Contents
Doklady Mathematics
Vol. 53, No. 3, 1996
English language translation of the journal is available from
/ Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN Pending
Translated from Doklady Akademii Nauk, Volume 348, Nos. 16, 1996
Volume 53, MayJune.
Mathematics
A Problem of the RiemannHilbert Type
for a Nonregular System of Partial Differential Equations
A. A. Andryan p. 323 abstract
A Generalized Fourier Method of Solving a Mixed Problem
for a Hyperbolic System
A. I. Vagabov p. 327 abstract
Extending Differentiable Functions
and Quasiconformal Mappings on Carnot Groups
S. K. Vodopyanov and A. V. Greshnov p. 331 abstract
Closedness of Orbits and Residual Finiteness
with Respect to Conjugacy of Free Amalgamated Products
P. A. Zalesskii and O. I. Tavgen p. 334 abstract
Simplest Polymetric Geometries
G. G. Mikhailichenko p. 336 abstract
On the Uniqueness of the Solution to the Gellerstedt Problem
for the General System of Chaplygin Equations
M. M. Ovezova p. 339 abstract
On the First Boundary Problem for a Parabolic Equation
with a Changing Time Direction
S. A. Tersenov p. 341 abstract
On the Solvability of a System of Partial Differential Equations
A. A. Andryan p. 344 abstract
Hypergeometric Functions and the Newtonian Polyhedron Related
to the Action of the Torus (C*)n on
kCn
I. M. Gelfand, M. I. Graev, and S. A. Spirin p. 348 abstract
On the Synthesis of Networks of Functional Elements
O. M. Kasim-Zade p. 352 abstract
On the WienerHopf Factorization for One Class of Random Walk
V. I. Lotov p. 355 abstract
The AtiyahBottLefschetz Fixed-Point Theorem in Symplectic Geometry
B. Yu. Sternin and V. E. Shatalov p. 358 abstract
On the Theory of Abnormal Extremal Problems with a Finite-Dimensional Image
A. V. Arutyunov p. 362 abstract
Implicit Expressibility in Two-Valued Logic
and Cryptoisomorphisms of Two-Element Algebras
O. M. Kasim-Zade p. 366 abstract
On the Bifurcation of Solutions to Invariant Variational Equations
N. I. Makarenko p. 369 abstract
On the Spectral Theory of Non-Self-Adjoint Dirac Operators
F. G. Maksudov and B. P. Allakhverdiev p. 372 abstract
On the General Theory of the Integral Operator Equation
of the Dynamics of Switching Circuits
S. N. Vasilev, P. K. Kuznetsov, and A. V. Lakeev p. 374 abstract
The Class of (m, k)-Methods for Solving Implicit Systems
A. I. Levykin and E. A. Novikov p. 377 abstract
The Theory of Linear Parametrization of Criteria in Multicriteria Optimization
I. I. Melamed p. 381 abstract
An Investigation of the Plane in Absolute Geometry
A. V. Pogorelov p. 384 abstract
On the Maximum Principle in the Lp Sense
A. Yu. Khokhlov p. 387 abstract
Limit Cycles of Autonomous Systems
N. A. Bobylev, A. V. Bulatov, S. K. Korovin, and A. A. Kutuzov p. 390 abstract
The S-Classification of Idempotent Algebras with a Finite Support
S. S. Marchenkov p. 394 abstract
RUC-Basis Properties of Haars System
E. M. Semenov p. 397 abstract
A Cauchy Problem for Partial Differential Equations with Operator Coefficients
K. S. Fayazov p. 399 abstract
On Estimates on the Complexity of Restrictions of Boolean Functions
A. V. Chashkin p. 402 abstract
Binary Avoidability and ThueMorse Words
A. M. Shur p. 405 abstract
On the Schrödinger Operator with Pointwise
'-Interactions
V. A. Mikhailets p. 407 abstract
To the Problem P = ? NP
V. G. Naidenko p. 411 abstract
Integrable Cases of Rotation of a Rigid Body with a Constraint
S. T. Sadetov p. 413 abstract
An Iteration Procedure for Constructing Minimax
and Viscous Solutions to HamiltonJacobi Equations
A. I. Subbotin and A. G. Chentsov p. 416 abstract
The Existence of a Point Spectral Radius
for Pseudodifferential Operators
H. H. Bang p. 420 abstract
Special Self-Adjoint Extensions of Schrödinger Differential
Operators by Means of Feynman Integrals
E. T. Shavgulidze p. 423 abstract
On the Convergence of Difference Schemes
for Differential Equations with a Fractional Derivative
M. Kh. Shkhanukov p. 426 abstract
Mathematical Physics
Two Superconducting Disks in the Field of a Vertical Electric Dipole
V. F. Kravchenko, V. T. Erofeenko, and V. I. Pustovoit p. 429 abstract
The Spectrum of the System of N Bosons for N 
V. V. Kucherenko and V. P. Maslov p. 434 abstract
A Theorem on Ergodic Semiclassics
V. P. Maslov p. 438 abstract
Quasiclassical Integral Equations and the Asymptotic Behavior of Solutions
to the Kortewegde Vries Equation for Large Times
A. M. Budylin and V. S. Buslaev p. 441 abstract
Nonperiodic Motion That Arises when Nonlinear Waves
Propagate in Saturated Porous Media
A. M. Maksimov, E. V. Radkevich, and I. Ya. Edelman p. 445 abstract
Boundary Integral Equations in Magnetoelectroelasticity
A. O. Vatulyan and M. Yu. Korobeinik p. 450 abstract
On Solving the Problem of Wave Scattering by Several Bodies
A. G. Kyurkchan p. 453 abstract
The KadomtsevPetviashvili Equation in the Neighborhood of a Morse Critical Point
V. P. Shestopalov p. 458 abstract
Informa tics
A Version of Cluster Analysis That Eliminates Cluster as an Inexact Concept
M. K. Kozlov p. 462 abstract
Multilayer Neural Networks and Multistep Generalized Mathematical Programming
D. B. Yudin p. 465 abstract
Point-Spread Function Identification in an Image Restoration Problem
V. F. Kravchenko, V. A. Rvachev, and V. I. Pustovoit p. 468 abstract
Control Theory
Universal Regulators in a Linear-Quadratic Problem of Optimal Control
V. A. Yakubovich p. 471 abstract
Adaptive Observers for Nonlinear Nonstationary Dynamic Systems
M. N. Zaripov and N. N. Karabutov p. 476 abstract
A Generalized Problem of Linear Programming
V. V. Dikusar p. 479 abstract
Computer Engineering
Two Suggestions for High-Speed Nonrestoring Division
V. A. Brik p. 482 abstract
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