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Перегляд Український математичний журнал, 2012, том 64 за назвою

Репозиторій DSpace/Manakin

Перегляд Український математичний журнал, 2012, том 64 за назвою

Сортувати за: Порядок: Результатів:

  • Extension of holomorphic mappings for several moving hypersurfaces 
    Si Duc Quang (Український математичний журнал, 2012)
    We prove the big Picard theorem for holomorphic curves from a punctured disk into P ⁿ(C) with n + 2 hypersurfaces. We also prove a theorem on the extension of holomorphic mappings in several complex variables into a ...
  • FD-method for solving the nonlinear Klein–Gordon equation 
    Dragunov, D.V.; Makarov, V.L.; Sember, D.A. (Український математичний журнал, 2012)
    We propose a functional discrete method for solving the Goursat problem for the nonlinear Klein–Gordon equation. Sufficient conditions for the superexponential convergence of this method are established. The obtained ...
  • Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric 
    Volosivets, S.S.; Golubov, B.I. (Український математичний журнал, 2012)
    For functions f ∈ L¹ (ℝ+) with cosine (sine) Fourier transforms f^c (f^s) in L¹ (ℝ), we give necessary and sufficient conditions in terms of f^c (f^s) for f to belong to generalized Lipschitz classes H^ω,m and h^ω,m ...
  • Generalized relaxed elastic line on an oriented surface 
    Özkan, G.; Yücesan, A. (Український математичний журнал, 2012)
    We study a relaxed elastic line in the general case on an oriented surface. In particular, we obtain a differential equation with three boundary conditions for a generalized relaxed elastic line. Then we analyze the results ...
  • Generalized Weyl theorem and tensor product 
    Rashid, M.H.M. (Український математичний журнал, 2012)
    We give necessary and/or sufficient conditions for the extension of the generalized a-Weyl theorem and property (gw) from A and B to A ⨂ B.
  • Impulsive differential inclusions involving evolution operators in separable Banach spaces 
    Benchohra, M.; Nieto, J.J.; Ouahab, A. (Український математичний журнал, 2012)
    We present some results on the existence of mild solutions and study the topological structures of the sets of solutions for the following first-order impulsive semilinear differential inclusions with initial and boundary ...
  • Integral manifolds for semilinear evolution equations and admissibility of function spaces 
    Vu Thi Ngoc Ha; Nguyen Thieu Huy; Ha Phi (Український математичний журнал, 2012)
    We prove the existence of integral (stable, unstable, and center) manifolds for the solutions to a semilinear integral equation in the case where the evolution family (U(t, s)) t≥s has an exponential trichotomy on a half ...
  • Inverse problem for the interior spectral data of the equation of hydrogen atom 
    Panakhov, E.S.; Sat, M. (Український математичний журнал, 2012)
    We consider the inverse problem for the second-order differential operators with regular singularity and show that the potential function can be uniquely determined by the set of values of eigenfunctions at a certain ...
  • Iteration process for multiple rogers–ramanujan identities 
    Chu, W.; Wang, C. (Український математичний журнал, 2012)
    Replacing the monomials by an arbitrary sequence in the recursive lemma found by Bressoud (1983), we establish several general transformation formulas from unilateral multiple basic hypergeometric series to bilateral ...
  • Mикола Іванович Шкіль (до 80-річчя від дня народження) 
    Королюк, В.С.; Луковський, І.О.; Перестюк, М.О.; Працьовитий, М.В.; Самойленко, А.М.; Яковець, В.П. (Український математичний журнал, 2012)
    13 грудня 2012 року виповнилось 80 років академіку Національної академії педагогічних наук України, доктору фізико-математичних наук, професору Миколі Івановичу Шкілю.
  • On Agarwal–Pang-type integral inequalities 
    Zhao, C.J.; Bencze, M. (Український математичний журнал, 2012)
    We establish some new Agarwal–Pang-type inequalities including second-order partial derivatives. In special cases, our results yield some correlated results and provide new estimates for the inequalities of this type.
  • On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents 
    Nyamoradi, N. (Український математичний журнал, 2012)
    We consider a quasilinear elliptic system involving the critical Hardy–Sobolev exponent and the Sobolev exponent. We use variational methods and analytic techniques to establish the existence of positive solutions of the system.
  • On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis 
    Sekatskii, S.K.; Beltraminelli, S.; Merlini, D. (Український математичний журнал, 2012)
    By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann ...
  • On impulsive Sturm–Liouville operators with singularity and spectral parameter in boundary conditions 
    Amirov, R.Kh.; Guldu, Y.; Topsakal, N. (Український математичний журнал, 2012)
    We study properties and the asymptotic behavior of spectral characteristics for a class of singular Sturm–Liouville differential operators with discontinuity conditions and an eigenparameter in boundary conditions. We also ...
  • On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment 
    Skorokhodov, D.S. (Український математичний журнал, 2012)
    We study the following modification of the Landau–Kolmogorov problem: Let k; r ∈ ℕ, 1 ≤ k ≤ r − 1, and p, q, s ∈ [1,∞]. Also let MM^m, m ∈ ℕ; be the class of nonnegative functions defined on the segment [0, 1] whose ...
  • On properties of n-totally projective Abelian p-groups 
    Danchev, P.; Keef, P. (Український математичний журнал, 2012)
    We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total ...
  • 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 the complexity of the ideal of absolute null sets 
    Zakrzewski, P. (Український математичний журнал, 2012)
    Answering a question posed by Banakh and Lyaskovska, we prove that, for an arbitrary countable infinite amenable group G, the ideal of sets having μ-measure zero for every Banach measure μ on G is an Fσδ subset of {0; 1}G.
  • On the Gauss sums and generalized Bernoulli numbers 
    Gao, J.; Liu, H. (Український математичний журнал, 2012)
    Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.
  • On the generalized convolution for Fc, Fs, and K–L integral transforms 
    Virchenko, N.O.; Thao, N.X. (Український математичний журнал, 2012)
    We study new generalized convolutions with weight function for the Fourier cosine, Fourier sine, and Kontorovich – Lebedev integral transforms in weighted function spaces with two parameters. These generalized convolutions ...

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