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1967, Volume 172, Number 2  


MATHEMATICS
Verbal subgroups of free groups
I. U. Bronshtein
255
General boundary conditions for Markov processes with a countable set of states
E. B. Dynkin
258
On the admissibility of Monte-Carlo methods
S. M. Ermakov
262
Positive periodic solutions of a class of differential equations of second order
Yu. S. Kolesov
264
Fundamental solutions of singular partial differential equations with variable coefficients
V. I. Kononenko
267
$T$-invariance of the coefficients of quasi-linear hyperbolic equations
V. B. Korotkov
271
Degenerating quasi-linear elliptic equations and systems
A. I. Koshelev
275
Utilization of arithmetic progressions of $k$ th order for construction of bases of an algebra of primitively-recursive functions
I. A. Lavrov
279
Oblique derivative problem in three-dimensional space
M. B. Malyutov
283
Unicellularity and non-unicellularity of weighted shift operators
N. K. Nikol'skii
287
Test of a multi-dimensional polynomial hypothesis
V. P. Palamodov
291
Approximation by elements of convex sets
S. Ya. Havinson
294
Existence of a countable set of periodic motions in a neighborhood of a homoclinic curve
L. P. Shilnikov
298
Certain imbeddings of ordered groups
È. G. Shutov
302
Variation principle of dynamics in the linear theory of elasticity
L. Ya. Ainola
306

PHYSICS
Two-photon absorption in the $\mathrm{CaF}_2:\mathrm{Ho}^{3+}$ crystal
B. V. Ershov, Yu. P. Pimenov, A. M. Prokhorov, V. B. Fedorov
309
X-Ray diffraction study of the iodine crystal structure at high pressure
S. S. Kabalkina, T. N. Kolobyanina, L. F. Vereshchagin
313
Spectroscopic investigation of the gas discharge in the case of argon ion optical quantum generators
V. F. Kitaeva, Yu. I. Osipov, N. N. Sobolev
317
Electromagnetic waves in the general relativity
È. Ya. Maldybaeva
320
Hydrodynamic equations in the theory of superconduction
A. V. Svidzinskii, V. A. Slyusarev
322
Momentum and energy of gravitational waves
M. F. Shirokov, L. I. Bud'ko
326
A contribution to the theory of dislocations in two atomic rows model of crystal
A. A. Yudin, I. L. Mirkin
330

GEOPHYSICS
Prognostication of the temperature in the interior part of the Earth
A. M. Pliushch
338
 
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