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1989, Volume 304, Number 6  


MATHEMATICS
Some classes of anisotropic integral operators and weighted embedding theorems in a domain with a nonsmooth boundary
V. S. Guliev
1289
Integral invariants of asymptotically stable systems of differential equations
V. I. Zubov
1293
Divergence of difference operators that are defined on an inhomogeneous difference grid
V. V. Ostapenko
1295
Conditions of V. A. Il'in type for the solvability of nonlocal boundary value problems for ordinary differential equations
Yu. V. Pokorny, K. P. Lazarev, T. M. Gareeva
1298
Symplectic connections, the Maslov index and a conjecture of Fomenko
V. V. Trofimov
1302
Classification of Coxeter-type monoids that have attractors
S. V. Tsaranov
1306
Integral geometry of a tensor field along geodesics of a metric that is close to the Euclidean metric
V. A. Sharafutdinov
1308

CYBERNETICS AND THE REGULATION THEORY
On a problem of determining the impulse characteristic of a stable linear link
N. I. Grachev, V. Kh. Kivelidi, M. A. Krasnosel'skii, N. A. Kuznetsov
1312

AERODYNAMICS
Potential models of transonic flows
Yu. B. Lifshits, A. A. Shagaev
1315

FLUID MECHANICS
Construction of the asymptotic behavior of small solutions of a problem of rolling waves
A. O. Kuznetsov, B. V. Loginov
1320
Anomalous influence of composition in the acoustics of boiling solutions
R. I. Nigmatulin, N. S. Khabeev, V. Sh. Shagapov
1323

THEORY OF ELASTICITY
Solvability of boundary value problems in the nonlinear theory of physically shallow and evolving shells
I. I. Vorovich
1329

MATHEMATICAL PHYSICS
Solution of a kinetic equation for the electronic component of plasma in the magnetic filter with multigroup method
A. A. Bykov, A. G. Sveshnikov, S. A. Yakunin
1333
On the theory of nonequilibrium transonic flows in unbounded domains
N. A. Lar'kin
1337

PHYSICS
Texture in amorphous materials and errors caused by it when determining the structural characteristics from the function of radial distribution of atoms
L. A. Aleshina, I. O. Kuz'mina, A. D. Fofanov, O. N. Shivrin
1341
Resonance fluorescence polarization of jet-cooled complex molecules
N. A. Borisevich, V. V. Gavrilyuk, V. A. Povedailo, V. A. Tolkachev
1344
Possible “photon” instability of high-temperature nonequilibrium superconductor
A. M. Gulyan, O. N. Nersesyan, G. M. Sergoyan
1347
Manifestation of fine structure in the polyatomic molecule fluorescence spectra in isotropic media at $77$ and at site-selective laser excitation
G. P. Gurinovich, A. S. Starukhin, V. V. Nekrasov, R. N. Nurmukhametov, A. M. Shul'ga
1350
The strength and durability of perfect optical fibers from the point of view of the kinetic theory of fracture
V. S. Kuksenko, V. A. Petrov, A. V. Savitskii, V. V. Baptizmanskii, V. S. Khotimchenko
1354
Exact vortex solutions of the modified Charney–Petviashvili equation
V. M. Chemousenko, I. V. Chernenko, S. V. Chernyshenko
1357

Erratum: “Solution of linear inverse problems in geophysics”
A. G. Shlenov
 
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