Vol. 57 No. 12 (2005)

Published: 25.12.2005

Research articles

Construction of solutions for the problem of free oscillations of an ideal liquid in cavities of complex geometric form

M. Ya. Barnyak

1587–1600
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Best uniform approximation of a continuous compact-valued mapping by sets of continuous single-valued mappings

U. V. Hudyma

1601–1618
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Rate of convergence for Szász-Bézier operators

Vijay Gupta

1619–1624
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General time-dependent bounded perturbation of a strongly continuous semigroup

M. V. Kartashov

1625–1632
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Kolmogorov and linear widths of classes of s-monotone integrable functions

V. N. Konovalov

1633–1652
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Cauchy problem with Riesz operator of fractional differentiation

V. A. Litovchenko

1653–1667
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On the behavior of solutions of linear functional differential equations with constant coefficients and linearly transformed argument in neighborhoods of singular points

D. V. Bel’skii, G. P. Pelyukh

1668–1676
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On one extremal problem for positive series

O. I. Stepanets, A. L. Shydlich

1677–1683
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Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations

T. B. Fastovska

1684–1697
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Spectral representation for generalized operator-valued Toeplitz kernels

O. B. Chernobai

1698–1710
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Short communications

On a special critical case of stability of a nonautonomous essentially nonlinear system

I. E. Vitrychenko

1711–1718
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Destabilizing effect of random parametric perturbations of the white-noise type in some quasilinear continuous and discrete dynamical systems

D. G. Korenevsky

1719–1724
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Index

Index of volume 57 of „Ukrainian Mathematical Journal”

1725-1729
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