Borel measurable right side. Using a new method of explicit solutions, the necessary and sufficient conditions for ...
  • Skiba, A.N.; Vorob’ev, N.N. (Algebra and Discrete Mathematics, 2007)
    Totally local Fitting classes with a Stone lattice of totally local Fitting subclasses are described.