Vol. 53 No. 2 (2001)

Published: 25.02.2001

Research articles

Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure

A. A. Dovgoshei

147-155
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On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. I

Ya. M. Dymarskii

156-167
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Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. I

N. V. Zorii

168-189
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An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy

I. I. Verba, I. M. Kolody

190-202
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Asymptotic Characteristics of Compact Sets and Stepanets Classes

B. D. Kotlyar

203-210
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Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials

M. I. Kuchma

211-219
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Finite-Dimensional Reductions of Conservative Dynamical Systems and Numerical Analysis. I

S. Brzychczy, A. K. Prykarpatsky, V. G. Samoilenko

220-228
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Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I

V. S. Romanyuk

229-237
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Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions

S. B. Vakarchuk

250-254
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Short communications

Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment

Yu. V. Babenko

238-243
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A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain

N.I. Bilusyak, B. I. Ptashnik

244-249
- PDF (Ukrainian)
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On Completeness of a System of Functions in an Angular Domain

V. M. Dilnyi

255-257
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On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function

A. E. Zernov

258-262
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Singularities of Toric Manifolds

T. V. Obikhod

263-267
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On One Class of Separable Dedekind Groups

O.O. Odintsova

269-273
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On Multiplicativity of Canonical Diagonal Forms of Matrices over the Domain of Principal Ideals. II

V. M. Prokip

274-277
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A New Morera-Type Theorem on a Unit Disk

V. E. Silenko

278-281
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Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions

A. N. Stanzhitskii

282-285
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An Exact Estimate for the Measure of the Exceptional Set in the Borel Relation for Entire Functions

P. V. Filevych

286-288
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- Springer