Geodesic

Sommaire du Fascicule no. 1

Implicit function theorem as a~realization of the~Lagrange principle. Abnormal points
p. 1-24
$M$-strongly convex subsets and their generating sets
p. 25-60
Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples)
p. 61-95
On everywhere divergence of trigonometric Fourier series
p. 97-120
On the theory of generalized entropy solutions of the~Cauchy problem for a~class of non-strictly hyperbolic systems of conservation laws
p. 121-150

Sommaire du Fascicule no. 2

The method of loop molecules and the~topology of the~Kovalevskaya top
p. 151-188
Polynomial integrals of reversible mechanical systems with a~two-dimensional torus as the~configuration space
p. 189-208
An analogue of Morse theory for planar linear networks and the~generalized Steiner problem
p. 209-233
Estimates of the stabilization rate as $t\to\infty$ of solutions of the~first mixed problem for a~quasilinear system of second-order parabolic equations
p. 235-273
Embedding the weighted Sobolev space $W^l_p(\Omega;v)$ in the~space $L_p(\Omega;\omega)$
p. 275-290
On homogenization of a~variational inequality for an~elastic body with periodically distributed fissures
p. 291-306
Contact of a~free boundary with a~fixed boundary
p. 307-315
Errata

Sommaire du Fascicule no. 3

Resonances in the~scattering problem for a~Sturm--Liouville operator
p. 319-328
Counterexamples to the~Specht problem
p. 329-340
Behaviour of solutions of certain quasilinear parabolic equations with power-type non-linearities
p. 341-358
Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type
p. 359-368
Examples of explicit calculation of the~inductive limit of a~family of Lie algebras
p. 369-379
Asymptotic behaviour of the~partition function
p. 381-414
Finite-dimensional limiting dynamics for dissipative parabolic equations
p. 415-429
Unique continuation of solutions of differential equations with weighted derivatives
p. 431-458
Examples of $T$-spaces with an~infinite basis
p. 459-476

Sommaire du Fascicule no. 4

Hamiltonian structures of the~first variation equations and symplectic connections
p. 477-502
Second-order hyperbolic equations with strong characteristic degeneracy at the initial hypersurface
p. 503-527
Residual finiteness of groups and topological dynamics
p. 529-541
Balanced systems of primitive idempotents in matrix algebras
p. 543-565
Non-classical relaxation cycle of a~three-dimensional system of Lotka--Volterra equations
p. 567-581
Rigidity of piecewise convex surfaces of torus type
p. 583-617

Sommaire du Fascicule no. 5

Extremal problems on Pompeiu sets. II
p. 619-632
Birational properties of pencils of del Pezzo surfaces of degrees 1 and~2
p. 633-653
The problem of constructive equivalence in differential geometry
p. 655-681
Matrix analogues of the~beta function and Plancherel's formula for Berezin kernel representations
p. 683-715
Orbits and invariants of cubic matrices of order three
p. 717-724
On a class of pseudodifferential operators in~$\mathbb R^m$ and on stratified manifolds
p. 725-757
Approximation of functions of variable smoothness by Fourier--Legendre sums
p. 759-777

Sommaire du Fascicule no. 6

Systems of random variables equivalent in distribution to the~Rademacher system and $\mathscr K$-closed representability of Banach couples
p. 779-807
On a criterion for the~topological conjugacy of a~quasisymmetric group to a~group of affine transformations of~$\mathbb R$
p. 809-819
On the Dirichlet problem for the Helmholtz equation on the plane with boundary conditions on an almost closed curve
p. 821-848
On the problem of control synthesis: the Pontryagin alternating integral and the~Hamilton--Jacobi equation
p. 849-881
Birationally rigid Fano double hypersurfaces
p. 883-908
An almost Spechtian variety of alternative algebras over a~field of characteristic~3
p. 909-925
On the problem of the~description of sequences of best rational trigonometric approximations
p. 927-936
Double canal hypersurfaces in the~Euclidean space~$E^n$
p. 937-943

Sommaire du Fascicule no. 7

The primitive ideal and Macaulay's inverse system
p. 945-954
Formal sums and power series over a~group
p. 955-971
On an extension of the~method of two-scale convergence and its applications
p. 973-1014
On differential-geometric characteristics of Veronese curves
p. 1015-1031
On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$
p. 1033-1048
Extension of entire functions of completely regular growth and right inverse to the~operator of representation of analytic functions by quasipolynomial series
p. 1049-1073
Asymptotic analysis of an~arbitrary anisotropic plate of variable thickness (sloping shell)
p. 1075-1106
From the Editor

Sommaire du Fascicule no. 8

Massey products in symplectic manifolds
p. 1107-1146
Parametric excitation of high-mode oscillations for a~non-linear telegraph equation
p. 1147-1169
Deformations of classical Lie algebras
p. 1171-1190
Elliptic operators in odd subspaces
p. 1191-1213
Cauchy's integral formula in domains of arbitrary connectivity
p. 1215-1231
Asymptotic behaviour of the~Lebesgue constants of periodic interpolation splines with equidistant nodes
p. 1233-1242
Regular polyhedra and bifurcations of symmetric equilibria of ordinary differential equations
p. 1243-1258

Sommaire du Fascicule no. 9

On the index of $G$-spaces
p. 1259-1277
Spectral properties of an~operator of Riesz potential type and its product with the~Bergman projection on a~bounded domain
p. 1279-1300
Evolution equations with monotone operator and functional non-linearity at the time derivative
p. 1301-1322
Classification of Ric-semiparallel hypersurfaces in Euclidean spaces
p. 1323-1338
Uniform convergence of Pad\'e diagonal approximants for hyperelliptic functions
p. 1339-1373
On some commutative subalgebras of the universal enveloping algebra of the Lie algebra $\mathfrak{gl}(n,\mathbb C)$
p. 1375-1382
Irreducible finite-dimensional Jordan superbimodules over the simple superalgebra~$B(1,2)$
p. 1383-1397
On a smooth quintic 4-fold
p. 1399-1419

Sommaire du Fascicule no. 10

Approximation of a~singularly perturbed elliptic problem of optimal control
p. 1421-1431
Uniform estimate of a~compact convex set by a~ball in an~arbitrary norm
p. 1433-1458
Kovalevskaya exponents of systems with exponential interaction
p. 1459-1469
Coxeter transformations and the number~``$-1$''
p. 1471-1476
Fourier--Laplace transformation of functionals on a~weighted space of infinitely smooth functions
p. 1477-1506
Two-dimensional manifolds with metrics of revolution
p. 1507-1525
Variational calculus on Banach spaces
p. 1527-1540
Analyticity of global attractors and determining nodes for a~class of damped non-linear wave equations
p. 1541-1559
An inverse problem for differential operator pencils
p. 1561-1586

Sommaire du Fascicule no. 11

Convergence of Fourier double series and Fourier integrals of functions on $T^2$ and $\mathbb R^2$ after rotations of coordinates
p. 1587-1606
On a non-local problem for irregular equations
p. 1607-1633
Segment-arrow diagrams and invariants of ornaments
p. 1635-1666
Lifting the functors $U_\tau$ and $U_R$ to the~categories of bounded metric spaces and uniform spaces
p. 1667-1691
The homology groups of the variety of complete pairs $X_{13}$ of zero-dimensional subschemes of lengths~1 and~3 of projective space
p. 1693-1705
On primitive representations of soluble groups of finite rank
p. 1707-1748

Sommaire du Fascicule no. 12

Automorphisms of the~skew field of rational quantum functions
p. 1749-1771
Almost periodic measure-valued functions
p. 1773-1796
Distortion theorems for polynomials on a~circle
p. 1797-1807
Setting and solving several factorization problems for integral operators
p. 1809-1825
Thetanulls and differential equations
p. 1827-1871
Theorems on representation of functions by series
p. 1873-1889
On uniform ergodic theorems for quadratic processes on $C^*$-algebras
p. 1891-1903