Geodesic

Sommaire du Fascicule no. 1

Integration of a~first-order covariant differential equation and of geodesic mappings of Riemannian spaces of arbitrary signature and dimension
p. 3-13
Variational methods and isoperimetric covering theorems for univalent functions
p. 14-18
A general method for determining a~conditional minimax
p. 18-25
Boundary sets of uniqueness for pluriharmonic functions
p. 25-28
Weakly lacunary trigonometric series
p. 28-36
The product of varieties of semigroups
p. 36-41
Application of first-degree splines to the approximate solution of a~singular integro-differential equation
p. 41-50
Asymptotic behavior of the eigenvalues of a~three-dimensional problem of elasticity theory for a~body with a~small inclusion
p. 50-56
Ellipticity of a~two-dimensional problem of elasticity theory in stresses
p. 57-66
Spectral analysis of generators of representations of the unitary group
p. 67-74
A model for the dynamics of an incompressible viscoelastic fluid
p. 74-79
The degree of principal left simplicity of a~semigroup
p. 79-83
Кубанская школа-конференция по геометрической теории функций комплексного переменного
p. 84-85

Sommaire du Fascicule no. 2

Rearrangement of segments and a~problem on the identification of symmetric spaces
p. 3-9
Mathematical principles for the classification of energy states
p. 9-14
Exact constants for the approximation of plane curves by polynomial curves and polygonal lines
p. 14-19
On the overconvergence of universal series
p. 19-22
Locally selfadjoint extensions of nonlinear operators, and Lagrangian manifolds.~I
p. 22-31
Smoothness of the solutions of quasilinear elliptic systems with nondifferentiable coefficients
p. 32-35
Embedding theorems for anisotropic weighted spaces of Sobolev type.~II
p. 36-45
A group of linear transformations that preserve a~trivector of type~$(888; 852)$
p. 45-49
Operators of differentiation and of increasing difference
p. 49-50
Fourier series in orthonormal matrix polynomials
p. 50-60
Almost Lindel\"of and locally Lindel\"of spaces
p. 60-63
A~stable bridge in a~game with vectograms that depend linearly on given sets
p. 63-65
Quasivarieties of endomodels
p. 66-67
Some Volterra integral equations of the first kind with hypergeometric functions in the kernels
p. 68-71
Interpolation properties of a~two-parameter scale of $L_p$-spaces with respect to a~state on a~semifinite von Neumann algebra
p. 71-73
Representations, spectral topology and solvability of algebras of pseudodifferential operators in a~half-space
p. 73-75
The WKB method and a~problem of the turning point for linear equations with nonsmooth dependence on a~small parameter
p. 76-78
A~difference scheme for a~problem on the equilibrium of an elastic body of revolution
p. 78-81

Sommaire du Fascicule no. 3

Numerical solution of a~singular integral equation of the first kind with a~multiple integral with Hilbert kernels
p. 3-8
A general inverse theorem for the approximation of functions by operators of continuation into a~canonical domain
p. 8-16
Locally selfadjoint extensions of nonlinear operators, and Lagrangian manifolds.~II
p. 16-25
Ensembles of $p$-ary sequences of bent functions
p. 26-32
Synthesis of a~terminal control in the case of a~linear infinite-dimensional system with constant delay in the control
p. 32-36
Convergence of a~semimixed finite element method for fundamental boundary value problems of the theory of shallow shells in weighted Sobolev spaces
p. 36-43
Approximation of analytic functions of two complex variables by polynomials in a~principal star domain
p. 44-50
An anti-invariant submanifold with a~parallel image of a~tangent bundle in a K\"ahler space
p. 50-55
Solution of a~boundary value problem for a~system of four linear ordinary differential equations with holomorphic coefficien
p. 55-59
Asymptotic representations of some classes of special functions that depend on two variables
p. 60-63
The upper semilattice of $m$-degrees that are contained in complete Turing degree
p. 63-66
Non-tree-like coverings in discrete optimization
p. 66-69
Fractional integrals with a~limit index
p. 69-72
A condition for the absolute integrability of Fourier integrals
p. 72-75
Invariant measures in commutative topological semigroups
p. 75-78
A function that describes the boundaries of the change of dimension of operator kernels of Noether families
Uniform approximation of continuous functions on nonintersecting segments
p. 78-80
On a~uniqueness theorem
p. 80-82
A generalization of the Bochner--Ono formula
p. 82-84

Sommaire du Fascicule no. 4

Expansions for Bessel exponential-integral functions and related functions
p. 3-12
The law of large numbers for linear autoregression processes
p. 12-21
Integral representation of monotone slowly changing functions
p. 21-27
A method of summation of Gauss--Weierstrass type of multiple Fourier series in spaces of generalized functions
p. 28-34
Absolute convergence of multiple Walsh series
p. 34-36
On the structure of minimal convex bodies
p. 37-43
Closed 2-forms and embedding theorems for arbitrary symplectic manifolds
p. 43-47
On an inequality of Lorentz and Shimogaki
p. 48-52
Metric and symplectic Segreans and quasi-Segreans
p. 52-60
On the existence of generalized solutions, growing at infinity, of boundary value problems for higher-order linear parabolic equations
p. 61-69
On the sign of the Green difference function
p. 69-72
Boundary behavior of fractional integrals of holomorphic functions in the unit ball in $C^N$
p. 73-75
Modified hypersingular integrals and their application to operators of potential type with difference radial characteristic
p. 76-79
Growth of functions that are meromorphic in a~half plane
p. 79-82
Some transformations of series
p. 82-84
Widths of classes of analytic functions with bounded derivatives
p. 84-86

Sommaire du Fascicule no. 5

Petr Lavrent'evich Ul'yanov (on the occasion of his sixtieth birthday)
p. 3-6
Conditions for the boundedness of solutions and existence of limit cycles for scalar differential equations of a~certain type
p. 6-10
The trajectory branching method in simulation modeling of complex systems
p. 11-17
Some properties of extremal values of convex functionals
p. 17-25
Submersions with Ehresmann connection
p. 25-33
Complete minimal systems of a~certain type in Banach spaces
p. 33-40
A~sharp constant in a~Miranda--Agmon-type inequality for solutions of elliptic equations
p. 41-50
Segreans and quasi-Segreans and their application to the geometry of families of straight lines and planes
p. 50-56
Uniqueness of a~Chebyshev spline of best $(\alpha,\beta)$-approximation in metric $L_1$ for the class of continuous functions
p. 57-62
Factorization of measurable matrix-functions in classes $L_{p,\rho}$ with power weigh
p. 62-70
The set of all polynomials of best approximation of fixed order for a~class of continuous functions of two variables
p. 71-77
Local interpolation on a~uniform triangular grid by splines of the fourth degree of smoothness~$C^1$
p. 77-81
The Cauchy problem for equations that are parabolic in the sense of Shilov in classes of generalized periodic functions
p. 82-84
The first boundary value problem for a~second-order nonlinear parabolic equation with one space variable
p. 84-86
An order-optimal method for solving degenerate operator equations
p. 86-88

Sommaire du Fascicule no. 6

Multiple extrapolation of holomorphic functions from matrices and functions that are holomorphic in the product of half-planes
p. 3-9
The Dirichlet problem for a~third-order equation of mixed type
p. 9-14
The de la Vall\'ee-Poussin problem for a~system of singularly perturbed differential equations with unstable spectrum
p. 15-24
Compact quasigroups
p. 24-31
Topological structure of the domain of attraction of an attracting set of a~three-dimensional Morse--Smale system
p. 32-37
Approximation remainder terms for local splines of second and fourth degree
p. 37-46
Anisotropic analogue of the Whitney extension theorem
p. 46-49
``Super-one-sided'' approximation by splines of functions of several variables
p. 49-54
Continuation from the interior arc of a~curve
p. 54-58
On the abstract theory of Nikol'ski\i--Besov spaces
p. 59-68
On a~problem of multiplication of linear functionals and generalized functions
p. 69-71
Automata that are stable with respect to distortions in an input sequence of signals
p. 71-72
Approximation and regularization of problems of parametric minimization
p. 73-75
Exponential solutions of integral equations
p. 75-78
Almost integrability of a~poly-affine structure
p. 78-80
Quasipure injective torsion-free abelian groups
p. 80-83
Четвертая Саратовская зимняя школа по~теории функций и приближений
p. 84-88

Sommaire du Fascicule no. 7

Решение 6-й Международной конференции ``Основы теории вычислений'',~FCT--87, Казань,~СССР, 22--26 июня~1987~г.
p. 3-4
Декларация участников Международной конференции~FCT--87
p. 4-6
Mathematical cybernetics at Kazan' State University
p. 6-19
Stepwise bilinear algorithms and recognition of completeness in $k$-valued logics
p. 19-27
The lattice of the degrees below $0'$
p. 27-33
Structural properties of automaton transformations
p. 34-39
Complexity of the realization of cyclic Boolean matrices by gate circuits
p. 39-44
On a~method for compressing information and on the complexity of the realization of monotone symmetric functions
p. 44-52
The complexity of the search for a~deterministic subautomaton
p. 52-56
Tests for circuits with one-type constant faults in the inputs of elements
p. 57-64
A family of distribution algebras
p. 64-72
Comparison of Boolean bases
p. 72-79
Closed Post classes
p. 79-88
On the complexity of probabilistic automata with an isolated cross-section point
p. 88-89

Sommaire du Fascicule no. 8

Weighted function spaces and their applications to the investigation of boundary value problems for degenerate elliptic equations
p. 4-30
Solvability of a~class of boundary value problems for elliptic equations that are degenerate on part of the boundary
p. 31-39
Strongly degenerate elliptic differential operators of the Triebel class
p. 39-47
Spectral exterior problems for a~degenerate elliptic operator
p. 47-55
Estimates for some functionals connected with embeddings of anisotropic weighted Liouville classes
p. 56-63
On an estimate for the intermediate derivative in weighted $L_q$ norms
p. 63-69
Coercive boundary value problems for degenerate anisotropic equations
p. 69-78
Estimates for the eigenfunctions of degenerate operators
p. 79-82
Compact embeddings of spaces of functions of one variable with power weight
p. 82-85
Generalized solution of a~quasilinear elliptic equation with degeneration
p. 85-87

Sommaire du Fascicule no. 9

Summability of orthogonal series by Ces\`aro methods of negative order
p. 3-10
On the uniqueness of the solution of the problem of the determination of the coefficient of the Helmholtz equation
p. 10-14
Optimal cutting transformations of finite Markov chains
p. 14-22
Properties of the monodromy operator of a~periodic system of differential equations of neutral type with deviating argument
p. 23-29
Topological invariants of geometric singularities of solutions of Monge--Amp\'ere equations
p. 30-37
Sard's theorem on a~Banach space
p. 37-39
The domain of weak limits of Riemann integral sums of an abstract function
p. 39-46
Solution of technological problems on models
p. 46-54
A quadrature formula for integrals of rapidly oscillating and sharply changing functions
p. 55-57
Characterization of points of $p$-strong summability of trigonometric series, $p\geq 2$
p. 58-62
Asymptotics of spectral functions of an $S$-colligation
p. 62-72
Smoothness of solutions of quasilinear parabolic systems with nondifferentiable coefficients
p. 72-78
An integral equation and its discrete analogue arising in the theory of Markov processes
p. 79-81
Equations of generalized thermoelasticity of an anisotropic body taking into account the orthotropy of the relaxation time of the heat flow
p. 81-83
Some embedding theorems
p. 83-85
The Schwarz problem for functions with poles in circular multiply connected domains
p. 85-87

Sommaire du Fascicule no. 10

Valentin Konstantinovich Ivanov (on the occasion of his eightieth birthday)
p. 3-4
The groupoid of varieties of completely simple semigroups
p. 5-11
Sets with a~property of a~modulus of continuity
p. 11-15
Partially overdetermined and underdetermined elliptic problems
p. 15-23
Spaces of functions that admit description in terms of rational approximation in the norm~BMO
p. 23-30
The Dirichlet problem for convex functions
p. 30-33
A special type of second-order differential-geometric structures ($T$-connections)
p. 33-40
Residually small varieties of semigroups and groups
p. 41-49
Distributive rings with finiteness conditions
p. 50-55
A space of linear elements of associated connection
p. 55-64
Operators that preserve Bazilevich functions
p. 64-67
An equation in a~free group
p. 67-70
Some extremal problems in wing theory
p. 71-74
Generalization of the Hurwitz composition
p. 74-76
Convergence of a~double Dirichlet series in a~product of closed polygons
p. 76-79
Fourier--Chebyshev series of a~class of functions
p. 79-81
The product of two finite groups with a~maximal nilpotent intersection
p. 82-83
Homogeneous components of simple generalized contact Lie algebras
p. 83-86

Sommaire du Fascicule no. 11

Operator ergodic theorems and complementability of subspaces of Banach spaces
p. 3-11
The generalized Bol configuration
p. 11-15
On the Fischer--Smith theor
p. 16-20
An estimate for the deviation from stable limit laws for a~class of additive functions
p. 20-25
Partial cohomology of semigroups and its applications
p. 25-32
Moment space in the geometry of pairs of ruled surfaces of a~four-dimensional Euclidean space
p. 33-35
Reducible quasiperiodic systems
p. 36-42
The spectrum of an operator in a~couple of Banach spaces
p. 42-49
The rate of convergence in the law of the iterated logarithm
p. 50-53
A new method for solving variational inequalities
p. 53-61
Decidability of theories of classes of powers of semigroups
p. 62-64
A first-order piecewise-affine differential equation
p. 64-65
Application of a~theorem of Vinogradov--Bombieri type to additive problems in number theory
p. 65-66
Spectral properties of the operator of inner superposition
p. 66-69
A model-theoretic characterization of Hilbert spaces
p. 69-71
Locally finite groups with Chernikov conjugacy classes of infinite abelian subgroups
p. 71-72
Ordering of sets of probability measures
p. 72-74
Stable realization of the method of complete reduction
p. 74-77
Locally solvable groups in which all infinite subgroups are pronormal
p. 77-79
Application of an approximate variant of the Newton--Kantorovich method to the solution of a~nonlinear boundary value problem
p. 80-82
The word problem in the variety $Z{\frak N}_2{\frak A}$
p. 82-84
Fundamental solutions of some problems in elasticity theory
p. 85-88

Sommaire du Fascicule no. 12

The asymptotic behavior and a~homeomorphism of solutions of differential equations on manifol
p. 3-11
Quasilinear matrix differential equations
p. 11-17
Symbols and a~homotopy classification of families of one-dimensional singular operators with piecewise-continuous coefficients
p. 17-27
Some classes of mappings of ~$P_3$ into ~$P_2$
p. 28-35
Limit projective geometries
p. 35-39
Two generalizations of the notion of a~polyadic algebra
p. 39-49
On the connection between Cartan prolongations of depth~2 and depth~1
p. 49-50
The penalty method for variational inequalities in the case of a~cone of constraints
p. 56-59
A flow interpretation of $NP$-complete problems
p. 59-62
Classification of Riemannian $G$-structures
p. 62-63
Minimal smoothness of coefficients in the construction of approximate solutions
p. 63-67
On the fibration of a~family of projective nondegenerate null-pairs
p. 67-71
Radicals and sheaves of semigroups
p. 71-73
The lowest sequence above which Fourier coefficients of a~certain class do not exist
p. 73-76
Horizontally equidistant fibre spaces
p. 76-79
Noncompact dense embedding operators in Banach spaces
p. 79-81