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1991, Volume 320, Number 2  


MATHEMATICS
Functionals containing idempotent integration and their applications to the estimation of the minimal eigenvalue of differential operators
M. D. Bronshtein
265
Models with a structurally unstable homoclinic Poincaré curve
S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov
269
Solution of a problem of D. E. Men'shov
L. V. Zhizhiashvili
273
Expansion of the difference solution of the front of a shock wave
V. V. Ostapenko
275
Theorems on the smoothness of periodic solutions of differential equations with singular points
V. I. Prokhorenko
280
Solution of fundamental boundary value problems of Hilbert type for bi-analytic functions
K. M. Rasulov
284
Determination of multidimensional distributions of a process, defined by a stochastic differential equation, by the ellipsoidal approximation method
V. I. Sinitsyn
289
Strong degeneration of singular controls in distributed problems of optimization
V. I. Sumin
295
Conditions for the controllability of singularly perturbed systems that contain singular controls
M. M. Khapaev
300

CYBERNETICS AND THE REGULATION THEORY
On a number-theoretic method for the fast Fourier transform in the Fermat ring
A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev
303

GEOPHYSICS
Solution of problems in geophysics that are reducible to linear integral equations of the first kind in the presence of multiplicative-additive noise in the input data
V. N. Strakhov
307

PHYSICS
On the substantiation of Oliner's method
V. A. Babeshko
311
Transient process with energy loss by electrons in thin films
L. Ya. Bubnov, E. L. Frankevich
315
Current flow in the metall-plasma transition region during the initial stage of the explosive emission cycle at a cathode
E. A. Litvinov, G. A. Mesyats, A. G. Parfenov
319

CRYSTALLOGRAPHY
On the X-ray reflectometry technique of the structure determination of Langmuir–Blodgett films with a small amount of layers
O. V. Konovalov, L. A. Feigin
334
 
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