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 id\`ele 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 N\"{o}beling 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 K\"ahler 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