Geodesic

Sommaire du Fascicule no. 1

Valerii Vasil'evich Kozlov (congratulation)
p. 1-2
Linear forms of a given Diophantine type and lattice exponents
p. 3-22
On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles
p. 23-51
Two-step sub-Lorentzian structures and graph surfaces
p. 52-94
Real Kummer quartics and their Heisenberg invariance
p. 95-145
Rigid divisors on surfaces
p. 146-185
On a strengthening of certain theorems of Gelfond on the integer-valuedness of analytic functions
p. 186-207

Sommaire du Fascicule no. 2

A new approach to the question of the existence of bounded solutions of functional differential equations of
p. 209-245
Greedy approximation by arbitrary set
p. 246-261
On singularly perturbed systems of ODE with a multiple root of the degenerate equation
p. 262-290
Conditions of modularity of the congruence lattice of an act over a rectangular band
p. 291-323
Vaught's conjecture for weakly $o$-minimal theories of finite convexity rank
p. 324-347
$p$-adic monomial equations and their perturbations
p. 348-360
Some trigonometric polynomials with extremely small uniform norm and their applications
p. 361-391
On $S$-units for valuations of the second degree in hyperelliptic fields
p. 392-435

Sommaire du Fascicule no. 3

On the rate of approximation in the unit disc of $H^1$-functions by logarithmic derivatives of polynomials with zeros on the boundary
p. 437-448
Blow-up instability in non-linear wave models with distributed parameters
p. 449-501
Real Segre cubics, Igusa quartics and Kummer quartics
p. 502-544
On the arithmetic of modified idèle class groups
p. 545-591
On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity
p. 592-607
Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series
p. 608-624

Sommaire du Fascicule no. 4

Viacheslav Valentinovich Nikulin (congratulation)
p. 625-626
On orthogonal projections of Nöbeling spaces
p. 627-658
Functions of perturbed pairs of non-commuting contractions
p. 659-682
Displaying the cohomology of toric line bundles
p. 683-693
Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups
p. 694-721
Homogenization of Kirchhoff plates with oscillating edges and point supports
p. 722-779
Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field
p. 780-795
Integer expansion in systems of translates and dilates of a single function
p. 796-806
Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity
p. 807-815
General orthonormal systems and absolute convergence
p. 816-828

Sommaire du Fascicule no. 5

Uniqueness theorems for one-dimensional and double Franklin series
p. 829-844
On the topology of non-compact simply connected homogeneous manifolds
p. 845-861
Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets
p. 862-909
Subdivision schemes on the dyadic half-line
p. 910-929
Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source
p. 930-959
Distribution of prime numbers and the discrete spectrum of the Laplace operator
p. 960-977
Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds
p. 978-1001
Isotopes of alternative algebras of characteristic different from $3$
p. 1002-1015
On the standard conjecture for a $3$-dimensional variety fibred by curves with a non-injective Kodaira–Spencer map
p. 1016-1035

Sommaire du Fascicule no. 6

Complete description of the Lyapunov spectra of continuous families of linear differential systems with
p. 1037-1055
Geometric estimates of solutions of quasilinear elliptic inequalities
p. 1056-1104
Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides
p. 1105-1160
On the group of spheromorphisms of a homogeneous non-locally finite tree
p. 1161-1191
Bogolyubov's theorem for a controlled system related to a variational inequality
p. 1192-1223
On the uniform approximation of functions of bounded variation by Lagrange interpolation
p. 1224-1249
Letter to the editors
Correction to the paper of A. O. Radomskii, “Some trigonometric polynomials with extremely small uniform norm and their applications”, Izv. RAN. Ser. Mat., 84:2 (2020), 166-196