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Vol. 61 No. 7 (2009)

Published: 25.07.2009

Research articles

Classical solvability of a problem with moving boundaries for a hyperbolic system of quasilinear equations

R. V. Andrusyak, N. O. Burdeina, V. M. Kirilich

867-891
- PDF (Ukrainian)
- Springer
Generalized procedure of separation of variables and reduction of nonlinear wave equations

T. A. Barannyk, A. F. Barannyk, I. I. Yuryk

892-905
- PDF (Ukrainian)
- Springer
Lax-integrable Laberge–Mathieu hierarchy of supersymmetric nonlinear dynamical systems and its finite-dimensional reduction of Neumann type

О. Ye. Hentosh

906-921
- PDF (Ukrainian)
- Springer
Convergence of solutions of backward stochastic equations

I. A. Erisova

922-938
- PDF (Ukrainian)
- Springer
Arithmetic of semigroups of series in multiplicative systems

I. P. Il’inskaya

939–947
- PDF (Russian)
- Springer
Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations

N. A. Perestyuk, V. Yu. Slyusarchuk

948-957
- PDF (Ukrainian)
- Springer
On expansions of numbers in alternating s-adic series and Ostrogradskii series of the first and second kind

I. M. Prats’ovyta

958-968
- PDF (Ukrainian)
- Springer
Generalization of one Poletskii lemma to classes of space mappings

E. A. Sevost'yanov

969-975
- PDF (Russian)
- Springer
Mathematical modeling of nilpotent subsemigroups of semigroups of contracting transformations of a Boolean

N. V. Selezneva

976-985
- PDF (Ukrainian)
- Springer

Short communications

Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$

A. N. Adamov

986-995
- PDF (Russian)
- Springer
Inequalities of the Bernstein type for splines of defect 2

V. F. Babenko, N. V. Parfinovych

995-999
- PDF (Russian)
- Springer
On the action of derivations on nilpotent ideals of associative algebras

V. S. Luchko

1000-1004
- PDF (Russian)
- Springer
Equivalence of two methods for construction of regular continued C-fractions

R. A. Katsala, M. M. Pahirya

1005-1009
- PDF (Ukrainian)
- Springer