Geodesic

Sommaire du Fascicule no. 1

An estimate for a~functional in the class of star-shaped functions
p. 3-5
Analytic solution of a~system of differential equations describing the axisymmetric deformation of an orthotropic hollow spherical segment
p. 6-9
Investigation of a~numerical method for solving a~spectral problem in the theory of dielectric waveguides
p. 10-17
Adaptive approximation of functions
p. 18-24
A~new approach to the theory of linear problems for systems of partial differential equations.~I.
p. 25-35
$n$-elementary embeddability and $n$-conditional terms
p. 36-40
Extended recurrent manifolds
p. 41-50
The matrix nonlinear Schr\"odinger equation and the corresponding hierarchy of equations
p. 51-60
On the classification of almost product structures on a~manifold with linear connection
p. 61-68
Investigation of the convergence of a~difference scheme for three-dimensional equations of the dynamics of a~viscous fluid
p. 69-75
On the Carleman formula for a~matrix ball
p. 76-79
Embedding theorems for anisotropic classes of differentiable functions
p. 80-82

Sommaire du Fascicule no. 2

On singular boundary value problems for a second-order linear functional-differential equation
p. 3-11
On the solvability of a~two-point boundary value problem for a~singular nonlinear functional-differential equation
p. 12-19
On a~class of differential-difference equations of neutral type
p. 20-29
On variational problems with linear constraints
p. 30-44
Attainability, compatibility and V.\,M.~Millionshchikov's method of rotations
p. 45-56
On a~property of multipliers of linear periodic systems
p. 57-59
On the global controllability of central exponents of linear systems.
p. 60-67
On local controllability in the critical case
p. 68-74
On the positivity of the Green function of linear boundary value problems for fourth-order equations on a~graph
p. 75-82

Sommaire du Fascicule no. 3

Perturbation of a~single-valued operator by a~multi-valued mapping of Hammerstein type with nonconvex images
p. 3-16
The problem of the vibration of a~finite string with nonlinear perturbation
p. 17-21
A~Darboux-type problem in the trihedral angle for a~third-order equation of hyperbolic type
p. 22-30
On the polyhedral solvability of a~system of linear differential equations
p. 31-37
An iterative method for the analysis of nonlinear singularly perturbed initial value and boundary value problems
p. 38-45
On partial sums of multiple Fourier series in Jacobi polynomials
p. 46-56
Investigation of the stability of solutions of differential equations that admit a~transitive symmetry group
p. 57-63
Canonical description and inversion of operators in a~discrete space.~II
p. 64-74
On a~regularity theorem for linearly invariant families of functions in the polydisk
p. 75-79
On a~two-point problem for a~second-order partial differential equation with constant coefficients
p. 80-84

Sommaire du Fascicule no. 4

Radial transformations of sets, and inequalities for the transfinite diameter
p. 3-8
Clifford's theorem for quasirational functions
p. 9-13
A~boundary value problem for a~system of singularly perturbed differential equations with a~nondiagonalizable limit operator
p. 14-23
On $(1+\varepsilon_n)$-bounded $M$-bases
p. 24-27
Extremal properties of solutions of a~third-order equation of hyperbolic type in three-dimensional space and their application
p. 28-31
Polynomial snakes in subsystems of algebraic degrees
p. 32-38
On elementary theories of generic multi-algebras
p. 39-43
On the oscillation of the spectrum of a~multipoint boundary value problem
p. 44-53
Surgeries of tori in the Zassenhaus algebra
p. 54-60
On a~generalization of Kolmogorov's formula to sums of dependent vectors
p. 61-64
О~векторных мерах со значениями в~пространствах Банаха--Канторовича
p. 65-67
Hyperfinite approximation of the Fourier transform
p. 68-72
Approximation of functions in the metric $L_2$ with Jacobi weight
p. 73-76
On the calculation of the determinants of truncated one-dimensional continual convolutions with rational symbols
p. 77-78
On a~method for obtaining an exponential estimate for the solution of the Volterra equation
p. 79-82
The invariance principle for independent observations of a~Banach-valued random process
p. 83-84

Sommaire du Fascicule no. 5

On a~class of difference methods for solving Navier--Stokes equations
p. 3-11
A~semidiscrete method for solving equations of the one-dimensional motion of a~viscous heat-conducting gas with nonsmooth data. Regularity of solutions
p. 12-25
On the solvability of a~nonlinear spectral problem in the theory of high-frequency discharges of reduced pressure
p. 26-31
Realizable feasible quasi-nonexpansive operators
p. 32-36
Efficient preconditioning by the domain decomposition method for the $p$-version with a~hierarchical basis.~I
p. 37-56
Questions of solvability and a~finite element method for higher-order degenerate elliptic equations
p. 57-64
On the Arrow--Hurwicz algorithm with variable iterative parameters
p. 65-72
Investigation of the one-dimensional equations of the static state of a~soft shell
p. 73-80
Increasing the accuracy of approximate solutions by residual correction for singularly perturbed equations with convective terms
p. 81-93
Error estimates for the projection method for an abstract quasilinear hyperbolic equation
p. 94-96

Sommaire du Fascicule no. 6

Multivalent functions from extended Becker and Nehari classes and their hydromechanical interpretation
p. 3-14
Conformal mappings of a~half-plane onto domains with shift symmetry
p. 15-18
Relative surjectivity coefficient of linear operators
p. 19-26
The Cauchy problem for a~system of thermoelasticity equations in 3-dimensional space
p. 27-32
Integral equations of a~vector field
p. 33-36
On conditions for the holomorphic continuation of smooth CR-functions into a~fixed domain
p. 37-40
On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds
p. 41-49
Local operators in some subspaces of the space~$L_0$
p. 50-64
On the $N$-th order Darboux transformation
p. 65-68
Neighborhoods of functions that are convex with respect to symmetric points
p. 69-73
On problems of adequacy of approximate solutions of differential equations
p. 74-80
On approximation properties of sets in special metric spaces
p. 81-84

Sommaire du Fascicule no. 7

On some properties of the alternating triangular vector method for the heat equation
p. 3-11
Local and nonlocal cycles in a~second-order equation with delayed feedback
p. 12-22
Interpolation and embedding theorems for quasinormed Besov spaces
p. 23-29
A~new approach to the theory of linear problems for systems of partial differential equations.~II
p. 30-41
A~coefficient estimate for harmonic automorphisms of the circle
p. 42-45
On the determination of the residues of rational functions of two variables from cycles that correspond to cuts
p. 46-48
On the solvability of variational inequalities with unbounded semimonotone mappings
p. 49-53
Quasi-Boolean degrees of semilattices
p. 54-60
On a~class of perturbed operators
p. 61-66
Universal version of generalized integral constraints in the class of finitely additive measures.~I
p. 67-74
Locally compact groups with semi-Brouwerian lattice of closed subgroups
p. 75-77
On the construction of the Riemann function for an equation in an $n$-dimensional space
p. 78-80

Sommaire du Fascicule no. 8

Iterated Cauchy and Dirichlet problems with a~Bessel operator in a~Banach space.
p. 3-10
A~doubly periodic meromorphic analogue of the Cauchy kernel and some of its applications
p. 11-19
An estimate for the difference of spectral functions of Gegenbauer-type operators in the norm of $L_q$
p. 20-25
On the symmetrization of anisotropic integral functionals
p. 26-32
On a~multidimensional boundary variant of the Morera theorem
p. 33-36
Lebesgue constants of arithmetic means of double Fourier--Legendre sums
p. 37-46
On the stability of the zero solution of a~system of integrodifferential equations that arise in models of population dynamics
p. 47-53
On conditionally rationally equivalent discriminator varieties
p. 54-59
Determination of the norm of kernels of integral transformations and their application
p. 60-69
Periodic solutions of the R\"ossler system
p. 70-73
Inequalities for the components of summable functions and their representations by elements of a~system of contractions and shifts
p. 74-81

Sommaire du Fascicule no. 9

Pseudo-Liouville surfaces
p. 3-11
On closed and unbounded polyhedra with isogonal faces
p. 12-15
Intermediate integrals of the Monge--Amp\`ere equations
p. 16-25
On the geometry of totally geodesic Riemannian foliations
p. 26-31
Special connections that determine the zero curvature representation for second-order evolution equations
p. 32-41
The best net, the best section, and the Chebyshev center of a~bounded set in an infinite-dimensional Lobachevskii space
p. 42-47
On the geometry of projective submersions of Riemannian manifolds
p. 48-54
Dual affine connections on a~regular hyperband
p. 55-63
Prolongations of tensor fields and connections to Weil bundles
p. 64-72
Generalized exterior algebras and their applications
p. 73-77
First integrals of geodesic equations of $H$-spaces of type~[411]
p. 78-79
Some classes of relative almost Hermitian manifolds
p. 80-82
Theory of curves in a~biaffine flag space of hyperbolic type
p. 83-84

Sommaire du Fascicule no. 10

On the stability of stochastic functional-differential equations with respect to the first approximation
p. 3-8
The problem of filtration through a~porous barrier on a~permeable foundation with a~layer of salt water
p. 9-18
The $\varphi$-structure on the group ${}^3D_ 4$
p. 19-22
On the relation between the boundary values of the Goursat problem with normal derivatives of the third order
p. 23-26
On the recursive computation of elliptic-type integrals
p. 27-30
On the norm of a~minimal linear projector in~$C[0,\infty)$
p. 31-36
Bifurcation of periodic solutions of functional-differential equations
p. 37-42
$k$-expansion of topological spaces, and convexity
p. 43-48
Polynomial quasisolutions of linear systems of differential-difference equations
p. 49-58
A~lower bound for approximations of entire functions on the half-axis by rational functions of a~special type
p. 59-62
On an integral equation that describes orientation phase transitions in the Parsons model
p. 63-72
On a~third-order pseudoparabolic equation
p. 73-76
Inversion of some Riesz potentials with oscillating characteristics in the nonelliptic case
p. 77-80
A~discrete-continuous system of convolution equations
p. 81-82

Sommaire du Fascicule no. 11

Equivalence and invariants of second-order linear partial differential equations in two variables under a~change of variables
p. 3-10
Symmetry group and conservation laws in the problem of the optimal control of a~laminar boundary layer of an unbalanced-dissociating gas
p. 11-19
On the covering of disks in the Bieberbach--Eilenberg class
p. 20-23
Efficient pre-conditioning by the domain decomposition method for the $p$-version with a~hierarchical basis.~II
p. 24-40
On multidimensional interpolation methods
p. 41-49
A~new approach to the theory of linear problems for systems of partial differential equations.~III
p. 50-59
Holomorphic conformal submersions
p. 60-69
On the theory of equations of mixed type with two lines of degeneration
p. 70-80
The units of cyclic groups of orders~7 and~9
p. 81-84
Plenum of Scientific-Methodical Council in Mathematics and Mechanics of Teaching Association of Universities of Russian Federation

Sommaire du Fascicule no. 12

Optimization of direct and projection methods for solving operator equations
p. 3-18
Axial three-index assignment and traveling salesman problems: fast approximate algorithms and their probabilistic analysis
p. 19-25
The maximum principle in nonsmooth optimal control problems with discontinuous trajectories
p. 26-37
Regularization of a~multicriterial integer linear programming problem
p. 38-42
General theory of stability in linear programming
p. 43-52
Algorithms in the method of centers with incomplete minimization of an auxiliary maximum function
p. 53-59
On a~class of $D$-interval functions for mixed variational inequalities
p. 60-64
Fractional vertices of the polyhedron of a~multi-index axial choice problem
p. 65-70
A~method for constructing a parametric synthesis for a~linear-quadratic optimal control problem
p. 71-73
Convergence of a~global search algorithm in the problem of convex maximization on an admissible set
p. 74-81
A~ariational maximum principle in controlled systems of one-dimensional hyperbolic equations
p. 82-90