Geodesic

Sommaire du Fascicule no. 1

On some theorems for the Price system
p. 3-8
Two theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra
p. 9-12
Analytic classification of generic degenerate elementary singular points of germs of holomorphic vector fields on the complex plane
p. 13-16
On conditions for the positive-definiteness of operators in a Hilbert space
p. 17-20
Estimates for the rate of convergence of the projection-difference method for hyperbolic equations
p. 21-30
On the existence of the families R2n−1m admitting a second-order projective bending
p. 31-38
On a~generalization of a~theorem of N.\,A.~Davydov
p. 39-44
The jump problem for the Helmholtz equation in a~plane-layered medium and its applications
p. 45-56
Almost contact structures of the manifold Pn0(H)
p. 57-63
Idempotent semigroups with the transitive commutativity relation
p. 64-70
On the continuity of the metric δ-projection onto a~convex set in a~special metric space
p. 71-75
Interpolation of Besov spaces. Norms defined by means of a~modulus of continuity
p. 76-78
On the Cauchy problem for a~multidimensional difference equation with constant coefficients
p. 79-80
Letter to the editors: ``On the ϵ-core of a~bounded set in a~special metric space''
p. 81-82

Sommaire du Fascicule no. 2

A~variational problem on the optimal shape of a~body with minimal radiative heating of the surface
p. 3-10
Stabilization of an observable linear control system with constant interval coefficients
p. 11-17
Necessary optimality conditions in survival problems
p. 18-22
On an optimal spline method for solving operator equations
p. 23-36
On admissible noise for linear control systems
p. 37-40
The method of unitary transformations in stability theory
p. 41-45
Stability of optimal synthesis in the time-optimality problem
p. 46-57
On the construction of correct extensions in the class of finitely additive measures
p. 58-80
On necessary and sufficient conditions for the slow convergence of methods for solving linear ill-posed problems
p. 81-84

Sommaire du Fascicule no. 3

A~differential turning point in the theory of singular perturbations.~I
p. 3-14
On the boundary values of a~Cauchy-type integral on a~nonsmooth curve
p. 15-21
Source representability and estimates for the rate of convergence of methods for the regularization of linear equations in a~Banach space.~II
p. 22-31
Casimir elements of Z-forms of modular Lie algebras
p. 32-35
Surfaces of constant curvature in a quasi-pseudo-Riemannian space of constant curvature, and the Klein--Gordon equation
p. 36-41
Operads in the category of convexors.~I
p. 42-50
A~new class of divisors of semigroups of isotone mappings of finite chains
p. 51-59
Piecewise-uniform grids, optimal with respect to the order of convergence, for singularly perturbed convection-diffusion equations
p. 60-72
On direct methods for solving integral equations with logarithmically weakened Cauchy kernels on open curves
p. 73-77
On an integral equation that describes orientation phase transitions in the Parsons model for a~system of axisymmetric particles
p. 78-80

Sommaire du Fascicule no. 4

Local structure of a~surface of inner conformal radius for a~plane domain
p. 3-12
Characterization of the local extremum principle for an equation of hyperbolic type and its application
p. 13-17
On the well-posedness of a~boundary value problem on a~line for three analytic functions
p. 18-23
On an orthonormal system
p. 24-28
A~conjugation problem for harmonic functions in three-dimensional domains with nonsmooth boundaries
p. 29-35
On a~numerical solution of equations of extremals for a~variational problem with constraints
p. 36-44
Boundary behavior of an integral of logarithmic residue type
p. 45-50
On the coincidence of two linearly invariant families of functions
p. 51-58
An analogue of the Frankl\cprime problem for an equation of the second kind
p. 59-63
Obtaining data classes for the well-posedness of an inverse boundary value problem by reparametrization
p. 64-71
On some solutions of the problem of the decay of a~discontinuity in the dynamics of a~non-Newtonian fluid
p. 71-79
Abstracts of papers deposited at VINITI
p. 80-81

Sommaire du Fascicule no. 5

A~differential turning point in the theory of singular perturbations.~II
p. 3-13
Two remarks on the identities of lattices of ω-local and ω-compositional formations of finite groups
p. 14-22
On Cauchy problems for two partial differential equations
p. 23-30
Some classes of singular integral equations that are solvable in closed form
p. 31-35
Asymptotic integration of quasilinear parabolic equations with coefficients that rapidly oscillate with respect to time
p. 36-43
On the elementary equivalence of derived structures of free lattices
p. 44-47
A~generalized recurrent symmetric tensor field
p. 48-51
Riggings and affine connections on distributions of a~conformal space
p. 52-60
Operads in the category of convexors.~II
p. 61-69
Geometry of homogeneous Φ-spaces of order~5
p. 70-81

Sommaire du Fascicule no. 6

On the uniqueness of the positive solution of a~nonlinear two-point boundary value problem
p. 3-6
On the basis property of a~family of exponential solutions of differential-difference equations
p. 7-13
On the well-posedness of an extension of problems of the control of almost periodic motions
p. 14-25
Hereditary properties of nonautonomous dynamical systems and their application in competition models
p. 26-36
Investigation of the solutions of the equation for the drifts of a~resonator rigid-body gyroscope depending on the parameters
p. 37-41
On an estimate for the Cauchy matrix of some systems with aftereffect
p. 42-44
The eigenvalue problem in the whole space for equations with discontinuous coefficients
p. 45-49
On the equivalence of local admissibility and complete controllability of linear systems
p. 50-53
An elliptic boundary value problem with a~superposition operator in the boundary condition.~II
p. 54-62
Nonzero periodic solutions of a~nonautonomous system of ordinary differential equations
p. 63-68
Linear algebro-differential systems with variable deviation of the argument
p. 69-77
Asymptotic behavior of solutions of Volterra--Hammerstein equations
p. 78-81

Sommaire du Fascicule no. 7

An analogue of Picard's theorem for a~convolution equation of the first kind with a~smooth kernel
p. 3-7
On the reconstruction of the potential in the inverse Robin problem
p. 8-13
An algorithm for constructing a~quasi-regular asymptotic representation for the solution of singularly perturbed linear multi-point boundary value problems with fast and slow variables
p. 14-21
Central elements and invariants in modular Lie algebras
p. 22-26
Equivalence of paths with respect to the action of a~symplectic group
p. 27-38
Orthogonal subspaces of rearrangement-invariant spaces
p. 39-49
Bifurcation of bounded solutions of a~system of ordinary differential equations
p. 50-53
Controllability of Sobolev-type linear equations with relatively p-radial operators
p. 54-57
The classes Lp,rα of Lizorkin--Samko type associated with complex powers of the telegraph operator
p. 58-64
On algebro-differential systems with deviating argument
p. 65-80
The structure of the Pareto set of some vector scheduling problems
p. 81-83

Sommaire du Fascicule no. 8

On an application of the projection method to paired integral operators with homogeneous kernels
p. 3-7
A~conjugation problem for the nonhomogeneous Cauchy--Riemann equation on a~Riemann surface
p. 8-12
Representing systems of periodic meromorphic functions
p. 13-22
On projective modules with a~semilocal endomorphism ring
p. 23-29
Ellipsoidal estimation of solutions of differential equations using matrix comparison systems
p. 30-42
Construction of infinite-dimensional relative homotopy groups in a~Hilbert space
p. 43-52
Representation of functions by the difference of Steiner potentials
p. 53-56
Inequalities of Bernstein and Jackson--Nikol'skii types and their applications
p. 57-64
An analogue of the Paley--Wiener theorem
p. 65-71
Affine connections on the distribution of hyperplane elements in~An+1
p. 72-74
Construction of error estimates for the linearization of finite-difference equations
p. 75-78
On duality in spaces of polyharmonic functions
p. 79-81

Sommaire du Fascicule no. 9

Fractal interpolation methods of Barnsley type
p. 3-14
Asymptotics of the logarithm of the maximal term of a~modified Dirichlet series
p. 15-24
On the proportionality of Lie words in classical Lie algebras
p. 25-36
Solution of integral equations by the subdomain method
p. 37-49
On the nonexistence of solutions of elliptic differential inequalities in a~neighborhood of a~conic point of the boundary
p. 50-59
Solution of the first boundary value problem for a~B-parabolic equation by the potential method
p. 60-63
Solution of fundamental boundary value problems for a~B-elliptic equation by the potential method
p. 64-66
Projection methods for solving the singular integral Theodorsen equation
p. 67-70
On the weak sequential completeness of quotient spaces of the space of integrable operators
p. 71-74
On some singular problems of diffraction with a~common boundary
p. 75-78

Sommaire du Fascicule no. 10

Some remarks on the Bohr radius for power series
p. 3-10
Superposition operators in Sobolev spaces
p. 11-33
Solution of operator and integral equations by the Bogolyubov--Krylov method
p. 34-47
The Gakhov equation for an exterior mixed inverse boundary value problem with respect to the parameter~x
p. 48-55
Representation of univalent functions in the form of infinite compositions
p. 56-63
On upper and lower bounds for logarithmic densities in the theory of meromorphic functions
p. 64-70
Approximations by wedge elements taking into account the values of the approximating elements
p. 71-84
Information on the scientific conference ``Geometric Theory of Functions and Boundary Problems''

Sommaire du Fascicule no. 11

The contribution of Bolyai, Gauss, and Lobachevskii to the discovery of non-Euclidean geometry (on the~200th anniversary of the birth of J\'anos Bolyai)
p. 3-7
Spinors on Riemannian manifolds
p. 8-26
The hat theorem and problems of the classification of structures on Riemannian manifolds
p. 27-31
The fractal dimension of the intersection of standard Cantor sets
p. 32-35
Some algorithmic problems of associative algebras
p. 36-44
Symmetrization of functions from Sobolev spaces
p. 45-51
Some topological properties of manifolds over a~local algebra that admit holomorphic embeddings
p. 52-54
Fundamental first-order differential operators on exterior and symmetric forms
p. 55-60
Intrinsic geometry of a~normed conformal space
p. 61-70
On the index and homotopic classification of families of singular operators with a~dihedral shift group and PC-coefficients
p. 71-74
The families V2n−12, U2n−1m and their projective bending
p. 75-78
Lp→Lq-estimates for some potential-type operators with oscillating symbols and their application
p. 79-82
Asymptotic estimates for linear functionals for bounded functions that do not take zero value
p. 83-85

Sommaire du Fascicule no. 12

Control of the minimization process in the parametrized method of centers
p. 3-10
Linear Lyapunov--Krotov functions and sufficient conditions for optimality in the form of the maximum principle
p. 11-22
Solution of the problem of the optimal control of initial-boundary conditions of a~hyperbolic system based on exact increment formulas
p. 23-29
On the optimization of dynamical systems that are quadratic with respect to the state
p. 30-38
On a~procedure for improving control in parametric synthesis
p. 39-43
Stabilization of systems with delays by optimal control methods
p. 44-54
Optimization of direct methods for solving periodic boundary value problems
p. 55-65
Modernization of gradient-type methods in optimal control problems
p. 66-78
On the existence and uniqueness of the solution of the equilibrium programming problem
p. 79-83
On types of (3n−2)-noninteger vertices of the polytope of a~three-index axial choice problem
p. 84-90