Geodesic

Sommaire du Fascicule no. 1

Problems of combinatorial optimization, statistical sums and representations of the full linear group
p. 3-11
Two extremal problems for trigonometric polynomials with a prescribed number of harmonics
p. 12-18
On~the number of real and complex moduli of singularities of smooth functions and realizations of matroids
p. 19-27
Estimation of maximal and minimal divergence of neighboring points in Chebyshev's alternant
p. 28-39
A~new direct method for solving integral equations of the third kind
p. 40-46
Equivalence in $L_p[0,1]$ of the system $e^{i2\pi kx}$ $(k=0,\pm1,\dots)$ and the system of the eigenfunctions of an ordinary functional-differential operator
p. 47-55
Behavior of solutions of elliptical boundary problems at an angle
p. 56-62
Noether theory of unbounded singular integral operators with a~Carleman shift
p. 63-69
Supercanonical algebras and Schouten brackets
p. 70-76
Invertibility of abstract dual operators in Hilbert spaces
p. 77-83
Existence of identities in the restricted enveloping algebra
p. 84-93
Nonlocal finite dimensional reductions in variational boundary value problems
p. 94-103
Homology of symmetric products
p. 104-113
Stability estimates in inverse problems for hyperbolic equations
p. 114-119
On~homogeneities of hyperspaces of dyadic bicompacta
p. 120-126
Polynomial hull of a sphere imbedded in $C^2$
p. 127-134
On~a~quadratic functional in a nonlocal boundary value problem for the heat equation
p. 135-143
Estimates of the solutions of elliptic equations with unbounded operator coefficients in a~H\"older space
p. 144-146
Point transformations and linearizability of second-order ordinary differential equations
p. 146-148
Optimal quadrature formulas for classes of functions with bounded mixed difference
p. 149-151
Sufficient condition for stability of invariant cones of any codimension in Euclidean space $R^N$
p. 151-153
Conditions for the completeness of a certain system of entire functions and their applications to the Pomme operators
p. 154-156

Sommaire du Fascicule no. 2

Distribution of indices of representing systems of generated exponents
p. 3-13
Actions by automorphisms of commutative compact groups with a countablefold Lebesgue component in the spectrum
p. 14-22
Computation of the optimal coefficients
p. 23-28
Growth of the number of images of a point under iterates of a multivalued map
p. 29-35
Normal forms of germs of smooth distributions
p. 36-44
Extremal problem of the norm of an intermediate derivative
p. 45-54
Lower bounds for linear forms in the values of Kummer functions with an irrational parameter
p. 55-63
Estimates of rate of convergence of solutions of parabolic equations with weakly convergent coefficients
p. 64-73
Solvability of a convolution equation in some classes of analytic functions
p. 74-83
Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schr\"odinger equation
p. 84-94
Decomposition of a matrix pencil into linear factors
p. 95-101
A~universal partial recursive function
p. 102-106
Typical property of convex sets
p. 107-112
Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection
p. 113-123
Voronoi neighborhood of the perfect form $K_7(x_1,\dots,x_7)$
p. 124-132
Optimal quadrature formulas for functions belonging to a weight class
p. 133-140
Spherical shells as obstructions to continuation of holomorphic mappings
p. 141-142
A~problem of Littlewood
p. 143-144
Quadrature formulas for classes with constraints on the Fourier coefficients
p. 144-147
Global hypoellipticity property of a differential operator
p. 147-150
Structure of the attainability set for controlled systems with inertia
p. 150-151
Representation of certain functions under Martin's axiom
p. 151-154

Sommaire du Fascicule no. 3

Rings that are regular relative to a right ideal
p. 3-11
Enumeration of labeled, connected, homeomorphically irreducible graphs
p. 12-22
Polynomial approximation of solutions of evolutionary parabolic equations in a~Hilbert space
p. 23-27
Effective sufficient conditions for the uniform oscillation of a linear differential equation
p. 28-34
Removal of singularities of plurisubharmonic functions
p. 35-40
A~new look at compound matrices
p. 41-45
Representation of the solution of a homogeneous convolution equation in the form of a~series
p. 46-51
Vector $\overline\partial$-problem and self-similar solutions of the Kadomtsev--Petviashvili equation
p. 52-56
Convolution operator in the space of real analytic functions
p. 57-65
Bounded point derivations on $R(X)$ and approximation with simultaneous interpolation
p. 66-72
Criterion for complete determinacy for concave-convexlike games
p. 73-76
Spectrum of the pencil of the Verigin--Macket problem
p. 77-90
Test for $C^1$-smooth linearization of an autonomous system in a~neighborhood of a~nondegenerate singular point
p. 91-96
Lifting the finite generation of a projective module modulo its radical
p. 97-108
Many-dimensional version of Cauchy's theorem on residues
p. 109-113
Variational characterization of topological entropy of continuous transformation groups. Case of actions of $R^n$
p. 114-123
Algebras of Toeplitz operators in spaces of smooth functions
p. 124-130
Lattice definability of a semisimple finite-dimensional binary-Lie algebra over an algebraically closed field of characteristic~0
p. 131-134
Weak openness of the metric projection
p. 135-144
Locally finite groups with maximal centralizers of elements
p. 145-146
Regularity of the generalized solutions of a parabolic equation of high order
p. 147-148
Perturbation of the spectra of operators of a certain class
p. 149-151
Regularity of spectral problems with supplementary conditions at interior points
p. 151-153
Abstract stochastic integral equation involving a vector generalized stochastic integral
p. 153-155
Some applications of free differential calculus in group theory
p. 156-157

Sommaire du Fascicule no. 4

`Canard' cycles of fast-slow fields with one-dimensional slow component
p. 3-14
The localization problem for a random elastic continuum with dispersion
p. 15-19
Diagonals of convex polytopes
p. 20-30
Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
p. 31-46
Number of solutions of the Dirichlet problem for equations elliptic on a set of solutions
p. 47-54
Cardinality of the set of Vitali equivalence classes
p. 55-62
A~necessary and sufficient condition for differentiability of integrals of random measures in $R^n$ over $n$-dimensional intervals
p. 63-68
Convex sets and hypergraphs
p. 69-73
A~class of equations with concave operators that depend on a parameter
p. 74-80
Problem of precision of the method of a minimal pseudoinverse matrix
p. 81-87
Instability spectrum of an operator bundle
p. 88-94
Recovery problems in Hardy and Bergman spaces
p. 95-104
A~priori estimates for bisingular operators with continuous coefficients
p. 105-109
Weight of compactly generated groups
p. 110-114
Classification of sesquilinear forms, pairs of Hermitian forms, self-conjugate and isometric operators over the division ring of quaternions
p. 115-123
Relation between an implicit function and solutions of a singularly perturbed equation
p. 124-129
The B\"acklund transformation and integrable initial boundary value problems
p. 130-137
A~question regarding inequalities between Hermitian operators
p. 138-141
Invertibility of endomorphism of free associative algebras
p. 142-147
Best approximation estimates resulting from the Chebyshev criterion
p. 148-150
On~some two-dimensional singular integral operators with weights
p. 150-152
Size of algebraic integers
p. 152-154
Justification of perturbation algorithm in a nonlinear hyperbolic problem
p. 155-156

Sommaire du Fascicule no. 5

An~exact estimate of the second derivative in $l_p$
p. 3-6
Spectra of $p$-elements in the normalizer of an extraspecial linear group
p. 7-15
Spectral projections of hypoelliptic operators
p. 16-25
Smoothly versal deformations of coarse vector fields on a circumference
p. 26-31
Asymptotic approximation of a periodic solution of the second boundary-value problem for systems with small diffusion
p. 32-36
Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
p. 37-44
A~finiteness criterion for a discrete spectrum of a multidimensional Jacobian matrix
p. 45-53
Complexes of curves and Teichm\"uller spaces
p. 54-61
Self-oscillations of singularly perturbed parabolic systems of first degree of nonroughness
p. 62-69
Ideals in isols containing a set of regressive isols
p. 70-79
Existence and smoothness of the integral of a Hamiltonian system of a certain form
p. 80-85
Asymptotics of the solution of a Dirichlet problem in an angular domain with a~periodically changing boundary
p. 86-96
Congruence functions
p. 97-103
Simplification of dual extremal problems invariant with respect to change in variables
p. 104-109
Nonlinear bang-bang principle in $\mathbf R^n$
p. 110-116
Mean values of multiplicative functions
p. 117-127
Irreducible $J$-decompositions of the Lie algebras $A_{p^n-1}$
p. 128-134
An~inverse problem for an evolution equation
p. 135-141
Cosymmetry, degeneration of solutions of operator equations, and onset of a filtration convection
p. 142-148
A~topological property of the boundary of an analytic subset of a strictly pseudoconvex domain in $C^2$
p. 149-151
The number of solutions of the equation $ax_1x_2+bx_3x_4=N$
p. 151-152
Approximation of the operator of differentiation in a weighted Sobolev class
p. 153-154
Multidimensional Jackson theorem in the $L_2$ space
p. 154-156

Sommaire du Fascicule no. 6

Smoothness of solutions of second-order hyperbolic equations with discontinuous coefficients
p. 3-11
Summation of multiple trigonometric Fourier series
p. 12-18
Properties of the spectral function of a Sturm--Liouville operator with discontinuous coefficients
p. 19-28
Three-dimensional hyperbolic manifolds with general fundamental polyhedron
p. 29-32
Approximation of functions of class $C(\varepsilon)$ by sequences of de la Vall\'ee-Poussin sums
p. 33-41
Multi-phase solutions of the Benjamin--Ono equation and their averaging
p. 42-58
$C^r$-property and approximately differentiable functions
p. 59-62
1-cohomologies of a special linear group with coefficients in a module of truncated polynomials
p. 63-71
Approximations of compact sets of functions by piecewise polynomial surfaces in spaces of smooth functions
p. 72-81
Estimates of the singular numbers of Hankel operators
p. 82-86
Functionally balanced groups
p. 87-91
Periodic solutions of difference Runge--Kutta schemes
p. 92-97
Connection between the mixing properties of a flow and the isomorphicity of the transformations that compose it
p. 98-106
Fourier--Maslov transform in the space of multivalued analytic functions
p. 107-118
Properties of integral solutions of differential inclusions with $m$-accretive operators
p. 119-131
Best quadrature formulas for improper integrals on certain classes of differentiable functions
p. 132-134
A~pseudo-Euclidean representation of conditionally positive mappings
p. 135-137
Nonrecursiveness of the integral of a conditionally periodic function
p. 138-140
Integration of Hamiltonian systems on a separate isoenergetic surface
p. 140-142
Optimal control by random sequences with constraints
p. 143-145
$\mathscr C$-spectral sequence of evolution equations
p. 145-147
Letter to the editor