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1984, Volume 275, Number 2  


MATHEMATICS
The realization of $\varepsilon$-invariance in systems of differential equations using control
B. V. Aleshin, Yu. N. Bakaev, P. I. Kuznetsov
265
On necessary conditions for a local minimum in optimal control theory
A. V. Arutyunov, N. T. Tynyanskii
268
Fundamental solutions of functional-differential equations and their representations
S. S. Akhiev
273
Generalized tridiagonal matrices and Sturm's theorem
V. A. Bulavskii, M. A. Yakovleva
277
Inductive Turing machines with multihead, and Kolmogorov's algorithm
M. S. Burgin
280
An equation of nonlinear heat conduction with nonpower coefficient in a bounded domain
V. A. Galaktionov
285
A condition for isometry of Riemannian metrics in the disc
M. L. Gerver, N. S. Nadirashvili
289
Characterization of residually small quasivarieties
V. A. Gorbunov
293
Estimation of the accuracy of the method of summary approximation of the solution of an abstract Cauchy problem
A. M. Kuzyk, V. L. Makarov
297
Weighted inequalities of the Ehrling–Nirenberg inequality type
R. Sh. Mamedov
301
Operators of stable type
V. I. Paulauskas, A. Yu. Račkauskas
306
General position homology of the Lie algebra of vector fields on the line
S. L. Tabachnikov
310
Some spaces of infinite order and their applications to operator equations
S. R. Umarov
313
The propagation of plane waves in a compressible stratified liquid and their diffraction by a half plane
A. K. Shatov
318

MECHANICS
Ballistic aspects of comet investigation
È. L. Akim, N. A. Belyaev, R. K. Kazakova, O. V. Papkov, A. K. Platonov, V. V. Savchenko, K. G. Sukhanov
323
Sequential linearization of problems of the dynamics of dispersed flows
S. T. Morozov, V. T. Morozov, T. N. Morozova
327

GEOPHYSICS
Stability of the solution of an inverse problem of coupled seismology and gravimetry
A. S. Alekseev, B. A. Bubnov
332
On the thermal regime of the mantle boundary layer at the boundary with the core
V. N. Zharkov, P. B. Karpov, V. V. Leont'ev
335
Statistical characteristics of anomalies of the Northern Atlantic radiation balance two-dimensional fields
K. Ya. Kondrat'ev, V. V. Kozoderov
338
Uniqueness of the solution of an inverse problem of gravitation prospecting for structural models
A. S. Margulis
342
Some regularities of the lithosphere deformation under tension (according to the results of physical modeling)
A. I. Shemenda
346
On the behavior of loose grounds during strong earthquakes
V. V. Steinberg
350

MATHEMATICAL PHYSICS
Serial bases of exponentials and the problem of damping of a system of strings
S. A. Avdonin, S. A. Ivanov
355
Zeros of eigenfunctions of free and forced oscillations of continual systems with dissipation
Ya. B. Zel'dovich, D. D. Sokoloff
358
Production and absorption of the atmosphere in a cavity due to the diffusion of gas absorbed in its walls
V. A. Ignatov, I. P. Stakhanov
361
Solution of a boundary value problem under boundary conditions of mixed type for a parabolic system
N. M. Mamedov
365

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{NaBaNd}[\mathrm{Si}_3\mathrm{O}_9]$
Yu. A. Malinovskii, O. S. Bondareva, S. V. Baturin
372
 
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