Geodesic

Sommaire du Fascicule no. 1

Real finite-gap solutions of the equation $\Delta u=\ch u$
p. 3-9
Solution of a problem of Mendeleev type and the estimation of the derivatives of polynomials in the Laguerre weighted space $L^2$
p. 10-18
A~relation between Fourier and Fej\'er sums
p. 19-33
There does not exist an enumerable family of context-free grammars that generates the class of single-valued languages
p. 34-40
Approximative evaluation of the height of the maximal upper zero of a monotone Boolean function
p. 41-45
On~diameters of 2-regular graphs
p. 46-55
Smoothing of Stanley--Reisner type singularities
p. 56-64
A~new approach to the theory of hypergeometric series and special functions of mathematical physics
p. 65-73
Absolute summability of Fourier series of functions in the classes $\operatorname{Lip}(\alpha,p)$
p. 74-83
Semantic admissibility criteria for deduction rules in $\mathbf{S4}$ and $\mathbf{Int}$
p. 84-91
Simplicial complexes and ruled varieties
p. 92-97
Prym's theta-function and hierarchies of nonlinear equations
p. 98-107
Algebraic properties of certain cohomological invariants of equivariant mappings
p. 108-117
Cartan extensions of stabilizers of exterior forms
p. 118-121
Estimates of Gaussian sums
p. 122-130
A~priori estimates of solutions of the Sturm--Liouville equation and the A.\,M.~Molchanov criterion
p. 131-138
A~minimax theorem
p. 139-141
Basis property of a part of the system of eigenvectors of a holomorphic operator-function
p. 142-144
Diffusion approximation of star-shaped symmetric networks with losses
p. 144-146
Estimates of norms of operators that are continuous in measure
p. 146-148
Pointwise strong summability of multiple Fourier series
p. 148-150
Weak convergence to processes connected with stable distributions
p. 150-153
Approximation of differential polynomials on classes of vector functions
p. 153-155

Sommaire du Fascicule no. 2

Derivatives of the algebra of smooth functions on a locally compact Abelian group
p. 3-13
Two-dimensional extremal surfaces with jointly extremal partial derivatives
p. 14-19
Peano curves and moduli of continuity
p. 20-27
Logarithmic asymptotics of polynomials orthogonal on $R$ with asymmetric weights
p. 28-36
Optimal algorithms for $\mathbf{co}\mathscr{NP}$-sets and the $\mathscr{EXP}\stackrel{?}{=}\mathscr{NEXP}$ problem
p. 37-46
New variants of the collocation method for integral equations of the third kind
p. 47-53
A~uniqueness theorem for Dirichlet series
p. 54-60
Properties of $CR$-functions and their restrictions to submanifolds
p. 61-66
Asymptotic behavior of Weyl--Titchmarsh m-function in the case of the Dirac system
p. 67-76
Asymptotic finite solutions of degenerate quasilinear parabolic equations with small diffusion
p. 77-88
Riemann--Hilbert problem for analytic families of representations
p. 89-97
Some special braids
p. 98-104
Solvability of boundary value problems for fourth order systems of differential equations
p. 105-110
Meaning of evolution of a parameter in an abstract quasilinear parabolic equation
p. 111-119
Minimal solvable algebraic groups with a finite center
p. 120-124
Differentiability with respect to parameters in the presence of a priori estimates
p. 125-130
Snake theorems for monosplines with multiple nodes
p. 131-141
Nilpotency in varieties of groups with operators
p. 142-145
Morse inequalities for almost-periodic functions
p. 146-151
Implicit-function subdifferentiation formulas for Lipschitz mappings
p. 152-153
Inequality between moduli of smoothness of different orders in different metrics
p. 153-155
Nonlinear comparison theorems on graphs
p. 155-157
Some questions of the spectral theory of operator-matrices
p. 157-159

Sommaire du Fascicule no. 3

The~geometry of submanifolds of a pseudo-Euclidean space $E^n_{2n}$
p. 3-11
Behavior as $t\to+\infty$ of positive solutions of the first boundary value problem for semilinear parabolic equations
p. 12-19
Real parts of functional algebras
p. 20-26
Tangent and frame bundle harmonic lifts
p. 27-37
A~Lie algebra that can be written as a sum of two nilpotent subalgebras is solvable
p. 38-43
Operators and generalized functions, decomposable with respect to systems of coordinates
p. 44-53
A~remark on the trigonometric basis
p. 54-57
Algebraic polynomials with integer coefficients deviating little from zero on an interval
p. 58-67
The cardinality of parametric bases in chain logics
p. 68-75
Infinite nontangential limits of harmonic functions
p. 76-80
Spectrum of a random Schr\"odinger difference operator
p. 81-86
Canonical Hamiltonian representation of the Krichever--Novikov equation
p. 87-96
Problem of behavior of an integral of a conditionally periodic function
p. 97-106
Solvability of a certain inverse problem for a parabolic equation in a H\"older class
p. 107-112
Accessibility sets of differential inclusions in a closed domain
p. 113-121
Some examples of maximally complex cycles in $\mathbf P^n(\mathbf C)$
p. 122-128
Diophantine approximations involving primes near squares
p. 129-134
Estimates of support functions of averaged differential inclusions
p. 135-142
Spectra of $p$-elements of finite $p$-solvable complex linear groups
p. 143-151
Interaction of kinks in the KPP--Fisher equation
p. 152-154
Change of the extreme scale in turbulent flow from Kolmogorov to Taylor type in dependence of external noise
p. 154-155

Sommaire du Fascicule no. 4

Some applications of the theory of operators in Krein spaces to the solvability of nonlinear Hamiltonian systems
p. 3-9
Properties of quadratic maps in a Banach space
p. 10-20
Partial sums of a trigonometric series with convex coefficients
p. 21-27
The~Helly intersection theorem
p. 28-32
Structure of the ad\`ele group of a product of algebraic groups
p. 33-37
Stabilization of energy for a wave equation with memory
p. 38-46
Behavior of the sum of a Dirichlet series having a prescribed growth
p. 47-56
Approximation of a subharmonic function of infinite order by the logarithm of the modulus of an entire function
p. 57-60
The semilattice of computable families of recursively enumerable sets
p. 61-66
Automatic continuity of operators in vector lattices
p. 67-74
Integral equations for the problem of stationary waves produced by a floating body
p. 75-83
Viable parametrization of continuous many-valued mappings
p. 84-87
Geometry of the spectrum of the one-dimensional Schr\"odinger equation with a periodic complex-valued potential
p. 88-95
Extreme subsets of operator intervals
p. 96-101
Number of small solutions of a homogeneous linear congruence
p. 102-107
Symmetric representations of algebras with involution
p. 108-113
Improvement of an inequality of Hardy containing an estimate of the size of an intermediate derivative of a function
p. 114-122
Preservation of invariant manifolds of Hamiltonian systems in the presence of a perturbation
p. 123-131
Analytic solutions of the functional equation $(xy)x=x(yx)$
p. 132-140
Minimum principle for bounded holomorphic functions in many-dimensional domains
p. 141-149
Smoothness and limiting properties of solutions of a second-order parabolic equation
p. 150-152
Nonisomorphic full automorphism groups of nonseparable measure spaces
p. 152-154
Behavior of nearly homothetic mappings
p. 154-156

Sommaire du Fascicule no. 5

Self-adjoint and non-self-adjoint extensions of the symmetric operator generated by an infinite Jacobi matrix
p. 3-8
Removable singularities of solutions of second-order parabolic equations
p. 9-17
Separability and distance
p. 18-22
Rate of approximation of functions in the Hardy--Orlicz classes $H_{\varphi}$
p. 23-31
Asymptotics of an integral that arises in the theory of perturbations of KdV solitons
p. 32-42
Condition for a regular set function in a topological space to be exhaustive
p. 43-47
Isoperimetric estimates of the second boundary value problem for the Poisson equation
p. 48-53
Boundedness and compactness criteria for a certain difference inclusion
p. 54-60
Cavalieri conditions for a $k$-dimensional radon transformation
p. 61-68
Nonnegative trigonometric polynomials in many variables and cubature formulas of Gaussian type
p. 69-74
Convex sections of graphs of continuous functions
p. 75-80
Polynomial convexity of some sets in $C^n$
p. 81-89
Continuation of homogeneous functionals with a given convexity
p. 90-96
Equations of hydrodynamic type from the point of view of the theory of webs
p. 97-108
The Ock--Grawert principle for the extension of holomorphic line bundles with integrable curvature
p. 109-119
An~integral estimate of distances between cross sections of two sets by planes
p. 120-128
Hausdorff dimension of a class of non-self-similar fractals
p. 129-133
Inverse problem for integrodifferential operators
p. 134-146
Estimates for the Kolmogorov diameters of classes of functions with conditions on the mixed difference in the uniform metric
p. 147-149
Estimate for the remainder in the Tate formula
p. 149-151
Fluctuation of averages in the strong law of large numbers
p. 151-153
Application of quasi-classical methods in a study of the Belavkin quantum filtration
p. 153-156
Perturbation method for a weakly nonlinear hyperbolic first order problem
p. 156-158

Sommaire du Fascicule no. 6

Subgroups of the braid group $B_4$
p. 3-13
Maximum principle for spatial quasiconformal mappings
p. 14-23
On~best uniform approximations by splines in the presence of restrictions on their derivatives
p. 24-30
On~the level density of random band matrices
p. 31-42
Sturm--Liouville problem with irregular asymptotics of eigenvalues
p. 43-51
A~completeness criterion of subgroups of finite covolume in a Lie~group
p. 52-56
An~inverse approximation theorem in various metrics
p. 57-65
Factorizations of a nonlinear wave equation
p. 66-70
Solvability of Fuchsian equations depending on a parameter
p. 71-84
Optimal recovery of functionals based on inaccurate data
p. 85-93
Optimization of differential inclusions with state constraints and duality
p. 94-104
Existence conditions for solutions of quasidifferential equations which do not belong to the space $\mathscr L^p(0,+\infty)$
p. 105-115
$CR$-straightening of real manifolds in $C^n$
p. 116-121
Jumps of certain classes of $\Delta^0_2$-sets
p. 122-125
A~problem on the uniform continuity of a family of nonadditive set functions
p. 126-130
Cyclic homology of certain topological spaces formal in the sense of Sullivan
p. 131-141
Estimation of the negative spectrum of a lower semibounded self-adjoint operator
p. 142-145
On~the Kneser embedded edge theorem
p. 145-147