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1988, Volume 303, Number 6  


MATHEMATICS
On the theory of optimal control in an infinite time interval
Sh. G. Amrakhov
1289
Boundary value problems for a class of integro-differential equations and related spectral problems
V. V. Vlasov
1293
Decompositions of tensor products of representations of a symmetric group and of symmetric and exterior powers of the adjoint representation of $\mathfrak{gl}(N)$
I. F. Donin
1296
A boundary value problem for a higher-order equation with changing time direction
I. E. Egorov
1301
Estimates of root vectors of multipoint spectral problems
I. S. Lomov, V. V. Tikhomirov
1304
On the theory of the characteristic function and on the spectral analysis of a dissipative Schrödinger operator
F. G. Maksudov, B. P. Allahverdiev
1307
Completeness of derivative chains of polynomial pencils of operators of odd order
G. V. Radzievskii
1310
A Fejér method for nondifferentiable optimization
M. B. Shchepakin
1315

MECHANICS
Analysis of ways of service-life increase of high-speed rotor rolling contact bearings
V. A. Omel'yanenko, A. S. Kel'zon
1318

FLUID MECHANICS
Numerical solution of the problem of the expansion of a hot gas volume
V. P. Korobeinikov, A. K. Sharipov
1323

THEORY OF ELASTICITY
Steady-state problem of the cutting of an elastic material
B. M. Nuller, I. I. Shekhtman
1327
A general approach to the formulation of linear models of media of different smoothness
A. N. Elpatievskii, I. F. Obraztsov, P. A. Belov
1331

GEOPHYSICS
“Introextension” of potential fields as a “physical” regularization of Poisson equation based on the full gradient and concentration principle
E. V. Karus, V. M. Berezkin, V. G. Filatov
1335
Nonequilibrium phase boundaries in the Earth's mantle
L. M. Truskinovskii
1337

MATHEMATICAL PHYSICS
Diffraction of internal waves by a plate that is located on the free surface of a stratified fluid
R. R. Gabdullin
1343
Features of a scattered field and their role in the method of auxiliary sources
A. G. Kyurkchan, A. I. Sukov
1347
Gaussian behavior of the critical Ising model in a dimension $d>4$
S. B. Shlosman
1350

PHYSICS
An excitation mechanism and kinetics of luminescence of the ketyl radical
N. A. Borisevich, L. M. Bolot'ko, V. V. Dorokhin, N. A. Lysak, S. V. Melnichuk, G. B. Tolstorozhev
1353
Thermodiffusion oscillations in gas mixtures in a laser radiation field
F. V. Bunkin, N. A. Kirichenko, S. P. Kurdyumov, A. B. Potapov, A. A. Samarskii
1357
The theory of equilibrium properties of a system of atoms, some of which are excited
O. V. Derzhko
1361

CRYSTALLOGRAPHY
The X-ray analysis of $3'$-amino-$2'$, $3'$-dideoxythymidine hydrochloride – a termination substrate of DNA polymerases
G. V. Gurskaya, E. N. Tsapkina, S. V. Lindemann, Yu. T. Struchkov, A. A. Kraevskii
1378
Synthesis of single crystals and crystal structure of hydronepheline $1$
O. V. Yakubovich, V. I. Tarasov
1382

Erratum: “Discrete space-time and quantum electrodynamics”
K. E. Plokhotnikov
 
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