Geodesic

Sommaire du Fascicule no. 1

The linearity of systems of two first order partial differential equations
p. 3-14
The elementary theories of symmetric groups and semigroups.
p. 15-20
Normed lattices without countable Korovkin systems
p. 21-30
On the theory of selfsimilar nonstationary gas flows
p. 31-38
The computation and certain aspects of the application of Green's matrices in the theory of thin shells
p. 39-46
Certain conditions for the instability of the solutions of the equation $u^n+p(x)u=0$
p. 47-51
Optimal controls in certain $N$-person differential games
p. 52-58
The continuity of the solutions of a~system of second order quasilinear elliptic equations with bounded non-linearities
p. 59-70
The reduction of the Monge--Amp\`ere equation to a~quasilinear equation
p. 71-77
Convergence of a~certain iteration process for second order quasilinear elliptic equations
p. 78-81
The uniqueness of the projection with norm equal to~1 in a~Banach space
p. 82-89
Hilbertian symmetric spaces
p. 90-95
Some features of the one-dimensional laminar flow of a compressible viscous fluid in a pipe
p. 96-102
A two-sided Tauberian theorem for ratios
p. 103-112
The Riemann problem for a~countable set of contours with two limit points.~II
p. 113-125

Sommaire du Fascicule no. 2

Bisemicategories of pseudoarc partial automorphisms of interior ordered sets
p. 3-11
The principle of limiting amplitude
p. 12-23
On the question of the stability of motion in the critical case with an even number of zero roots
p. 24-28
Direct methods of solution of the wing theory equation
p. 29-44
Certain conditions for the univalence of $n$-symmetric functions
p. 45-50
The inverse problem of blast theory
p. 51-57
The stability of Becker's solution of the Navier--Stokes equations for a~weak shock wave
p. 58-63
Minimal imbeddings of semigroups into categorial semigroups
p. 64-75
On the Tricomi problem for the Lavrent'ev--Bicadze equation
p. 76-81
Foliations of codimension~1 with trivial holonomy group
p. 82-89
Certain inequalities for polynomials with given zeros
p. 90-96
Coexistence of cycles of a~continuous transformation of a~circle
p. 97-106
The separatrices and limit cycles of a~certain quadratic differential equation
p. 107-114
Characteristic bisingular equations in spaces of summable functions
p. 115-120
The principal frequency of an inhomogeneous annular membrane
p. 121-123
The representations of the Witt algebra
p. 124-129

Sommaire du Fascicule no. 3

The holomorphs of torsion-free abelian groups
p. 3-11
Entropy of a~piecewise-power skew product
p. 12-17
Direct methods of solution of certain operator equations.~IV
p. 18-31
A~singular case of the Wiener--Hopf system of equations
p. 32-42
Multiple trigonometric interpolation
p. 43-51
Differential equations with lag with a~power nonlinearity
p. 52-55
Dense imbeddings of certain regular semigroups
p. 56-61
A~criterion for the asymptotic stability in probability of the solutions of certain systems of linear differential equations with random coefficients
p. 62-69
The methods of T.~Kato and M.\,G.~Slobodjanski\u\i.~I
p. 70-73
The convergence of interpolation polynomials of Newton type
p. 74-77
Static Riemannian spaces in the large
p. 78-88
A~certain modification of the method of intermediate problems
p. 89-92
Certain properties of Kotel'nikov series
p. 93-103
The reduction of an improper double Lebesgue integral to an iterated integral
p. 104-110
Isolating the roots of certain types of algebraic and transcendental equations by the method of root-determining function
p. 111-117
Letter to the editors

Sommaire du Fascicule no. 4

Univalence criteria for $n$-symmetric functions
p. 3-13
Equal-path rotatable three-webs in Riemannian geometry
p. 14-16
The fundamental inverse boundary value problem for domains that are biholomorphically equivalent to the bidisc
p. 17-26
Pseudoconvex functionals, and their extremal properties
p. 27-31
A~certain class of extremal problems for a~circular disc that is subjected to the action of concentrated forces
p. 32-38
A~certain case of filtration under a~dam in an inhomegeneous soil
p. 39-44
Localized sequences in metric spaces
p. 45-54
The solution of an equation of the first kind with a~closed multivalued operator
p. 55-59
An analogue of the Blaschke function for $n\geq 2$ variables
p. 60-68
On the computation of the derivatives of singular integrals with Cauchy kernel
p. 69-77
The method of finite difference equations in the solution of sampled-data control problems
p. 78-83
Projectively euclidean spaces of linear elements that are the analogue of symmetric spaces
p. 84-87
The singular integral equation that is connected with iterations of a~certain class of algebraic functions
p. 88-96
On the question of the invertibility of a~singularly perturbed differential operator with periodic coefficients in the space of almost periodic functions
p. 97-103
Simple transversal bifibrations
p. 104-113
The behavior of the solutions of nonlinear filtration problems near a~curve of degeneracy of the domain of the hodograph of the velocity
p. 114-119
Weyl spaces of two dimensions that admit an isotropic linear-fractional integral of the geodesics
p. 120-128

Sommaire du Fascicule no. 5

Aleksandr Petrovich Norden (on the occasion of his seventieth birthday)
p. 3-11
The four-webs and the local differentiable ternary quasigroup that are determined by a~quadruple of surfaces of codimension two
p. 12-24
$\nabla$-conjugate nets in a~space with affine connection
p. 25-30
A~topological method for the reduction of automata
p. 31-39
Algebraic questions of differential algebras
p. 40-46
Weyl affine connections, and connections in line bundles with homogeneous complex fibres
p. 47-51
On the theory of transonic flows of a~viscous gas
p. 52-61
Real realizations of tensor operations in spaces over algebras
p. 62-65
Solution of operator equations by the method of improved iterations
p. 66-80
On the geometry of the characteristic cones of a mapping of $P_m$ into $P_n$ when $m>n$
p. 81-86
Reductive Cartan connections, and the generalized affine-normalized Norden structures
p. 87-96
The estimation of the stability of quasisolutions on noncompact sets
p. 97-103
The problem of the minimization of a~nonconvex quadratic function in an $n$-dimensional cube, and algorithms for its solution
p. 104-108
Cartesian composition space and complex analytic space structures in the tangent bundle over an equiprojective space
p. 109-116
The Riemannian spaces $\overset\ast D{}_n^s$. Structure of the curvature of spaces of type~$A$
p. 117-127
Difference schemes for quasilinear elliptic equations with discontinuous coefficients
p. 128-137
The best estimates of the convergence of a~certain iteration process
p. 138-143
The invariant normalization of a~certain class of surfaces of a~projective space
p. 144-147
Submanifolds with parallel normal vector field
p. 148-157
The approximate solution of singular integral equations
p. 158-162
Multidimensional surfaces in $H_P$-structure bundles
p. 163-168
Fractional linear transformations of Jordan algebras
p. 169-184
A~certain method for the simultaneous approximate computation of all positive roots of an algebraic equation
p. 185-186
Minimizability of a functional on the topological product of dual spaces
p. 188-193
The problem of constructing a~doubly periodic hydrodynamic lattice from a~velocity distribution
p. 194-197
Certain piecewise holomorphic functions with a~countable set of singular contours
p. 198-204
On the theory of periodic semigroups
p. 205-215
Normalizations in a~projective space with a~given fibering
p. 216-221

Sommaire du Fascicule no. 6

Extension of a~vector measure on a~Boolean algebra
p. 3-7
The closure in $L_p$ of the operator of the Dirichlet problem in a~domain with conical points
p. 8-19
Approximation of functions by linear means of certain polynomials of best uniform approximation
p. 20-30
Semigeodesic converging nets
p. 31-34
Difference approximations of multidimensional variational problems
p. 35-46
$K$-operatives
p. 47-55
The boundedness of trigonometric integrals and polynomials of several variables in the metric~$L$
p. 56-64
Absolute summability of series by matrix methods.~I
p. 65-73
The stability of multipoint boundary value problems for difference equations
p. 74-79
Three-parameter families of two-planes in projective four-space
p. 80-90
On the question of the extension of linear functionals
p. 91-98

Sommaire du Fascicule no. 7

Spaces of Gevrey type
p. 3-11
Noether theory of a~certain class of integral operators of potential type
p. 12-20
$H$-closed extensions
p. 21-26
A~description of the set of spectral functions of a~regular string supporting a~concentrated mass at an end that is free of boundary conditions
p. 27-33
Nets with a~fixed harmonic plane in three-dimensional projective space
p. 34-41
The correctness and convergence in the strong norm of difference schemes for quasilinear parabolic equations.~I
p. 42-52
The projective differential geometry of two-dimensional nets.~I
p. 53-59
The order and type of entire functions that are represented by Dirichlet series
p. 60-65
Quasi-Liouville Weyl spaces
p. 66-71
Absolute summability of series by matrix methods.~II
p. 72-82
Uniqueness spaces of Cauchy and Goursat problems
p. 83-90
The approximation of functions that satisfy a~Lipschitz condition by sums of Fejer type
p. 91-94

Sommaire du Fascicule no. 8

Classes of finite groups $\Omega_k$ and $\bar \Omega_k$ for certain particular values of the number~$k$
p. 3-10
The analytic conditions for ordinary and linear convexity of domains with smooth boundaries
p. 11-15
A~discrete analogue of Luk\'acs's theorem, and its application
p. 16-21
Quadrature processes in the class of bounded and integrable functions
p. 22-25
Difference approximations of multidimensional variational problems with constraints on the derivatives
p. 26-37
Completely decomposable groups
p. 38-46
The correctness and convergence in the strong norm of difference schemes for quasilinear parabolic equations.~II
p. 47-53
The projective differential geometry of two-dimensional nets.~II
p. 54-57
N.~Dunford's theorem
p. 58-59
Solution of a~certain integral equation of convolution type on a~finite segment
p. 60-64
Construction of the semigroup of endomorphisms of certain commutative regular semigroups
p. 65-71
О решениях дифференциальных уравнений смешанного типа с~запаздыванием
p. 72-76
A~certain interpolation problem for holomorphic functions of two complex variables
p. 77-81
A certain interpolation process of E.~Egerv\'ary and P.~Tur\'an
p. 82-88
Semi-invariance of linear differential equations
p. 89-94
In memory of N.\,G.~Chebotarev (15.VI.1894--2.VII.1947)
p. 95-96

Sommaire du Fascicule no. 9

Nilpotent groups with a~\v{C}ernikov maximal Abelian normal subgroup
p. 3-12
The asymptotic behavior of the solutions of a~second order matrix-valued integrodifferential equation
p. 13-17
Limit cycles of a~system of Volterra equations
p. 18-26
A~characterization of projection subsets in semigroups of transformations
p. 27-40
Semiheaps of binary relations
p. 41-51
The order of the exponential growth of the solutions of certain first order linear difference equations
p. 52-55
Conditions for the convergence of Fourier series in generalized spherical functions
p. 56-64
The Fourier--Haar coefficients of continuous functions
p. 65-71
On the Mazur--Orlicz theorem
p. 72-74
The stability of the method of the residual in the solution of ill-posed problems
p. 75-80
Equiaffine spaces of linear elements
p. 81-85
A~certain class of special functions that are connected with the representations of the group $SO(n)$
p. 86-89
The singular geodesic fields of a~two-dimension space with affine connection
p. 90-99

Sommaire du Fascicule no. 10

Classes of functions associated with a~system of functions $\omega_j(x)\in\Omega$, $j=1,\dots,m$, and their structural representation
p. 3-10
Behavior of solutions in the large of certain nonlinear systems of differential equations
p. 11-18
Stability of Petrovski\u\i\ well-posed differential operators with one space variable
p. 19-28
$Q$-groups and Fuchs~5 groups
p. 29-36
The Cauchy problem for systems of linear differential equations of Sobolev--Gal'pern type
p. 37-45
Necessary optimality conditions for controlled stationary transport processes
p. 46-56
Intrinsic geometry of a~hypersurface of a~space with degenerate metric
p. 57-60
The imbedding of the $L_p^{(k)}$ classes of functions
p. 61-74
Weyl spaces of linear elements with affine connections
p. 75-83
Solution of a~certain problem of Lions on the existence of an optimal control in the coefficients of the derivatives
p. 84-87
The asymptotic behavior of the solutions of the system $Y''-Q(x)Y'-P(x)Y=0$.~IV
p. 88-103

Sommaire du Fascicule no. 11

To authors of the journal `` Matematika''
A quadrature-iteration method for solving nonlinear singular integral equations
p. 4-15
Varieties of commutative idempotent associatives
p. 16-23
A~certain expansion of a~polyharmonic function
p. 24-30
The absolute convergence of series in systems of Haar type
p. 31-43
Riemannian metrics in the tangent bundle over a~Riemannian manifold.~II
p. 44-50
The isotropic normal congruences that are connected with curves of $n$-dimensional Lorentz space $L_n(n\geq 4)$
p. 51-54
On the existence of continuous solutions of quasilinear elliptic systems
p. 55-60
Topologization of the generalized group of open partial homeomorphisms of a~locally compact Hausdorff space
p. 61-68
An application of the method of differential relations to the one-dimensional equations of gas dynamics
p. 69-74
The approximation of continuous functions by algebraic polynomials
p. 75-87
A~certain class of indecomposable $(2n+1)$-webs with minimal degree of nonholonomy
p. 88-92
Maximal inverse subsemigroups of the semigroup of linear transformations
p. 93-100

Sommaire du Fascicule no. 12

The method of mechanical quadratures for singular integral equations
p. 3-14
A~certain algebraic method of computing the index
p. 15-18
A~justification of the averaging method for a~certain nonlinear boundary value problem
p. 19-28
Theory of the nongeodesic vector field in affinely connected spaces of two dimensions
p. 29-34
The dependence of the hypersurfaces of associated types for systems of associated orders on the choice of the associated orders
p. 35-46
The solution of the equation $f(z)=\alpha f(\xi z)$ in the class of starlike functions
p. 47-50
Projective classification of ruled surfaces, and focal transforms of a~surface
p. 51-53
Certain boundary properties of biharmonic functions
p. 54-57
Stability of difference schemes for first order systems that are well posed in the sense of {Petrovski\u\i}
p. 58-60
The Carleman boundary value problem with discontinuous shift for~$n$ unknown functions on a~bordered Riemann surface
p. 61-63
Wiener's theorem on fields of boundedness
p. 64-66
Normal bases of Banach spaces
p. 67-69
Riemann sums for functions that are expanded in trigonometric series
p. 70-72
Generalized polynomials of least deviation from zero whose coefficients satisfy a~given linear relation
p. 73-76
The geometry of cylindrical families of planes in a~space with a~degenerate metric
p. 77-81