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1988, Volume 303, Number 3  


MATHEMATICS
Orthogonal projectors and the solution of the Riccati matrix algebraic equation
F. A. Aliev, B. A. Bordyug, V. B. Larin
521
New results on the localization of solutions of nonlinear elliptic and parabolic equations that are obtained by the energy method
S. N. Antontsev, Kh. I. Dias
524
On the use of the variational principle of invariance in numerical methods of optimal control in the presence of terminal constraints
O. V. Balabanov, V. T. Pashintsev
529
Features of the percolation model of polymer aging
R. P. Braginskii, B. V. Gnedenko, V. V. Malunov, Yu. V. Moiseev, S. A. Molchanov
535
Extremal homogeneous hypergraphs. An estimate for the Zarankiewicz function, and a criterion for the nondegeneracy of the function $\mathrm{ex}$
V. A. Gurvich
538
Hecke symmetries and quantum determinants
D. I. Gurevich
542
Singularly perturbed systems of ordinary differential equations in cases when “degenerate” systems have discontinuous solutions
M. Imanaliev, P. S. Pankov
546
Packings and coverings of the Hamming space by unit balls
G. A. Kabatiansky, V. I. Panchenko
550
Invariant decision-making functions
D. V. Kochetkov
552
A nonlinear generalized Cauchy–Riemann system with two independent complex variables
L. G. Mikhailov
556
Denseness of the functions of compact support in weighted spaces, and weighted inequalities
R. Oinarov
559
Special infinitesimal bendings of conical surfaces
A. V. Pogorelov
563

CYBERNETICS AND THE REGULATION THEORY
Locally stationary models of nonequilibrium dynamics of macrosystems with self-reproduction
Yu. S. Popkov
567

MECHANICS
Vibrations of a horizontal rotor inelastic supports with clearances
A. S. Kel'zon, A. A. Koval'
570

AERODYNAMICS
Higher approximations of an asymptotic method for solving a system of Boltzmann kinetic equations
V. V. Struminskii, V. E. Turkov
574

GEOPHYSICS
On long-time electrical anomalies arising at the rock destruction
M. Ya. Batbachan
579
A method of inverse problem in the restoration of characteristics of light scattering by dispersion media
V. D. Bushuev, I. È. Naats
583
On the rate of spreading in the Tyrrhenian Sea
E. V. Verzhbitskii, I. M. Sborshchikov
586
Periodic variations of ozone and incident solar radiation in the atmospheric near-surface layer
L. S. Ivlev, O. V. Maksimenko, V. G. Sirota
589
On the dispersive composition of atmospheric aerosols and on the calculation of their precipitation
K. Ya. Kondrat'ev, V. M. Khvat, V. M. Moskovkin, M. B. Manuylov
591
On the coherent summation of scattered and diffraction fields in the problems of light scattering by large crystals
A. A. Popov
594

PHYSICS
Interaction between laser radiation and diamond films
V. P. Ageev, L. L. Builov, V. I. Konov, A. V. Kuzmichev, S. M. Pimenov, A. M. Prokhorov, V. G. Ral'chenko, B. V. Spitsyn, N. I. Chapliev
598
Modified cylindrical functions for the numerical solution of electrodynamics problems in the cylindrical coordinate system
A. A. Vorontsov, S. D. Mirovitskaya
602
Dynamics of the pion degrees of freedom in the collisions of nuclei
D. N. Voskresenskii, A. V. Senatorov
606
On the nature of a chlorophyll luminescence intensity low-temperature band in solutions
V. F. Gachkovskii
611
Experimental evidence of the influence of a nonuniform magnetic field on the value of the coercivity field of an isolated domain wall
A. N. Grigorenko, S. A. Mishin, A. M. Prokhorov, E. G. Rudashevskiĭ
615
On self-switching of nonidentical unidirectional distributedly-coupled waves fed into a system
A. A. Mayer
618
 
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