Geodesic

Sommaire du Fascicule no. 1

Spectral analysis with respect to finite-dimensional perturbations of spectral operators
p. 3-11
Periodic solutions of perturbed differential equations
p. 11-14
An estimate for the norm of the resolvent of a~quasi-Hermitian operator
p. 14-19
Noethericity and index of some two-dimensional singular integral operators
p. 19-28
Local approximations of approximately differentiable functions
p. 28-32
Letter to the editors: ``$L^2$-construction of distributions and a martingale problem''
Application of asymptotic equilibrium to the solution of a~two-point problem with a~parameter on the half-axis
p. 33-36
A~criterion for the basis property in $F$-spaces. Applications to interpolation problems
p. 36-44
Reduction in the number of computations in the complete reduction method
p. 44-47
Defining relations for subgroups of the general linear group that contain the group of diagonal matrices
p. 47-53
A~hyperbolic sine-Gordon equation
p. 54-63
Stabilization of the solution of the third mixed problem for second-order quasilinear parabolic equations in a~noncylindrical domain
p. 63-73
Spectral expansion with respect to the trace in a~space with a~basis norm
p. 73-80
Rings with poorly injective factor rings
p. 80-88

Sommaire du Fascicule no. 2

Characterization of minimal systems of exponents of representative systems of generalized exponentials
p. 3-12
Characteristic functions of operators of the class $C(\alpha)$
p. 13-21
Equivalence of some conditions for entire functions of order zero
p. 22-25
On Loeb measures
p. 25-33
Cooperative multistage games with side payments
p. 33-42
Do convex supports of an analytic functional always have a common point?
p. 42-46
Convergence of the collocation method and the method of mechanical quadratures for systems of singular integral equations on arbitrary closed smooth contours
p. 46-55
Stability with respect to some of the variables under constantly acting perturbations
p. 55-60
Transformation of a~singular integral equation with Carleman linear-fractional shift to a~characteristic equation with matrix coefficients
p. 60-65
Direct sums of strongly homogeneous abelian groups
p. 65-68
Mixed variational formulations of problems in the theory of shells
p. 69-78
Subsystems of the Faber--Schauder system in function space
p. 78-85
A~class of simple modular Lie algebras of dimension $\leq p^3$
p. 85-89
Dual spaces of conditional K\"othe spaces of double numerical sequences
p. 90-91
Bounded solutions of systems of ordinary singularly perturbed differential equations
p. 91-94
Об условиях глобального экстремума в одной невыпуклой задаче минимизации
p. 94-96

Sommaire du Fascicule no. 3

On functions that are weakly $p$-valent in the mean
p. 3-5
Finite groups in which the lattice of centralizers is a~sublattice of the lattice of subgroups
p. 5-14
On an interpretation of a theorem of Luk\'acs
p. 14-17
On the best approximation of points by planes
p. 17-20
The implicit mapping theorem for a~class of topological modules
p. 20-25
On a~condition for the linear regularity of second-order random fields
p. 25-29
Infinite-dimensional analogues, for a~Hilbert space, of some classical theorems of Borsuk
p. 29-35
Summation of Fourier expansions in systems of polynomial form
p. 35-47
Unique solvability of a~class of hybrid systems
p. 47-48
The geometry of the solutions of a~third-order partial differential equation
p. 49-53
Morphisms of $G$-spaces that determine invariant framings and connections
p. 54-61
Solvability of a~periodic problem for a~nonlinear Hamiltonian system
p. 61-70
Simultaneous approximation of numbers connected with elliptic functions
p. 70-73
Critical theories of free nilpotent rings of certain types
p. 74-76
Quasi-orders on some inverse semigroups
p. 76-78
A~boundary value problem of N.\,P.~Vekua with a~piecewise-smooth shift
p. 78-81
Weighted spaces of analytic functions and systems of differential equations
p. 81-83
Residues of the generalized function $|\det x|^\lambda\operatorname{sgn}^\nu(\det x)$
p. 83-86
Solution of operator equations by the Vietoris iteration method
p. 86-88

Sommaire du Fascicule no. 4

Embedding of lattice cones in vector lattices
p. 3-9
Smoothness of solutions of linear differential equations in Banach spaces
p. 9-16
An approach to the correction of incompatible variational inequalities
p. 16-24
Existence and uniqueness theorems for a~generalized solution of a~class of nonstationary problems of coupled electroelasticity
p. 24-32
A~criterion for the complete continuity of the Uryson operator
p. 32-43
Solution of a~differential-$Q$-difference equation on the semi-axis
p. 44-47
On the $\varepsilon$-modeling of the behavior of probabilistic automata
p. 48-57
A~multicomponent generalized finite integral transformation and its application to nonstationary problems in mechanics
p. 57-63
Local formations with a~bounded $p$-decomposable defect
p. 63-69
Geodesic mapping of Ricci 4-symmetric Riemannian spaces
p. 69-70
The structure of a~class of asymptotic distributions of V.\,K.~Ivanov
p. 70-73
Asymptotics of the Laplace convolution of two Bessel functions
p. 74-77
On a~combination of sufficient conditions for the univalence of analytic functions that generalizes the Becker condition
p. 78-79
Some conditions for the existence Nash-equilibrium positional strategies in noncooperative linear-quadratic $n$-person games
p. 80-82
Parametrizable subsets of Banach spaces
p. 83-84
Some generalized symmetric spaces of zero Euler characteristic
p. 84-88

Sommaire du Fascicule no. 5

Lyapunov functions and the asymptotic behavior of solutions of perturbed differential equations
p. 3-9
Best uniform approximation of periodic functions by splines
p. 9-16
Central elements in the algebra $U(K_m)$.
p. 16-22
Generalized-actual systems of matrices
p. 22-25
On the discreteness of the spectrum of singular integral operators in elasticity theory
p. 26-29
On the equimeasurability of maximal functions
p. 29-31
On $K$-locally uniformly convex spaces
p. 32-34
The structure of measures on the logic of skew projectors
p. 34-40
Optimal representation of functions by the sum of two compositions
p. 41-50
On an upper bound for solutions of some diagonal equations in prime numbers
p. 51-55
Preference spaces
p. 55-61
Localization with respect to maximal ideals, and distributive rings
p. 61-66
On a class of CR-submanifolds in a K\"ahlerian manifold
p. 66-71
On a~special projective-Euclidean connection of a~biaxial space
p. 71-74
Necessary and sufficient conditions for the summability of Jacobi series
p. 75-78
A~diagram of the most important subclasses of the class of antagonistic games
p. 78-80

Sommaire du Fascicule no. 6

On $1/n$-hereditary sets
p. 3-11
Invariant conditions generated by global pairs
p. 12-17
On the solution of the Dirichlet problem for some multidimensional domains by the method of reproducing kernels
p. 17-20
On the number of real roots of systems of equations
p. 20-23
Integral representations of holomorphic functions of one or several matrices
p. 24-28
Some corollaries of a~hypothesis on the binary structure of space
p. 28-35
Fourth-order alternators of a~three-web associated with an analytic loop
p. 36-38
The method of monotone operators for equations with discontinuous nonlinearities
p. 38-45
A~noncompact version of the Choquet--Bishop--de Leeuw theorem
p. 45-48
Extension and restriction theorems in classes of periodic generalized functions
p. 49-53
On the asymptotic equivalence of relaxations of extremal problems
p. 53-60
The electrostatic Green function for the Tricomi equation and homeomorphic solutions of a~degenerate elliptic system associated with it
p. 60-66
Some relations for exponential-integral Bessel functions of the first kind
p. 67-69
Matrix singular integral operators with infinite index.~II
p. 69-72
Application of the method of similar operators in the study of the spectral properties of differential operators of Sturm--Liouville type
p. 72-75
On the complexes $K_0$ of 2-planes in $P_n$ with three straight lines $L_1^\beta$
p. 75-76
Description of the space of anisotropic Riesz potentials in terms of Strichartz-type constructions
p. 76-79

Sommaire du Fascicule no. 7

Relaxation of constraints in multi-objective problems
p. 3-8
Independent random variables in symmetric spaces
p. 8-14
Best approximation by generalized polynomials in the space of analytic functions of two complex variables
p. 14-25
Asymptotic behavior of solutions with respect to a~small parameter, and control systems
p. 25-33
Stability of nonhomogeneous Markov chains with continuous time
p. 33-39
Sign-constant polynomials that deviate least from zero in~$C(E_m)$
p. 40-42
Logarithmic coefficients of univalent functions
p. 42-49
Innvertibility of abstract Toeplitz operators in countably normed spaces
p. 49-57
Algebraic groups and exponential action
p. 58-61
Analogues of classical Lie algebras over a~field of characteristic~3
p. 61-65
The structure of homogeneous spaces with a~finite invariant metric
p. 66-68
Stability of stationary systems of linear differential equations of neutral type with delay that depends linearly on time
p. 69-71
Convergence in~$L_p(R^n)$ of hypersingular integrals with nonstandard truncation
p. 71-74
Controllable and minimal realizations of holomorphic functions in a~space with an indefinite metric
p. 74-77
On the separability of $L^p$~spaces in the case of measures on locally convex spaces
Focally Euclidean and focally Riemannian spaces
p. 78-80
Constructive approximation of nonlinear operators
p. 81-84
Lower bounds for subharmonic functions of finite order
p. 85-87

Sommaire du Fascicule no. 8

Spectral properties of operators with kernels that depend on the difference and sum of arguments
p. 3-8
The smoothness of generalized solutions of some equations of mixed type with discontinuous coefficients
p. 8-13
Noncommutative Krull rings
p. 13-19
On the conformal geometry of nets in an $n$-dimensional Weyl space
p. 19-26
On the smoothness of universal Marcinkiewicz functions and universal trigonometric series
p. 26-31
Fundamental solutions of the statics of anisotropic elastic media in the case of two independent variables
p. 32-34
On the rate of rational approximation of functions on sets of the complex plane
p. 35-41
On the solution of the Cauchy problem for a~class of first-order stochastic partial differential equations
p. 42-44
Decomposition into a~product of submanifolds with the parallel fundamental form $\alpha_s$ ($s\ge3$)
p. 44-54
Ordering of systems of domains and condensers in $n$-dimensional space
p. 54-59
Mechanical systems with program constraints
p. 59-65
The discrete Mellin transform
p. 65-68
A~differential game with simple motion
p. 69-72
Integral convolutions for $H$-transformations
p. 72-79
Local approximation of plane curves by splines of the first degree in the Hausdorff metric
p. 80-81

Sommaire du Fascicule no. 9

Lie algebras of projective motions of the spaces~$V(K)$ of Lorentz signature
p. 3-15
On the asymptotic behavior of solutions of some systems of functional-differential equations of delay type
p. 15-20
On the theory of the normalization of the Riemann problem
p. 20-28
Semisymmetric submanifolds and their decompositions into a~product
p. 29-38
A~variant of the maximum principle for optimal processes with vector criteria
p. 38-43
The reproducing kernel method for constructing cubature formulas for an invariant integral
p. 44-46
Conjugate harmonic functions of the Hardy class
p. 47-53
Convergence and uniqueness of representations defined by a~formula for the inversion of a~multicomponent generalized finite integral transformation
p. 53-56
Embedding theorems for weighted Sobolev spaces
p. 56-60
Pseudofunctions of rank on a~regular ring with involution
p. 60-67
On the geometry of a~normalized surface
p. 67-68
Spaces connected with sequences of independent random elements
p. 68-74
A~parallel zonal partitioning method
p. 74-80
Fractional powers of a~class of operators
p. 81-83
The accuracy of a~discrete spectral problem with a~mixed derivative
p. 83-85
On the construction of the Cauchy integral for a~class of nonanalytic functions of a~complex variable
p. 86-88

Sommaire du Fascicule no. 10

Vladimir Vladimirovich Morozov (1910--1975)
p. 3-4
V.\,V.~Morozov's regularity theorem
p. 5-10
On a~group of automorphisms of an orthogonal decomposition of a~Lie algebra of type~$A_{2^m-1}$
p. 11-14
On the specialness of Lie algebras with identities of the $\mathrm{sl}_2$~algebra
p. 15-18
Contractions and degenerations of finite-dimensional algebras
p. 19-27
Extreme rays of a~cone of convex forms of the sixth degree in two variables
p. 28-35
Identities of finite-dimensional nilpotent Lie algebras
p. 36-39
An invariant of the algebra~$W_n$
p. 40-42
An embedding theorem for transitive filtered Lie algebras of characteristic~$p$
p. 43-45
Free colored Lie superrings
p. 46-49
Maximal orders in Lie algebras over the field~$k((t))$
p. 50-55
The Green ring of a~simple three-dimensional Lie $p$-algebra
p. 56-67
A~criterion for the projectivity of finitely generated flat modules
p. 68-75
Metabelian varieties of Lie algebras with a~finite lattice of subquasivarieties
p. 76-80
Local Lie algebras of statics
p. 81-85
Local Lie algebras of statics
p. 86-88

Sommaire du Fascicule no. 11

An approach to the study of approximation properties of linear operators
p. 3-6
Universal form of writing the solution of a~system of linear nonhomogeneous differential equations with constant coefficients
p. 6-13
Moduli of continuity of permutations, and multiplicative inequalities
p. 13-19
Extremal positive extensions of an infinite-dimensional analogue of the Krein--Feller differentiation operator
p. 19-22
The space of continuous functions, and box products
p. 22-24
Absolute summability of orthogonal series by $(\varphi,\lambda)$ methods
p. 25-36
Fourier--Haar double series
p. 36-38
Quasivarieties of representations of groups
p. 39-42
Optimization, on a~nonfixed time interval, of differential inclusions with delay
p. 43-48
A~nonclassical problem for a~degenerate hyperbolic equation
p. 48-51
Approximate conditions for optimality for a~system described by a~nonlinear parabolic equation
p. 52-60
On the index of the operator of the Dirichlet problem in a~domain with a~piecewise-smooth or Radon boundary
p. 60-66
Hermite--Pad\'e approximations of sequential powers of a~logarithm and their arithmetic applications
p. 66-74
Some classes of optimization problems on a~set of arrangements and their properties
p. 74-86
Representation of solutions of operator-differential equations of hyperbolic type in polynomial form
p. 87-89
A~variational maximum principle for pulse and singular regimes in an optimization problem that is linear with respect to control
p. 89-91
Stability of hybrid control systems
p. 91-94
Asymptotics of eigenvalues for a~class of nonuniformly elliptic operators
p. 94-96
Weight conditions that guarantee the similarity of weighted Sobolev spaces under conformal mappings of domains
p. 96-97

Sommaire du Fascicule no. 12

Infinite-dimensional manifolds generated by ANR-operads
p. 3-5
On an estimate for the solution of the Cauchy problem with inexactly specified initial data and right-hand side
p. 5-8
Integral representation of an analytic function inside a~parallelogram and its application
p. 8-12
On the rate of convergence in the Banach--Saks property
p. 13-15
Some Liouville theorems on Riemannian manifolds of a~special type
p. 15-24
Distribution of the orders of groups of conformal transformations of Riemannian spaces
p. 24-29
Two-sided solutions of nonlinear differential equations with deviating arguments
p. 30-33
On the solution of plate bending problems
p. 33-40
The Bubnov--Galerkin method for the one-dimensional Reissner system
p. 41-47
On the asymptotic behavior of solutions of Volterra integral equations in Banach spaces
p. 47-55
Extended differentiability of an implicit function in spaces without a~norm
p. 55-63
Application of group methods in a~problem on the evolution of self-gravitating clusters of a~dust-filled gas nebula
p. 63-67
An inverse problem for differential operators on the half-axis
p. 67-76
Classes of multivalent analytic functions that solve the Hilbert problem
p. 77-80
The inner superposition operator in the space of discrete measures
p. 80-85
On a~problem for the Schr\"odinger equation
p. 85-86
Some improvements of the estimates in our paper: ``Intersection of a space and a polyhedral cone"
p. 87-89