Geodesic

Sommaire du Fascicule no. 1

Optimization of collocation methods for solving integral and differential equations
p. 3-11
Projections of two-step nilpotent Lie algebras
p. 12-15
The approximate solution of a~matrix Riemann problem
p. 16-19
Faber series and the problem of linear conjugation
p. 20-26
The method of linearized residuals for the approximate solution of functional equations
p. 27-33
Accelerated algorithms for multiplication of a~transposed vector by matrices ‖GO‖ and ‖GGT‖
p. 34-38
On the question of the involutivity of systems of Pfaffian equations
p. 39-44
Absolute summability of degree p of series that are connected with Fourier series, by triangular matrix methods
p. 45-49
The existence of a~second eigenvalue of a~linear integral operator with a~nonnegative kernel
p. 50-52
Properties of roots of some polynomials depending on a~parameter
p. 53-56
The Norden-normalized submanifold with a~parallel field of normal directions in Pn
p. 57-63
Continuous inverse semigroups of open partial homeomorphisms
p. 64-65
Zero solutions of partial differential evolution equations with deviating time argument
p. 66-68
On the spline method for solving integral equations
p. 68-71
Regularization of the construction of a~nonsingular solution of a~linear equation of the first kind with degeneracy
p. 71-74
Perturbation of linear operators
p. 74-75
A~polynomial algorithm for finding minimal vertex coverings for a~class of planar graphs
p. 75-77
A~relaxation subgradient algorithm for minimizing convex functions
p. 77-79
The dual theory of regular distributions of hyperplane elements in a~space with projective connection.~I
p. 79-82
The convergence of a~quadrature process for a~singular integral with power-logarithmic singularity
p. 82-84

Sommaire du Fascicule no. 2

A~formula for the frequency number of the oscillations of a~rotating shell with a~fixed number of waves along the parallel
p. 3-14
Frequency conditions for the existence of circular motions and second-order limit cycles in phase systems
p. 15-21
Approximate solution of boundary value problems for the wave equation
p. 22-28
A~group of matrices and Legendre kernels
p. 29-33
An integral representation of functions, satisfying homogeneous boundary conditions, and its applications
p. 34-44
The approximate solution of one-sided variational problems
p. 45-58
Estimates of minimal deviations in E.\,I.~Zolotarev's problems connected with rational functions
p. 59-62
A~quasigroup generated by a~class of two-parameter families of two-dimensional planes in P5
p. 63-66
A~special case of the Riemann problem for a~countable set of contours with two limit points
p. 66-69
On estimating the complexity and approximate decoding of combinatorial descriptions
p. 70-72
Regular and completely nonregular systems of colligations and their characteristic functions
p. 73-75
Finite and independent axiomatizability of some quasivarieties of semigroups
p. 76-78
Characters of irreducible representations of the group Gn of formally analytical transformations of length~n over the prime field of characteristic p>0. Case p≥n−1
p. 79-80
Multiplications of distributions generated by Wightman functions, and an algebra of hyperdistributions
p. 80-84

Sommaire du Fascicule no. 3

Investigation of the Hermite-Fejér process constructed in an extended system of ultraspherical node
p. 3-7
Synthesis of linear systems with constraints on the control
p. 8-11
The Hilbert problem for a~bi-half-plane
p. 12-16
A~group of transformations for a~planar static theory of elasticity
p. 17-18
A~method of constructing a~stable solution of an operator equation on the spectrum
p. 19-21
Singular integral operators with non-Carleman shift
p. 22-31
Lattice isomorphisms of nonperiodic semigroups with cancellation law
p. 32-44
Asymptotic properties of uniform approximations of functions with algebraic singularities by partial sums of a~Fourier--Chebyshev series
p. 45-49
Skeleta of solvable almost Cross varieties of Lie algebras
p. 50-61
Integral inequalities for conjugate harmonic functions of several variables
p. 62-66
Generalization of a~theorem of \'E.~Cartan
p. 67-70
The Carleman boundary value problem on a~Riemann surface
p. 71-74
The problem of reduction of automata
p. 75-77
Conformal mapping of a~half plane on circular quadrangles with a~cut
p. 77-79
Periodic solutions of a~system of linear differential equations with a~small parameter
p. 80-84
The dual theory of regular distributions of hyperplane elements in a~space with projective connection.~II
p. 84-87

Sommaire du Fascicule no. 4

Leninist theory of knowledge and philosophical problems of mathematics
p. 3-5
A~space of continuous mappings
p. 6-10
Imbedding theorems and inequalities of various metrics for best approximations with respect to the Haar system
p. 11-15
Normal interpolation property of a~family of H\"older spaces
p. 16-17
The collocation method for a~class of partial differential equations
p. 18-23
Some properties of absolutely convergent double trigonometric series
p. 24-31
The differential geometry of smooth nonregular surfaces.~II
p. 32-38
Irreducible representations of the Lie~p-algebra W2
p. 39-46
A~mathematical consideration of the problem of longitudinal impact on a~rod in the presence of the Boltzmann-Volterra law
p. 47-52
Best approximation of differentiable functions by algebraic polynomials
p. 53-60
Generalization of Tauberian theorems for a~class of (J,pn)-summability
p. 61-68
Boundary value problems for meromorphic pseudodifferential operators
p. 69-78
A general class of inequalities containing the Steffensen inequality and its generalization
p. 79-80
Uniform approximation by polynomials on a~segment of a~function of Mittag-Leffler type.
p. 81-86
Approximation of functions with a~convex derivative by means of splines
p. 87-95
Homogeneous spaces with a~small number of irreducible components of a~group of rotations
p. 96-98
Free completely simple semigroups
p. 98-100
Prime divisors of recurrence sequences
p. 100-103

Sommaire du Fascicule no. 5

Conformal mapping of some circular polygons on a~rectangle
p. 3-7
Structure of a~set of a¯-representable numbers
p. 8-11
Successive approximation method for solution of nonlinear extremal problems
p. 12-15
Best one-sided approximation on an interval
p. 16-21
Finite solvable groups with supersolvable maximal subgroups
p. 22-27
A~best quadrature formula for integrals with a~Cauchy kernel
p. 28-31
Existence of α-dimension of partial orders
p. 32-36
On the theory of recursive functionals and effective operations
p. 37-39
A theorem of Mac Lane
p. 40-41
The method of induced properties in the theory of implicit differential-operator equations of retarded type
p. 42-46
Some conditions for distributivity of a~lattice with unique complements
p. 47-49
On variational equations of mixed type in elasticity theory
p. 50-57
Formula and estimates for solutions of the equation du=f in a domain and on the boundary of a~domain
p. 58-66
Solution of a~Darboux problem by reducing it to a~Goursat problem
p. 67-72
Extensions of transitive groups on compact homogeneous spaces
p. 73-76
Affine connections on a~Grassmann manifold
p. 76-78
Simple graded Lie algebras
p. 78-82
Well-posedness of the Cauchy problem for certain degenerate hyperbolic equations
p. 83-84
Partial differential equations with deviating argument
p. 84-88

Sommaire du Fascicule no. 6

Associative multiplication of certain homogeneous generalized functions
p. 3-7
Some mathematical aspects of the theory of shells
p. 8-19
On the well-posedness of the Cauchy problem for a~model equation with fourfold characteristics
p. 20-22
Semigroups that are nilpotent in the sense of Mal'tsev
p. 23-29
Multidimensional analogue of the Herglotz formula
p. 30-33
Cohomological reduction of the periods of certain rational and meromorphic forms in Cn
p. 34-35
Hankel and other matrices generated by rational fractions
p. 36-43
On the discrete vortex method for a~wing of infinite span and the Prandtl equation for a~wing of finite span
p. 44-51
Fundamental solutions of equations of shallow shells
p. 52-56
First integrals of a~quasilinear elliptic equation
p. 57-61
Some properties of H-projective recurrent K\"ahlerian spaces
p. 62-65
The Dirichlet problem for a~system of Euler--Poisson--Darboux equations in a~half-plane and strip perpendicular to the line of degeneracy
p. 66-71
The trajectories of convergence of vector fields in the spaces An
p. 72-79
Harmonic analysis on a~finite sphere
p. 80-82
Embedding in some Lorentz spaces
p. 83-85
Some relativized P-algebras of multiplace functions
p. 85-86

Sommaire du Fascicule no. 7

Connection of methods of Calder\'on interpolation
p. 3-5
A~fibering connected with a~local structure of an analytic set.
p. 6-9
A~projection method of solution of nonlinear operator equations by means of approximation by L-splines
p. 10-13
Regularizing algorithms whose convergence is equivalent to solvability of certain linear operator equations
p. 14-20
An algebraic method of convolution of series of several complex variables and some integral formulas
p. 21-29
Projections of periodic nil-rings
p. 30-38
Interval quadrature formulas with multiple nodal intervals
p. 39-44
A~generalized Cauchy--Riemann system with two independent complex variables
p. 45-46
Iteration regularization for equations on a~spectrum
p. 47-49
Some peculiarities of the dependence of the stability of difference schemes on boundary conditions
p. 50-53
A~two-dimensional Fredholm integral equation of the third kind
p. 54-64
Some properties of subspaces of Lp spaces
p. 65-70
Riemannian homogeneous spaces generated by automorphisms
p. 71-73
Stability theorem for fibres of Riemannian parallel foliations
p. 74-76
Determination of a~connection compatible with a~symplectic structure on a~differentiable manifold
p. 77-79
Solution of systems of nonlinear integral equations by the moment method
p. 79-82
The Riemann problem in the case of a~countable set of contours in a~class of generalized analytic functions
p. 82-85
Meeting-seminar of heads of departments of applied and computational mathematics of universities
p. 86-88

Sommaire du Fascicule no. 8

Estimate of the remainder term of an analogue of Taylor's formula for systems of implicit functions
p. 3-7
On completeness and projection properties of homomorphic images of vector lattices
p. 8-19
A~class of strongly B-solvable linear regularizing algorithms
p. 20-26
Generalized parallelism in a~projective space
p. 27-31
Classification of K\"ahler structures induced by vector triple products on six-dimensional submanifolds of the Cayley algebra
p. 32-38
Martin's boundary for elliptic operators in Rn
p. 39-45
Approximate solution of functional equations with nondifferentiable operators by the linearization method.~II
p. 46-51
Imbedding theorems for certain weight classes.~I
p. 52-62
Exact constant of approximation in the mean of Liouville's class by entire functions
p. 63-65
Imbedding of classes of functions that are defined on zero-dimensional groups
p. 66-76
Estimation of the criticality parameter of a~class of branching processes
p. 77-84
Classes of conjugate elements of the group Sl(2,Z/pλZ), p≠2
p. 85-88

Sommaire du Fascicule no. 9

To the memory of Mikhail Andreevich Koltunov
p. 3-4
Properties of coefficients of orthogonal series
p. 5-6
Structure of weight cubature formulas for singular integrals using spline-functions
p. 7-12
Sufficient conditions for linear convexity and some properties of linearly convex domains with a~smooth boundary
p. 13-17
Asymptotic behavior with respect to a~small parameter of the solution of a~second-order differential equation on a~manifold with corners
p. 18-24
Order-convergence in the lattice of subgroups of a~topological group
p. 25-29
On a~problem of N.\,G.~Chebotarev
p. 30-31
Projections of compact semilattices
p. 32-40
A~boundary value problem with constant coefficients for a~system of two equations of mixed-composite type
p. 41-49
Uniqueness of the solution of a~problem of V.~Markov
p. 50-52
A~quasigeodesic mapping
p. 53-55
Critical frequencies of canonical systems, invariant with respect to time reversal, with periodic coefficients
p. 56-64
Examples of application of a~generalized Kolmogorov formula to sums of dependent variables
p. 65-70
A~simple process of numerical differentiation
p. 71-73
Solvability of a~mixed inverse boundary value problem for a~doubly-connected domain
p. 73-76
A~two-dimensional surface of an autocomposition space
p. 77-78
On the question of representing the solution of a~mixed problem for a nonlinear equation of the theory of viscoelasticity
p. 78-81
Finite charges in von Neumann algebras
p. 81-82
On the question of approximating continuous functions by singular integrals
p. 82-85
Bisingular operators in convolutions and bipotentials in spaces with a~mixed norm
p. 85-88

Sommaire du Fascicule no. 10

Boris Lukich Laptev (on the occasion of his~75th birthday)
p. 3-5
Representations of linear Ω-algebras in the form of products
p. 6-14
Alternative and Leibniz algebras of distributions
p. 15-22
A~class of multidimensional distributions
p. 23-28
Approximate solution of a~Hilbert boundary value problem
p. 29-35
Imbedding theorems for certain weight classes.~II
p. 36-48
Groups with finite classes of conjugate infinite abelian subgroups
p. 49-54
Integral representation of functions of classes~A and Hσ
p. 55-59
Global structure of reducible Riemannian manifolds
p. 60-62
Approximate calculation of multidimensional singular and hypersingular integrals
p. 63-66
Surfaces carrying a~net of lines of curvature
p. 66-69
Unconditional bases and shrinking basic sequences
p. 69-72
Applicability of the reduction method to systems of singular integral equations
p. 73-75
Interpolation in Lp-spaces with mixed norm
p. 75-78
Construction of asymptotic quasiperiodic solutions for a~nonlinear system of second-order equations
p. 78-80
Fourier--Laguerre series and Lagrange interpolation polynomials
p. 80-83
Continuity of the indicator of an entire function with ``plane zeros''
p. 83-85
The resultant of ordinary linear difference operators
p. 85-87

Sommaire du Fascicule no. 11

Il'tizar Gizatovich Teregulov (on the fiftieth anniversary of his birth)
p. 3-4
Groups of almost projective motions of n-dimensional (pseudo) Euclidean spaces
p. 5-11
Conditions for the topological equivalence of two-dimensional Morse--Smale diffeomorphisms
p. 12-17
Application of a~projection-iteration analogue of the Newton--Kantorovi\v{c} method to a~nonlinear singular integral equation with a~Cauchy kernel
p. 18-25
Some mathematical aspects of the theory of shells.~II
p. 26-37
Conditions for convergence of finite-dimensional approximations of the residual method
p. 38-40
On the question of complete continuity of operators of convolution type
p. 41-49
Rational approximation of integrals of Cauchy type and approximate solution of the Riemann problem for a~half plane
p. 50-55
L.\,V.~Kantorovi\v{c}'s theorem for a~class of methods of linearization of the approximate solution of functional equations
p. 56-59
Regularization of types of convex and entire functions with strictly convex order-hypersurface
p. 60-66
On the theory of recursive K\"ahler spaces
p. 67-69
The relation between the solutions of the filtration equation for a~fluid in cracked rocks and the heat equation
p. 70-72
Conformal mapping of a~half plane on circular quadrangles and pentagons with a~cut
p. 72-74
A~method of regulation of a~step in searching for the minimax
p. 74-77
A~class of methods of solving linear ill-posed problems in Hilbert space
p. 77-79
Description of a~space of Riesz potentials in terms of higher derivatives
p. 79-82
New relations of some problems for equations containing a~L\'evy--Laplace operator with problems of mathematical physics
p. 82-85
Monomorphisms of quasigeodesic flows
p. 85-87
Exponential stability of difference equations
p. 87-88

Sommaire du Fascicule no. 12

Calculation of Green matrices of static problems of the theory of thin shells
p. 3-9
On the approximate solution of a~certain class of singular integral equations by the method of improved iterations
p. 10-13
Regularly complete abelian groups
p. 14-19
Topological structure of a~type of unstable fixed point of a~mapping of a~plane into a~plane
p. 20-29
The Gleason theorem for unbounded measures
p. 30-32
Monotonicity of sums of some trigonometric series
p. 33-37
Divergence of Lagrange interpolation processes on countable sets
p. 38-44
Integral transformations in some classes of univalent functions
p. 45-49
Boundary values of conjugate harmonic functions of severa
p. 50-54
Application of the Riemann boundary value problem with a~discontinuous matrix coefficient to mechanics
p. 55-59
Extrema of five-dimensional Epstein zeta functions
p. 60-66
The Riemann problem on a~countable set of convex contours that are condensed toward a~continuum
p. 67-69
Generalized parallelism in a~space of two dimensions M2
p. 69-71
Self-injective rings
p. 71-74
Analogue of the Valiron--Titchmarsh theorem for entire functions with roots on a~logarithmic spiral
p. 74-75
Solution of a~nonlinear problem by the method of degenerate hypergeometric transformations
p. 75-78