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1989, Volume 305, Number 1  


MATHEMATICS
Completeness of systems of exponentials in convex domains
V. S. Azarin, V. B. Giner
11
Proper products of multiparametric Sturm–Liouville matrix equations
M. S. Almamedov
14
Theory of the stability of additive difference schemes in Banach spaces
N. Yu. Bakaev
18
Algorithmic dimension of models
Yu. G. Ventsov
21
The problem of the accumulation of oscillations in mechanical systems with a finite number of degrees of freedom
V. I. Zubov
24
Decomposable statistics and a class of stopping times for multinomial experiments
G. I. Ivchenko
26
A problem for a parabolic-hyperbolic equation with a nonlocal gluing condition for the normal derivatives on the line of change of type
N. Yu. Kapustin
31
Fractional integrals on curves
V. M. Kokilashvili
33
Extensions of Hermitian sectorial operators and dual pairs of contractions
M. M. Malamud
35
The Lyapunov hierarchical matrix function and stability under structural perturbations
A. A. Martynyuk
41
Factorization of matrix functions of special form
N. G. Moiseev
44
Solvability of infinite-order nonlinear differential equations in unbounded domains
Tran Duc Van, Ha Huy Bang
48

GEOPHYSICS
On the investigation of convection mechanism in the Earth upper mantle
Yu. P. Bulashevich, Yu. V. Khachai
52
Short-period shear wave attenuation in the lithosphère and asthenosphere of the platform regions
Yu. F. Kopnichev
56

MATHEMATICAL PHYSICS
Dissipativity conditions in Hamiltonian mechanics
O. Yu. Dinariev
60
Nonequilibrium thermodynamics of evolution equations
O. B. Moskalev
63

PHYSICS
Plane electromagnetic wave diffraction on a semi-infinite arbitrarily shaped, perfectly conductive cylinder
E. N. Vasil'ev, V. V. Nasochevsky
68
Kinetics of the accumulation and recombination of excitations in fractal systems
I. M. Sokolov
71

CRYSTALLOGRAPHY
Crystal structure of zirconium molybdate, $\mathrm{Zr}(\mathrm{MoO}_4)_2$
R. F. Klevtsova, L. A. Glinskaya, E. S. Zolotova, P. V. Klevtsov
91
Crystal structure of a new $\mathrm{Be}(\mathrm{OH})_2$ natural modification
T. N. Nadezhina, D. Yu. Pushcharovskii, R. K. Rastsvetaeva, A. V. Voloshin, I. F. Burshtein
95
 
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