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Vol. 56 No. 1 (2004)

Published: 25.01.2004

Research articles

Construction of Floquet–Bloch Solutions and Estimation of Lengths of Resonance Zones of One-Dimensional Schrödinger Equation with Smooth Potential

O. M. Denysenko, I. O. Parasyuk

3-18
- PDF (Ukrainian)
- Springer
On Stability of Solutions of a Stochastic Equation

A. Ya. Dorogovtsev

19-30
- PDF (Russian)
- Springer
Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism

V. M. Ivanchenko

31-50
- PDF (Russian)
- Springer
Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients

T. O. Kononovych

51-69
- PDF (Ukrainian)
- Springer
On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$

A.B. Metelichenko

70-77
- PDF (Russian)
- Springer
On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable

Manh Hung Nguyen, Trieu Duong Pham

78-87
- PDF
- Springer
Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra

D. Blackmore, A. K. Prykarpatsky, A. M. Samoilenko

88-96
- PDF
- Springer
Approximation of Poisson Integrals by de la Vallée Poussin Sums

A. S. Serdyuk

97-107
- PDF (Ukrainian)
- Springer
Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings

V. I. Urmanchev

108-118
- PDF (Russian)
- Springer

Short communications

Convolutions of Singular Distribution Functions

Ya. F. Vynnyshyn

119-122
- PDF (Ukrainian)
- Springer
Second Jackson Inequality in a Sign-Preserving Approximation of Periodic Functions

M. G. Pleshakov, P. A. Popov

123-128
- PDF (Russian)
- Springer
The Best $m$ -Term Trigonometric Approximations of the Classes $L_{\beta ,p}^\Psi$ in Uniform Metric

A. S. Fedorenko, O.S. Fedorenko

129-132
- PDF (Ukrainian)
- Springer
On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$

A. L. Shydlich

133-138
- PDF (Ukrainian)
- Springer
Systems of Differential Inequalities with Initial Time Difference

T. Jankowski

139-145
- PDF
- Springer