Contents
Vestnik St. Petersburg University: Mathematics

Vol. 40, No. 1, 2007

Simultaneous English language translation of the journal is available from Allerton Press, Inc.
Distributed worldwide by Springer. Vestnik St. Petersburg University: Mathematics ISSN 1063-4541.

On a Singular Point with One Zero Characteristic Root

A. F. Andreev p. 1  abstract

Generalized Normal Forms for Two-Dimensional Systems
of Ordinary Differential Equations with Linear and Quadratic Unperturbed Parts

V. V. Basov and A. A. Fedotov p. 6  abstract

On the Local Topological Conjugacy of Essentially Nonlinear Systems
in the Neighborhood of Invariant Surfaces which Consist of Equilibrium Points

A. A. Bogolyubov p. 27  abstract

On the Existence of a Local–Integral Manifold of Neutral Type
for an Essentially Nonlinear System of Differential Equations

Yu. A. Il’in p. 36  abstract

Structural Stability of Invariant Sets of Vibro-Impact Systems

S. G. Kryzhevich p. 46  abstract

Equations of Motion of a Charged Particle in a Five-Dimensional Model
of the General Theory of Relativity with a Nonholonomic Four-Dimensional Velocity Space

V. R. Krym and N. N. Petrov p. 52  abstract

On Interior Points of a Set of Equations with Singular Periodic Solutions

Yu. V. Churin p. 61  abstract

Constructing Smooth Interpolation Splines

I. G. Burova and A. F. Demina p. 65  abstract

Norms of Generalized Abel–Poisson Sums

V. V. Zhuk and S. Yu. Pimenov p. 72  abstract

Invariant Stabilization of Nonlinear Discrete Systems

I. E. Zuber and A. Kh. Gelig p. 80  abstract

On One Algebraic Identity in the Theory of B-Splines of Degree Two

A. A. Makarov p. 85  abstract

The Lattice of Completely Simple Subsemigroups of a Completely Simple Semigroup

Z. J. Tian p. 89  abstract

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