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1987, Volume 292, Number 6  


MATHEMATICS
Integrable mappings and Lie algebras
A. P. Veselov
1289
Strict regularizability of linear inverse problems
V. A. Vinokurov
1292
A class of local translation-invariant Lie algebras
E. I. Zel'manov
1294
A new approach to variational problems of the theory of quasiconformal mappings
S. L. Krushkal'
1297
Measurable dynamics of an exponential
M. Yu. Lyubich
1301
Boundary distortion under conformal mappings and the Hausdorff dimension
N. G. Makarov
1304
A mixed problem for the vector wave equation
N. G. Marchuk
1307
Algebra of infinite-dimensional pseudodifferential operators
O. G. Smolyanov, A. Yu. Khrennikov
1310

CYBERNETICS AND THE REGULATION THEORY
Single-circuit systems with several nonlinearities, which satisfy the generalized Aĭzerman–Kalman hypothesis
M. I. Gil'
1315

MECHANICS
On the nature of “super deep” penetration of solid microparticles in hard materials
S. S. Grigoryan
1319

THEORY OF ELASTICITY
Mechanism of the anomalously low drag during the motion of bodies in solid media
G. G. Chernii
1324

GEOPHYSICS
On the structure of the Venusian atmosphere cloud layer (project “Vega”)
Yu. V. Zhulanov, L. M. Mukhin, D. F. Nenarokov, A. A. Lushnikov, I. V. Petryanov
1329
On the generation and waveguide propagation of internal gravitational wave during great fires
E. A. Ivanov, N. A. Korneev, S. B. Leble, M. V. Pedanov, G. P. Chernikov
1333

MATHEMATICAL PHYSICS
In the class of homogeneous polyhedra homeomorphic to a ball, the solution of the inverse Newtonian potential problem is unique
M. A. Brodskii, V. N. Strakhov
1337
Periodic action-induced modification of the potential function of a mechanical system
A. K. Vidybida
1341
Nonisothermic motion of a gas through a network mesh with cycles
V. V. Kafarov, I. N. Dorokhov, V. F. Shirikov, V. V. Shershkov
1346
Analytic continuation of a wave field in the problem of scattering of a plane wave by a periodic surface
A. G. Kyurkchan
1350
Soliton multiplets of the Kortweg–de Vries equation
R. A. Sharipov
1356

PHYSICS
The optical field distribution within the spherical particle
N. N. Belov
1360
Electrical phenomena in ball lightning
B. M. Smirnov
1363
The closure problem in turbulence theory and the renormalization group
A. V. Tour, V. V. Yanovskii
1368
Kinematic waves; multistreams; stochasticity
G. M. Fraiman
1372

CRYSTALLOGRAPHY
Atomic structure of $\beta$-phase of $\mathrm{Li}_3\mathrm{Sc}_2(\mathrm{PO}_4)_3$ and $\mathrm{Li}_3\mathrm{Fe}_2(\mathrm{PO}_4)_3$ crystals
I. P. Kondratyuk, B. A. Maksimov, L. A. Muradyan
1376
 
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