-Sufficiency of Jets in Classes of Finitely Smooth Mappings
Contents
Doklady Mathematics
Vol. 81, No. 1, 2010
A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.
Translated from Doklady Akademii Nauk, Volume 430, Nos. 1–6, 2010
Volume 81, January–February.
Mathematics
The Geometry of Extremals with Countably Many Contact Points
with the Boundary of the Phase Constraint
M. I. Zelikin and V. F. Borisov p. 1 abstract
Controllability Criterion for Stationary Systems
A. V. Zubov, V. V. Dikusar, and N. V. Zubov p. 6 abstract
On Complex Matrices that Can Be Made Real by a Unitary Similarity Transformation
Kh. D. Ikramov p. 8 abstract
Properties of C1-Smooth Functions Whose Gradient Range Has Topological Dimension 1
M. V. Korobkov p. 11 abstract
One Application of the Chinese Remainder Theorem to the Vigenére Cipher
M. P. Mineev and V. N. Chubarikov p. 14 abstract
Some Properties of One-Dimensional Unimodal Mappings
E. V. Nedostupov, D. A. Sarancha, E. N. Chigerev, and Yu. S. Yurezanskaya p. 16 abstract
Theorems on Existence, Stability, and Higher Regularity
of Solutions of Differential Inclusions
M. A. Sychev p. 22 abstract
The Asymptotic Behavior of Solutions to Linear Ordinary Differential Systems
with a Parameter on the Half-Axis
A. I. Vagabov p. 25 abstract
On the Negative Spectrum of an Elliptic Operator
R. V. Guseinov p. 28 abstract
Necessary and Sufficient Conditions for the Boundedness of Solutions
to Two-Dimensional Quadratic Systems in a Positively Invariant Half-Plane
G. A. Leonov p. 31 abstract
Existence Theorems and Qualitative Properties of Solutions to Parabolic Equations
with a Variable Order of Nonlinearity
Yu. A. Alkhutov and V. V. Zhikov p. 34 abstract
Collective Phenomena in Lattices of Weakly Interacting Mappings
M. L. Blank p. 39 abstract
Samuelson’s Webs
V. V. Gol’dberg and V. V. Lychagin p. 43 abstract
Lp Theory of Second-Order Elliptic Operators with Discontinuous Coefficients
A. A. Dudkina p. 47 abstract
The Weak Zero-One Laws for the Random Distance Graphs
M. E. Zhukovskii p.51 abstract
Arithmetic of Quadratic Fields and Torsion in Jacobians
V. P. Platonov p. 55 abstract
On the Weak Convergence of Fluxes to a Flux
V. V. Zhikov p. 58 abstract
Conditions for Unique Solvability of the Matrix Equation AX + XTB = C
Kh. D. Ikramov p. 63 abstract
Nonstationary Version of Zhikov’s Compensated Compactness Lemma
and Its Application to the Solvability of the Generalized Navier–Stokes Equations
S. E. Pastukhova p. 66 abstract
Doubly Periodic Solutions of First-Order Uniformly Elliptic Systems
D. S. Safarov p. 72 abstract
Discriminant Analysis of High-Dimensional Data over Limited Samples
V. I. Serdobolskii p. 75 abstract
Tensor Products of Functionals and Their Application
N. Temirgaliev p. 78 abstract
The Lower Asymptotically Exact Constant in the Central Limit Theorem
I. G. Shevtsova p. 83 abstract
Integral Estimates for Differentiable Functions on Irregular Domains
O. V. Besov p. 87 abstract
Stabilization of the Solution to the Cauchy Problem for a Parabolic Equation
with Nonzero Lower Order Coefficients in Classes of Increasing Initial Functions
V. N. Denisov p. 91 abstract
On Integral Representations of Correct Restrictions and Regular Extensions
of Differential Operators
T. Sh. Kal’menov, B.E. Kanguzhin, and B. D. Koshanov p. 94 abstract
Any Solubly Saturated Hereditary Lattice Formation Is Saturated
S. F. Kamornikov p. 97 abstract
Polynomial Criteria for the -Sufficiency of Jets in Classes of Finitely Smooth Mappings
V. S. Kozyakin p. 101 abstract
A Smoothing Inequality
I. G. Shevtsova p. 105 abstract
On the Homology of Subvarieties of Toric Varieties
N. A. Bushueva p. 108 abstract
On a Scale of Hardy-Type Integral Inequalities
Yu. A. Dubinskii p. 111 abstract
Solutions to Systems of Linear Fredholm Integral Equations of the Third Kind
M. I. Imanaliev and A. Asanov p. 115 abstract
An Improvement of the Berry–Esseen Inequalities
V. Yu. Korolev and I. G. Shevtsova p. 119 abstract
On Various Characteristics Affecting the Local Convergence Rate
of Biorthogonal Series Related to Ordinary Differential Operators
I. S. Lomov p.124 abstract
Mathematical Physics
2-Adic Numbers in Genetics and Rumer’s Symmetry
S. V. Kozyrev and A. Yu. Khrennikov p. 128 abstract
Von Mises- and Crocco-Type Transformations: Order Reduction
of Nonlinear Equations, RF-Pairs, and Bäcklund Transformations
A. D. Polyanin p. 131 abstract
Use of Weak Noise for Real-Time Control of Strong Noise Suppression
in a Shielded Subdomain
V. S. Ryaben’kii p. 137 abstract
Variational Principle for Periodic Orbits of Invertible Dynamical Equations
V. V. Kozlov p. 139 abstract
Computer Science
Regression-Type Problems under Zero Median Noise
P. I. Balk (Germany) p. 142 abstract
Fourth-Order Accurate Bicompact Schemes for Hyperbolic Equations
B. V. Rogov and M. N. Mikhailovskaya p. 146 abstract
Control Theory
Extremum Problems of Boundary Control for a Stationary Thermal Convection Model
G. V. Alekseev and D. A. Tereshko p. 151 abstract
Optimization of the Moment of Measuring Phase Vectors in Evasion Problems
S. A. Brykalov p. 156 abstract
The Relationship between Returns-to-Scale Properties of Interior Points
and Vertex Points in DEA Models
V. E. Krivonozhko and F. R. Førsund p. 159 abstract
On the Synthesis of Optimal Control for Second-Order Systems
A. M. Formal’skii p. 164 abstract
Errata
Erratum: “The Maximal Section Algorithm in the Monte Carlo Method”
[Dokl. Math. 80 (2), 671–673 (2009)]
G. A. Mikhailov and T. A. Averina p. 168
Erratum: “Sharp Estimates for Functions of Class 
(–1, 1)”
[Dokl. Math. 80 (2), 713–715 (2009)]
G. A. Kalyabin p. 169
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