Geodesic

Sommaire du Fascicule no. 1

On searching essential factors in linear model
p. 1-12
On identities of some varieties of associative algebras
p. 13-22
Numerical solution for linear time optimal control problem
p. 23-42
On integrability and $L_1$-convergence of double series with respect to multiplicative systems
p. 43-49
$\mathbf U$-semigroups of relations
p. 51-61
On the~approximate confidence intervals for the~unknown mean of stationary associated random field
p. 63-71
An~asymptotic formula for the~sum of values of divisor function
p. 73-79
On unconditional and absolute convergence of wavelet type series
p. 81-92
The prime ($RI^*$-decidable) radical of the~unitary group over a~ring with involution
p. 93-119
Isotopes of the~free algebra of type $(-1,1)$ with three generators
p. 121-131
On the lifetime of configurations in homogeneous structures
p. 133-142
The polynomial approximation of zeros of the~Bessel functions
p. 143-162
A~semifield plane of rank~2 admitting nonlinear Baire involution
p. 163-170
Monomial conjecture and Buchsbaum modules
p. 171-177
On strongly regular graphs with parameters $(75,32,10,16)$ and $(95,40,12,20)$
p. 179-193
The~law of large numbers and the~logarithmic law for arrays
p. 195-206
About some approach to the~theory of Nikolski\v{i}--Besov spaces on homogeneous manifolds
p. 207-223
Realization of geodesic flow in the~$k$-product monopoly
p. 225-236
Interpolation polynomials in Hilbert space and some extremum problems
p. 237-247
Reduction of the~two-body problem with central interaction on simply connected surfaces of a~constant curvature
p. 249-263
Characteristics of pairs of operators, Lie hybrids, Poisson brackets and nonlinear geometric algebra
p. 265-273
On ranges of polynomials in the~ring $M_2(\mathbb Z/8\mathbb Z)$
p. 275-280
On the~boundary value problems for a~degenerate system of partial differential equations
p. 281-285
About isomorphism $G\otimes A\cong G$ for vectorial groups
p. 287-292
Radicals of semiperfect rings related to idempotents
p. 293-298
Constant curvature surfaces in the~constant curvature quasi-Riemann space and the~Klein--Gordon equation
p. 299-303
Maximal congruences on a~semifield of continuous positive functions
p. 305-310
The~confluent Heun equation with two singularities and the~modified Schr\"odinger equation with two accessory parameters
p. 311-314

Sommaire du Fascicule no. 2

Number systems in Abelian topological groups
p. 319-356
On two-dimensional integral varieties of a~class of discontinuous Hamiltonian systems
p. 357-377
On the existence of the classical solution of the hyperbolic Monge--Ampere equation on the whole
p. 379-390
Free partially commutative Lie superalgebras: dimensions of homogeneous components
p. 391-399
The~systoles of uniform lattices on a~three-dimensional Heisenberg group with a~Carnot--Carath\'eodory metric
p. 401-432
Some details of modeling of heat transfer with catalytic surfaces in the~re-enter atmosphere problem
p. 433-439
On the removability of singularities of $CR$-functions
p. 441-454
Non-Archimedean polyhedra decompositions of ultrauniform spaces
p. 455-475
On closedness of curves with periodic curvature
p. 477-483
On Poisson--Abel method of summing up Fourier series with respect to multiplicative systems
p. 485-500
The basis of identities of the matrix algebra of the second order over $\mathbb Z_{p^2}$
p. 501-531
Modified classification algorithm of $k$-nearest neighbor type
p. 533-548
On the~homogenization of some nonlinear variational problems
p. 549-563
On~some maximal operators, connected with the~operation of convolution
p. 565-581
Analytical form of the Eratosthenes sieve
p. 583-597
Some properties of purity in Abelian groups
p. 599-606
A~necessary condition of co-length finiteness of Lie algebra variety in the~case of zero-characteristic field
p. 607-616
Periodic trajectories in a~Denjoy counterexample
p. 617-620
Inverse problem for an~ordinary differential operator on~$L_p$ ($p>2$)
p. 621-626
Atomic theories of residuated semigroup families
p. 627-632
Initial value problems for the Fermi--Pasta--Ulam equation
p. 633-635

Sommaire du Fascicule no. 3

Universal commutative Hopf algebras coacting on quantum polynomials
p. 637-642
The prime radical of the special Lie algebras
p. 643-648
Exponential Diophantine equations in rings of positive characteristic
p. 649-668
Gr\"obner and Gr\"obner--Shirshov bases in algebra and conformal algebras
p. 669-706
Elementary equivalence of linear and algebraic groups
p. 707-722
Asymptotics of the~solution of a~system of equations in partial derivatives of the~first order with a~small parameter at some derivatives
p. 723-738
Fully invariant subgroups of torsion free Abelian groups and their lattices
p. 739-751
Graded local rings
p. 753-756
Roots in the universal covering group of the unimodular $2\times2$-matrix group
p. 757-776
Conditions for solvability of linear equation systems over rings
p. 777-788
On parasitic solutions of systems of equations on Belyi functions
p. 789-792
Mixed Abelian groups as modules over their endomorphism rings
p. 793-812
On convergence of generalized systems similar to orthogonal ones
p. 813-829
Object-oriented representation of hierarchical Petri nets
p. 831-840
On the Schr\"odinger equation for helium atom
p. 841-858
Polynomial approximation of functions defined on a~finite interval of the~real line
p. 859-871
On a~conjecture of Rydberg: $(e/c)/(h/e)=\pi/\textup{(unidentified expression)}$
p. 873-874
Verbal subgroups of the finitary automorphism group of a $2$-adic tree
p. 875-888
A~wreath product of semigroups and varieties of finite index
p. 889-902
Projective modules over bounded Dedekind rings
p. 903-911
Semilocal right distributive skew Laurent series rings
p. 913-921
On~functional identities of degree~2 in prime rings
p. 923-938
Homomorphisms which preserve $p$-disjointness
p. 939-952

Sommaire du Fascicule no. 4

Analogues of the~rational series in the~locally convex space
p. 955-976
On tensor products of strict $C^*$-algebras
p. 977-984
On ergodicity of a~system with two types of interacting particles
p. 985-993
On uniqueness of boundary conditions regeneration by the~spectrum
p. 995-1006
Jacobi forms and a~two-variable $p$-adic $L$-function
p. 1007-1021
Prime radical of elementary Chevalley group (series of classical types)
p. 1023-1059
Mixed problem in a~magnetized semiconductor film with cuts along a~straight line
p. 1061-1073
Estimation of the~difference of spectral functions of the~Legendre-type operators
p. 1075-1082
Bounds for the~number of occurrences of elements in a~linear recurring sequence over a~Galois ring
p. 1083-1094
Differential geometry of principal toroidal fiber bundles
p. 1095-1120
On new \textit{a~priori} estimates for modified Navier--Stokes equations in domains with nonsmooth boundaries in three-dimensional space
p. 1121-1129
On symmetry of some Runge--Kutta methods
p. 1131-1140
Quasi-multipliers and left multipliers as strict essential extensions of C*-algebras
p. 1141-1154
Propositional formulas closed in the~minimal calculus
p. 1155-1191
On decidability of the~equational theories of ring varieties of finite characteristic
p. 1193-1203
Lipshitz retractions and the~operator of generalized rational approximation
p. 1205-1220
A~new proof of Razmyslov's theorem about trace identities of matrix superalgebras
p. 1221-1227
Algorithms to realize the~rank and primitivity of systems of elements in free non-associative algebras
p. 1229-1238
On nil- and nilpotent finitely defined algebras
p. 1239-1245
A~new exact solution of Einstein--Maxwell equations
p. 1247-1250
Equality algebras and varieties
p. 1251-1255
A~construction of principal ideal rings
p. 1257-1261
Existence of almost everywhere convergent rearrangements of expansions with respect to systems similar to orthogonal ones
p. 1263-1268