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1978, Volume 239, Number 3  


MATHEMATICS
On $\alpha$-expanded spaces
A. V. Arkhangel'skii
505
On a majorant of the partial sums for a rearranged Walsh system
S. V. Bochkarev
509
On the space of cusp functions for a Fuchsian group of the first kind with nontrivial commensurator
A. B. Venkov
511
The first boundary value problem for a parabolic equation with boundary function in $L_2$
V. M. Govorov
515
On a class of methods for solving nonlinear programming problems
A. I. Golikov, Yu. G. Evtushenko
519
Asymptotics of the spectral function of singular differential operators
N. I. Kipriyanova
523
A relation between the natural deduction rules and operators of higher level algorithmic languages
N. N. Nepeivoda
526
On Saint-Venant's principle in plane elasticity theory
O. A. Oleinik, G. A. Iosif'yan
530
On the theory of upper and lower solutions for the nonlinear transport equation
V. P. Polityukov
534
On a topological characteristic of general nonlinear elliptic operators
I. V. Skrypnik
538
Linear coefficients of quasi-conformality for a pair of domains
A. V. Sychev
542
Chains and cardinals
M. G. Tkachenko
546

FLUID MECHANICS
Lowering of the order of a system of equations of hydrodynamic type allowing simple degeneracy
L. N. Maurin
550

THEORY OF ELASTICITY
On the problem of bending of shallow cylindrical shells with a circular or elliptic hole
N. P. Bulia
554

ASTRONOMY
The Milne problem for an inhomogeneous atmosphere
V. V. Sobolev
558

GEOPHYSICS
The nature of temporal variations of teleseismic waves $P$ in the Northern Tien Shan
N. I. Kim, A. V. Nikolaev
562
A planet evolution hydrodynamic model with Legendre state equation
V. P. Myasnikov, E. G. Markaryan
565

MATHEMATICAL PHYSICS
The virial theorem and the spectral shift function for the Dirac operator
A. E. Oganyan
569

PHYSICS
High-concentrated neodymium laser glasses
B. I. Denker, G. V. Maksimova, V. V. Osiko, A. M. Prokhorov, I. V. Tananaev
573

CRYSTALLOGRAPHY
Physical properties of flexible structures
A. A. Gorbachev
582
Crystal structure of antiferroelectric $\mathrm{Pb}_3\mathrm{Ge}\mathrm{O}_5$
S. A. Ivanov, N. V. Rannev, B. M. Shchedrin, Yu. N. Venevtsev
586
On crystal structure of triclinic modification of potassium iodate
V. R. Kalinin, V. V. Ilyukhin, N. V. Belov
590
Crystal structure of bicarbamide of lanthanum acetat, $\mathrm{La}(\mathrm{CH}_3\mathrm{COO})_3\cdot2\mathrm{CO}(\mathrm{NH}_2)_2$
V. I. Kuskov, E. N. Treushnikov, L. V. Soboleva, V. V. Ilyukhin, N. V. Belov
594
Relationship between compounds. Composite classes of the tolerance of chemical elements
N. L. Smirnova, V. S. Kurazhkovskaya, N. V. Belov
598
 
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