Geodesic

Sommaire du Fascicule no. 1

Splitting of perturbated differential operators with unbounded operator coefficients
p. 1-16
About determinableness of an Abelian group by its holomorph in the~class of all Abelian groups
p. 17-25
The~tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable
p. 27-38
A~mathematical model of goods production and sale for production supervision and planning
p. 39-45
A mixed problem in a~magnetized semiconductor film with two periodic systems of cuts
p. 47-60
Catalytical surface boundary conditions for Martian atmospheric entry
p. 61-69
A mathematical model of the DQDB protocol
p. 71-83
On the sum of squares of five prime numbers one of which belongs to an arithmetic progression
p. 85-96
The~boundary-value problem for the~equations of radiation transfer of polarized light
p. 97-115
On pseudogeometrical graphs for some partial geometries
p. 117-127
Cost bound for LLL--Grigoryev method for factoring in $GF(q)[x,y]$
p. 129-139
On lower bound of the norm of integral convolution operator
p. 141-150
Impulse control of Liapunov exponents.~I
p. 151-169
Impulse control of Liapunov exponents.~II
p. 171-185
On rate of approximation of critical excursion probability for random process by moments method
p. 187-194
Algebraic interpretation of derivation axioms completeness
p. 195-219
T-prime varieties and algebraic algebras
p. 221-243
On an application of the Stokes' theorem in global Riemannian geometry
p. 245-262
On some cubic equations
p. 263-271
On existence of unit in semicompact rings and topological rings with finiteness conditions
p. 273-279
Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory
p. 281-287
On vanishing of the first cohomology groups over separable Abelian groups
p. 289-300
On the computing of the eigen\-values of the Orr--Sommerfeld problem
p. 301-305
$A^{\land}$-integration of Fourier transformations
p. 307-312
New algebraic structure of Steiner triple systems
p. 313-318

Sommaire du Fascicule no. 2

Generalized Haar system and theorems of embedding into symmetrical spaces
p. 319-334
The variety $\mathbf N_3\mathbf N_2$ of commutative alternative nil-algebras of index~3 over a~field of characteristic~$3$
p. 335-356
On the type number of nearly-cosymplectic hypersurfaces in nearly-K\"ahlerian manifolds
p. 357-364
Topological Helly theorem
p. 365-405
Fully invariant subgroups of Abelian groups and full transitivity
p. 407-473
Trees of diameter~4
p. 475-494
On the finite basis property of a~variety of associative algebras
p. 495-501
On the recognition of the finite definiteness of an automation monomial algebra
p. 503-516
Quadratic transformations of multiple hypergeometric series
p. 517-531
Generalized uniform automorphisms
p. 533-545
Relativistic charge in plane wave
p. 547-557
Cook's method in the problem of the many-body Coulomb wave operator convergence
p. 559-566
Algebraic approach in the ``outer problem'' for interval linear systems
p. 567-610
A parallel number transformation method from a~residue system into a~mixed base system
p. 611-615
On the construction of the generating function for an annihilator
p. 617-620
Probabylistic classification methods of cellular automata
p. 621-626
Conjugation in the incidence algebras
p. 627-630
On positive theories of semigroup varieties and pseudovarieties
p. 631-635

Sommaire du Fascicule no. 3

Some 2-properties of the autotopism group of a~$p$-primitive semifield plane
p. 637-645
On the solvability of the discrete logarithm problem in residue classes
p. 647-653
Instant of disorder of random sequence detection's algorithm
p. 655-665
Semigroup rings and prime radicals of ring and semigroup
p. 667-687
The order and type of operators and entire vector-valued functions
p. 689-703
Integrable cubic ODEs on free associative algebras
p. 705-720
On graded rings and varieties
p. 721-727
On a~boundary value problem, describing the Hall effect in a~semi-conductor with two periodic sets of electrodes
p. 729-742
Random broken isoquants limits
p. 743-753
Isometric implementations of Bricard's octahedra of type 1~and~2 with given volume
p. 755-768
On locally nilpotent radical of special Lie algebras
p. 769-782
The elements of the constructive model theory
p. 783-828
On independently based varieties of monoids
p. 829-876
Nonlinear vibrations of a~nonhomogeneous string
p. 877-886
On the $\gamma$-classical varieties
p. 887-910
Exact asymptotic behaviour of the renewal measure in the ``critical'' case
p. 911-920
Some questions of the structure of the programmed iterations method
p. 921-942
On Hermitian manifolds, satisfying the $U$-cosymplectic hypersurfaces axiom
p. 943-947
On the ranks of direct sums
p. 949-953

Sommaire du Fascicule no. 4

Volterra convolution equation of first kind on segment
p. 955-966
Relative completeness for functional systems of polynomials
p. 967-977
Systems of linear equations over modules
p. 979-991
Existence of the global generalized solution of one-dimensional problem of a~viscous barotropic gas flow
p. 993-1007
On some diophantine equation
p. 1009-1017
On extremal properties of the dominant eigenvalue
p. 1019-1034
Problems and theorems of variational modeling in ecology of communities
p. 1035-1045
Optimal recovery of values of smooth functions and their derivatives using inexact information on a~segment
p. 1047-1058
Operators, commuting with operators of finite order
p. 1059-1067
The analytic representation of $CR$~functions on the hypersurfaces with singularities
p. 1069-1090
Logarithmic velocity of convergence in CLT for stochastic linear processes and fields in a~Hilbert space
p. 1091-1098
On the diagrams of classes of conditionally termal functions
p. 1099-1109
Equilibrium and Pareto-optimality in noisy non-zero sum discrete duel
p. 1111-1128
On the mixed problem for Laplace equation outside cuts, placed along a~circumference in a~plane
p. 1129-1158
Zeroes of Schr\"odinger's radial function $R_{nl}(r)$ and Kummer's function ${}_1F_{1}(-a;c;z)$ ($n10$, $l4$)
p. 1159-1178
On relation of measure-theoretic and special properties of $\mathbb Z^d$-actions
p. 1179-1192
Separators in planar graphs as a~new characterization tool
p. 1193-1214
On quasi-closed mixed groups
p. 1215-1224
On some properties of partial sums of the Taylor series for the analytical functions in the circle
p. 1225-1233
On solvability of the initial problem for linear regular non-homogeneous differential systems
p. 1235-1238
Hilbert's transformation and $A$-integral
p. 1239-1243
An algebraic characterization for rings of continuous quaternion-valued functions
p. 1245-1249
On one ill-posed singularly perturbed problem
p. 1251-1254
Sessions of the seminar ``Actual problems of geometry and mechanics''
p. 1255-1266
Correction to the article ``On relation of measure-theoretic and special properties of $\mathbb{Z}^{d}$-actions" (Fundamental and Applied Mathematics, 2002, V. 8, no. 4, 1179-1192)