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1979, Volume 249, Number 5  


MATHEMATICS
Church–Rosser marking transducers and decidable properties in tree processing
A. V. Anisimov
1033
Singular perturbations and generalized functions
V. Ya. Glizer, M. G. Dmitriev
1036
On a quasilinear problem of pursuit by several objects
N. L. Grigorenko
1040
Elliptic operators in spaces of homogeneous random fields and the stabilization of solutions of parabolic equations with random coefficients
P. E. Dedik, M. A. Shubin
1043
Some applications of a theorem of S. Banach
I. Jo
1047
Continuous mappings with a finite Dirichlet integral
V. I. Kruglikov, V. I. Paikov
1049
Convergence to equilibrium under the action of additive selection in a multilocus multiallelic population
L. A. Kun, Yu. I. Lyubich
1052
On properties of pseudoinverse operators in Banach spaces
V. I. Meleshko
1055
Methods of regularizing three-stage convex lexicographic problems
V. N. Nefedov
1060
$\mathrm{SK}_1$ for division rings of noncommutative rational functions
V. P. Platonov, V. I. Yanchevskii
1064
On an eigenvalue problem
S. M. Ponomarev
1068

CYBERNETICS AND THE REGULATION THEORY
Appraising a steady-state field from a diffuse image
A. A. Krasovskii
1071
Algebraic reduction of normal statistical models
. A. Pukhal'skii
1073

GEOPHYSICS
Interpretation of magneto variational probing curves in the eastern part of the Arctic Ocean
N. V. Baglaenko, L. B. Volkomirskaya, V. I. Dmitriev, N. M. Rotanova, G. A. Fonarev
1077
On the instability of continental upper mantle
S. V. Gavrilov, V. N. Zharkov
1078
Surface layer equations for the Earth's group planets in the presence of asthenosphere
V. P. Myasnikov, A. V. Karakin
1082

MATHEMATICAL PHYSICS
On the Green function of the Boltzmann linear equation
A. V. Bobylev
1087
On the theory of the plane inverse problem of gravimetry for a contact surface
V. N. Strakhov
1091
Certain $S$-matrices associated with Abelian manifolds
I. V. Cherednik
1095

PHYSICS
Phase transition in non crystalline germanium and silicon
L. I. Aptekar
1099
Quantum resonance for the rotor in a nonlinear periodic field
F. M. Izrailev, D. L. Shepelyanskii
1103
Effect of plane gravitational waves of arbitrary frequency on an oscillator
V. M. Sidorov
1107
 
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