Contents
Doklady Mathematics

Vol. 76, No. 1, 2007

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 415, Nos. 1–6, 2007

Volume 76, July–August.

Mathematics

A Special Problem of Integral Geometry

D. S. Anikonov p. 483  abstract

Smoothness of Solutions to the Dirichlet Problem for a Second-Order Elliptic Equation
with a Square Integrable Boundary Function

A. K. Gushchin p. 486  abstract

Regularization and Uniqueness of Solutions to Systems of Nonlinear
Volterra Integral Equations of the Third Kind

M. I. Imanaliev and A. Asanov p. 490  abstract

On Existence Conditions for Sequences Uniformly Distributed
with Respect to Voronoi’s Methods

G. A. Kalyabin p. 494  abstract

On the Harmonic Dirichlet Problem on a Two-Dimensional Domain with Cuts

P. A. Krutitskii p. 497  abstract

Importance Modeling Algorithms for Solving Nonlinear Kinetic Equations

G. A. Mikhailov, M. A. Korotchenko, and S. V. Rogasinsky p. 502  abstract

The Method of Transformation Operators As Applied to Vector Boundary Value Problems

O. E. Yaremko p. 506  abstract

Well-Defined Solvability of Abstract Parabolic Equations with Aftereffect

V. V. Vlasov p. 511  abstract

On the Boundary Smoothness of Conformal Mappings between Domains
with Nonsmooth Boundaries

E. P. Dolzhenko p. 514  abstract

Sharp Estimates for the Periods and Amplitudes of Periodic Solutions
to Differential Equations with Delay

A. A. Zevin p. 519  abstract

An Exact-Order Estimate of the Norms of Orthogonal Projection Operators
onto Spaces of Continuous Splines

A. R. Kayumov p. 524  abstract

The Inverse Quasiperiodic Problem for a Diffusion Operator

I. M. Nabiev p. 527  abstract

Liouville-Type Theorems for Functions with Zero Integrals over Balls of Fixed Radius

O. A. Ochakovskaya p. 530  abstract

Positiveness of Invariant Measures of Diffusion Processes

S. V. Shaposhnikov p. 533  abstract

p-Adic Semilinear Evolutionary Pseudodifferential Equations in Lizorkin Spaces

S. Albeverio, A. Yu. Khrennikov, and V. M. Shelkovich p. 539  abstract

Conjugacy of Carter Subgroups in Finite Groups

E. P. Vdovin p. 544  abstract

Operator Estimates in Reiterated and Locally Periodic Homogenization

S. E. Pastukhova and R. N. Tikhomirov p. 548  abstract

Hard Transition from a Stationary State to Oscillations for a Linear Differential Equation

S. I. Serdyukova p. 554  abstract

Hedging of Options with the Help of Conditional Expected Loss Criterion

I. S. Smirnov p. 559  abstract

Strengthened Equilibria for Conflict Problems

E. R. Smol’yakov p. 562  abstract

Generating Some Classes of Recursive Functions by Superpositions
of Simple Arithmetic Functions

S. A. Volkov p. 566  abstract

Mathematical Analysis of the Deviance of the Genetic Code

N. N. Kozlov p. 568  abstract

Estimation of Absolute Error in Scheduling Problems of Minimizing the Maximum Lateness

A. A. Lazarev p. 572  abstract

On Locally Grassmann Graphs

A. A. Makhnev and D. V. Paduchikh p. 575  abstract

Completeness of the System of Exponentials in a Space with Weight expx²

V. V. Napalkov and R. S. Yulmukhametov p. 580  abstract

Weakly Coercive Non-Quasi-Elliptic Systems of Differential Operators in (ⁿ)

D. V. Limanskii and M. M. Malamud p. 583  abstract

Remarks on the Gross–Sobolev, Hirschman, and Pauli–Heisenberg–Weyl
Fundamental Inequalities and the Entropy Inequality

Sh. M. Nasibov p. 589  abstract

A New Method for Constructing Key Agreement Schemes

V. M. Sidel’nikov and L. S. Kazarin p. 592  abstract

On -Homogeneous Riemannian Manifolds

V. N. Berestovskii and Yu. G. Nikonorov p. 596  abstract

Stability of Classes of Mappings, Quasiconvexity, and Null Lagrangians

A. A. Egorov p. 599  abstract

On the Erdös–Szekeres Problem

V. A. Koshelev p. 603  abstract

Surface Measures and Initial Boundary Value Problems Generated
by Diffusions with Drift

O. G. Smolyanov, H. von Weizsaecker, and O. Wittich p. 606  abstract

Mathematical Physics

Solvability of Nonlinear Boundary Value Problems in Fluid Dynamics

V. N. Monakhov^† and E. V. Gubkina p. 611  abstract

Differential Factorization Method in Block Structures and Nanostructures

V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko p. 614  abstract

On the EPN-Resonance Mechanism of the Stabilization of Molecular Structures

Yu. B. Magarshak p. 618  abstract

Geyser As a Self-Oscillatory System

P. S. Landa and D. A. Vlasov p. 623  abstract

Control Theory

Variational Statement of Optimization Problems for Elastic Body Motions

G. V. Kostin and V. V. Saurin p. 629  abstract

Linear Control Systems with a Reference Model

A. V. Proskurnikov and V. A. Yakubovich p. 634  abstract

Optimal Linear Quadratic Control in the Class of Output Feedbacks

D. V. Balandin and M. M. Kogan p. 638  abstract

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