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Перегляд Український математичний журнал, 1994, том 46 за темою "Статті"

Репозиторій DSpace/Manakin

Перегляд Український математичний журнал, 1994, том 46 за темою "Статті"

Сортувати за: Порядок: Результатів:

  • A relation between two results concerning entire functions of exponential type 
    Koosis, P. (Український математичний журнал, 1994)
    It is shown that the Beurling - Maliiavin multiplier theorem for the entire functions of exponential type can be derived from certain estimates for polynomials on the complex plane.
  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. I 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    A new method of asymptotic analysis of nonlinear dynamical systems is developed with extensive use of group-theoretical methods. The technique of normalization, which is named an "asymptotic decomposition" by the authors, ...
  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. II 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    By using a new method suggested in the first part of the present work, we study systems which become linear in the zero approximation and have perturbations in the form of polynomials. This class of systems has numerous ...
  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. III 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    We describe the technique of normalization based on the method of asymptotic decomposition in the space of representation of a finite-dimensional Lie group. The main topics of the theory necessary for understanding the ...
  • Existence of а multiplicative basis for a finitely spaced module over an aggregate 
    Roiter, A.V.; Sergeichuk, V.V. (Український математичний журнал, 1994)
    It is proved that a finitely spaced module over a k-category admits a multiplicative basis such a module gives to a matrix problem, in which the allowed column transformations are determined by a module structure, the row ...
  • Finite-difference approximation of first-order partial differential-functional equations 
    Kamont, Z. (Український математичний журнал, 1994)
    We consider initial-boundary-value problems of the Dirichlet type for nonlinear equations. We give sufficient conditions of convergence of a general class of one-step difference methods. We assume that the right-hand side ...
  • Gelfand pair associated with a Hoph algebra and a coideal 
    Chapovsky, Yu. (Український математичний журнал, 1994)
    A pair of a compact quantum group and a coideal in its dual Hopf *-algebra is considered. A notion of a Gelfand pair and a strict Gelfand pair is introduced. For a strict Gelfand pair, two hypercomplex systems dual to each ...
  • Generalized Green's matrix for linear pulse boundary-value problems 
    Karandjulov, L.I. (Український математичний журнал, 1994)
    An algebraic criterion of solvability and the structure of a general solution are found for a linear boundary-value problem for systems of differential equations with pulse effects. The generalized Green's matrix is constructed.
  • Handle decompositions of simply-connected five-manifolds. III 
    Shkol`nikov, Yu.A. (Український математичний журнал, 1994)
    We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of ...
  • New aspects of Krein`s extension theory 
    Brasche, J.F.; Koshmanenko, V.; Neidhardt, H. (Український математичний журнал, 1994)
    The extension problem for closed symmetric operators with a gap is studied. A new kind of parametrization of extensions (the so-called Krein model) is developed. The notion of a singular operator plays the key role in our ...
  • On the behavior of solutions of operator-differential equations at infinity 
    Butyrin, A.A. (Український математичний журнал, 1994)
    The existence of limits at the infinity, generalized in the Abel sense, is established for bounded solutions of the operator-differential equation y′(t)=Ay(t) in a reflexive Banach space.
  • On the coordinated approximation method for nonlinear ill-posed problems 
    Pham Ky Anh (Український математичний журнал, 1994)
    A generalization of the method of coordinated approximation suggested by Yu. Gaponenko [1] for the space L₂(0,1) is developed for abstract Hilbeit spaces. In particular, it is shown that, for L₂(0,1), some assumptions ...
  • On time dependent orthogonal polynomials on the unit circle 
    Ben-Artzi, A.; Gohberg, I. (Український математичний журнал, 1994)
    Two index formulas for operators defined by infinite band matrices are proved. These results may be interpreted as a generalization of the classical theorem of M. G. Krein for orthogonal polynomials. The proofs are based ...
  • Remarks on monotone and convex approximation by algebraic polynomials 
    Kopotun, K.A.; Listopad, V.V. (Український математичний журнал, 1994)
  • Separation of variables in the two-dimensional wave equation with potential 
    Zhdanov, R.Z.; Revenko, I.V.; Fushchych, W.I. (Український математичний журнал, 1994)
    The paper is devoted to solution of a problem of separation of variables in the wave equation utt−uxx+V(x)u=0. We give a complete classification of potentials V(x) for which this equation admits a nontrivial separation of ...
  • Story of rational approximation for the class of Stiltjes functions: from Stiltjes to recent optimal estimations of errors 
    Gilewicz, J. (Український математичний журнал, 1994)
    The history of obtaining inequalities for Pade approximant error in the Stieltjes case is given. Inequalities optimal with respect to the order are obtained for these approximants by using results of J. Vinuesa and A. P. Magnus.
  • The characteristics of the sum of a multidimensional series 
    Makarov, V.Yu. (Український математичний журнал, 1994)
    We study the relationship between the asymptotic behavior of coefficients of a multidimensional series of exponents and the asymptotic behavior of its sum near a point on the boundary of the domain of convergence. Growth ...
  • T-дифференцируемые функционалы и их критические точки 
    Мельник, В.С. (Український математичний журнал, 1994)
    The critical points of the functionals F:D ⊂ X → R defined on "nonlinear" sets D in the topological vector spaces X are studied. A construction of a T-derivative is suggested for these functionals and compared with to known ...
  • Unitary colligations and parametrization formulas 
    Arocena, R. (Український математичний журнал, 1994)
    This paper aims to describe, in a rather sketchy but relatively selfcontained way, some relations between the unitary colligations, which are regarded as linear systems, and the parametrization formulas for the solutions ...
  • Аппроксимационный метод в задачах механики для неоднородных наследственно-упругих тел 
    Синайский, Е.С. (Український математичний журнал, 1994)
    Розглядається крайова задача механіки для неоднорідного спадкопружного тіла, яка формулюється як лінійне рівняння з оператором дробового інтегрування, частинними похідними за змінними часу та простору та коефіцієнтами ...

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