Vol. 59 No. 1 (2007)

Published: 25.01.2007

Research articles

A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems

О. A. Boichuk

3–13
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FD-method for an eigenvalue problem with nonlinear potential

I. P. Gavrilyuk, A. V. Klymenko, V. L. Makarov, N. O. Rossokhata

14–28
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- Springer
Coconvex approximation of periodic functions

V. D. Zalizko

29–43
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Specific features of application of perturbation techniques in problems of nonlinear oscillations of a liquid with free surface in cavities of noncylindrical shape

O. S. Limarchenko

44–70
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Invariant tori of locally Hamiltonian systems close to conditionally integrable systems

Yu. V. Loveikin, I. O. Parasyuk

71–98
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- Springer
Investigation of the structure of the set of continuous solutions of systems of nonlinear difference equations with continuous argument

G. P. Pelyukh

99–108
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Nonlocal Dirichlet problem for linear parabolic equations with degeneration

I. D. Pukalskyi

109–121
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Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

V. G. Samoilenko, Yu. I. Samoilenko

122–132
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- Springer

Short communications

Locally graded groups with normal nonmetacyclic subgroups

V. I. Kovalenko

133–135
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Representation of solutions of one integro-differential operator equation

Yu. S. Linchuk

136–139
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On one class of topological *-algebras with standard identities

S. V. Tishchenko

140–143
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- Springer