Geodesic

Sommaire du Fascicule no. 1

Nikolai Alekseevich Izobov
p. 3-11
Aleksandr Andreevich Shestakov
p. 12-17
Uniformly observable linear nonstationary systems with many outputs and their canonical forms
p. 18-25
Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation: I
p. 26-32
Classes of Painlevé type second-order differential equation of the second degree
p. 33-38
Conditional stability of systems of ordinary differential equations and semihyperbolic systems
p. 39-46
Existence theorems for solutions of stochastic differential equations with discontinuous right-hand sides
p. 47-53
On the higher exponent of a linear many-dimensional completely integrable equation
p. 54-61
An optimal control problem for stationary delay systems
p. 62-70
$L^2$-stability of linear spatially homogeneous mixed functional-differential equations
p. 71-75
Differentiability of the optimal time vector and positional control of a linear subcritical system
p. 76-84
Nonoscillating unbounded solutions of Emden--Fowler systems of arbitrary order
p. 85-93
The integrability conditions for two cubic vector fields
p. 94-97
Center conditions and limit cycles in a cubic system of differential equations
p. 98-102
Moduli of continuity of the derivatives of invariant tori for linear extensions of dynamical systems
p. 103-113
An upper estimate for the minimal exponent of a three-dimensional system
p. 114-123
The Schr\"{o}dinger operator with a $\delta$-potential: The case of degenerate resonances
p. 124-126
One theorem for the Neumann boundary value problem
p. 127-128
Uniform final boundedness of solutions of scalar linear equations with a constant delay
p. 129-132
The inverting function and boundedness of solutions of differential systems
p. 133-134
Computation of the transfer matrix for differential-algebraic systems of the neutral type
p. 135-136
Seminar on problems of nonlinear dynamics and control at Moscow State University
p. 137-140

Sommaire du Fascicule no. 2

The Hilbert and Bessel properties of systems of eigenfunctions of second-order operators
p. 147-151
Stability conditions for the inverted pendulum whose suspension point performs decaying vibrations of a special form
p. 152-157
An estimate, in the metric of $L_2(R)$, of the equiconvergence rate with the fourier integral for the
p. 158-162
Asymptotic stability of It\^o differential systems with retarded argument
p. 163-167
The solution of a class of linear differential equations via functions of the Mittag-Leffler type
p. 168-176
The class of solutions and algebraic integrability of algebraic differential equations. Trajectories of dynamical systems
p. 177-186
The classification of differential equations with two independent variables on the basis of the principal part
p. 187-197
Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers
p. 198-208
Periodic step-like contrast structures for a singularly perturbed parabolic equation
p. 209-218
Normal solvability of general boundary value problems for some classes of pseudodifferential equations
p. 219-225
An analog of the lemma on the normal derivative for an elliptic equation on a stratified set
p. 226-232
Absolute continuity of the spectrum of a periodic Dirac operator
p. 233-240
Controllability of hyperbolic systems under singular perturbations
p. 241-250
The Fourier method in the Cauchy problem and absolutely representing systems of exponentials: II
p. 251-255
On evolution problems for linearly strictly viscoelastic materials
p. 256-261
An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability
p. 262-269
Integral representations and the linear conjugation problem for a generalized Cauchy--Riemann system with a singular manifold
p. 270-275
A representation of a periodic solution of a linear matrix differential equation
p. 276-278
The~$L_2$ solvability of a nonlocal problem with integral conditions for a hyperbolic equation
p. 279-280
Boundary value problems with free boundary for some classes of nonlinear ordinary differential equations
p. 281-283
International Conference ``Analytic Methods of Analysis and Differential Equations'' (AMADE-99) (September 14--18, 1999, Minsk, Belarus)

Sommaire du Fascicule no. 3

Integral representations of discontinuous solutions of a singular second-order differential operator on a finite interval
p. 291-300
On the basis property of Riesz means of spectral expansions corresponding to a nonself-adjoint ordinary differential operator of higher order: I
p. 301-311
Complete and partial averaging of nonautonomous nonlinear dissipative systems
p. 312-318
Equiconvergence of biorthogonal expansions in root functions of differential operators: II
p. 319-335
Asymptotic behavior of the spectral measure of the operator family $-y''-\varepsilon xy$
p. 336-344
A formula for the minimal exponent of a three-dimensional system
p. 345-354
A remark on Bressan’s regularization theorem
p. 355-358
Properties of differential and approximate finite-difference equations
p. 359-364
An a priori estimate for the norms of solutions of the Dirichlet problem for a class of regular operators
p. 365-371
The basis property of a system of root functions of a nonlocal problem for a third-order equation with a parabolic-hyperbolic operator
p. 372-376
Moment functions of the solution of the Cauchy problem for a first-order linear differential equation with random coefficients
p. 377-385
The fourier method in the Cauchy problem and absolutely representing systems of exponentials: III
p. 386-392
A nonlocal boundary value problem for a higher-order mixed equation
p. 393-399
A class of parabolic functional-differential equations of nonlinear optics
p. 400-407
Some properties of the parabolic volume mass potential: II
p. 408-414
Asymptotic behavior of solutions of some nonautonomous differential equations
p. 415-417
A class of inverse problems for a quadratic pencil of Sturm-Liouville operators
p. 418-420
On the solution of the Frankl problem
p. 421-422
Some estimates in $\mathbb R^n$ for linear partial differential $\Phi_+$-operators
p. 423-424
Self-similar solutions of a system of two nonlinear partial differential equations
p. 425-426
Abdel’khak Safiullovich Galiullin
p. 427-428

Sommaire du Fascicule no. 4

Anatolii Dmitrievich Myshkis
p. 435-437
The construction of differential inclusions with prescribed properties
p. 438-445
Uniqueness of the solution of some boundary value problems for ordinary differential equations with a nonlinear occurrence of the higher derivative
p. 446-451
On the basis property of Riesz means of spectral expansions corresponding to a nonself-adjoint ordinary differential operator of higher order: II
p. 452-457
Equiasymptotic stability in delay differential-functional systems
p. 458-463
Differential operators with nonlocal boundary conditions
p. 464-469
On the construction of a periodic solution of a second-order delay system
p. 470-474
Stability and instability by the first approximation
p. 475-485
The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data
p. 486-499
The Hilbert problem for first-order linear elliptic systems on a Riemann surface with boundary
p. 500-507
Improved well-posedness of problems of mathematical physics related to linear constraints
p. 508-518
Inverse boundary value problems for an abstract elliptic equation
p. 519-526
On the Cauchy problem for degenerate Kolmogorov type equations with $\vec{2b}$-parabolic part with
p. 527-536
A~necessary condition for the strong $G$-convergence of nonlinear operators of Dirichlet problems with
p. 537-541
The Cauchy problem for complete second-order hyperbolic differential equations with variable domains of operator coefficients
p. 542-548
Some convergence and stability conditions for nonlinear systems
p. 549-551
Solution of a modified Cauchy problem by the Riemann method for a certain spatial analog of the
p. 552-554
Convolution equations on the half-line with symbols degenerating on an interval
p. 555-557
A cubic Dulac function for a polynomial autonomous system on the plane with right-hand sides that are fourth-order nonlinearities
p. 558-560
A remark on the monotone damping problem for controlled dynamical systems
p. 561-562
Investigation of a spectral problem for the Helmholtz operator on the plane
p. 563-565
On the representation of solutions of a singular second-order elliptic equation in a neighborhood of a corner point
p. 566-568
Bifurcation of invariant tori in a neighborhood of an equilibrium of a system of ordinary differential equations
p. 569-571

Sommaire du Fascicule no. 5

Dynamic inverse problems for parabolic systems
p. 579-597
The bifurcation problem for a rod under torsion
p. 598-604
The influence of bounded external actions on stationary modes in systems with aftereffect
p. 605-611
Properties of solutions of periodic differential inclusions
p. 612-617
Periodicity of optimal controls in the problem on the evaluation of limits of maximal averages
p. 618-623
Existence and uniqueness theorems for an implicit delay differential equation
p. 624-628
An approach to the completeness of normal waves in a waveguide with magnetodielectric filling
p. 629-633
Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations
p. 634-646
On the integral representation of solutions of Kolmogorov-type degenerate equations with $\vec{2b}$-parabolic
p. 647-655
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions
p. 656-661
Asymptotic solutions of a singularly perturbed Cauchy problem for a parabolic equation with discontinuous coefficients
p. 662-666
Problem without initial conditions for a nonlinear pseudoparabolic system
p. 667-673
A Cauchy problem for the system of elasticity equations
p. 674-678
Homogenization of the stationary Stokes system in a perforated domain with a mixed condition on the
p. 679-688
The spectrum of the Schr\"{o}dinger operator with a Kato potential
p. 689-693
Asymptotics of the solution of a parabolic equation with a small parameter on a corner characteristic
p. 694-698
On a class of weighted additive schemes for second-order hyperbolic equations of arbitrary dimension
p. 699-702
An iterative domain decomposition method for problems of mathematical physics. III
p. 703-708
Finite-difference schemes for the Korteweg--de Vries equation
p. 709-716

Sommaire du Fascicule no. 6

Periodic solutions of a nonlinear sampled-data system in a neighborhood of a generating family of quasiperiodic solutions
p. 723-730
A criterion for the bessel property of systems of the form $\{\exp(i\lambda_nt)\sin(\mu_nt)\}$ and $\{\exp(i\lambda_nt)\cos(\mu_nt)\}$
p. 731-735
A controlled closing theorem
p. 736-741
Computation of the first eigenvalues of the hydrodynamic stability problem for a viscous fluid flow between two rotating cylinders
p. 742-746
Variational inequalities and inverse subdifferential problems for the Maxwell equations in a harmonic mode
p. 747-753
Homogenization of boundary value problems in domains with rapidly oscillating nonperiodic boundary
p. 754-764
An initial-boundary value problem for magnetogasdynamic equations with degenerate density
p. 765-773
Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems
p. 774-783
Embedding theorems and continuity of generalized solutions of quasilinear elliptic equations
p. 784-791
Subdifferential boundary value problems for the nonstationary Navier--Stokes equations
p. 792-798
Sufficient conditions for the smoothness of the generalized solution of a nonlocal boundary value
p. 799-805
The wave equation with a boundary control at the left endpoint and with free right endpoint and the complete vibration damping problem
p. 806-815
The operator form and the solvability of magnetohydrodynamic equations for nonlinearly viscous media
p. 816-821
Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems
p. 822-828
Completeness of the system of eigenfunctions of a fractional-order differential operator
p. 829-830
Global stability of two-dimensional systems
p. 831-832
Three-dimensional characteristic problems with normal derivatives in boundary conditions
p. 833-836
A finite-difference scheme of second-order accuracy for elliptic equations with discontinuous coefficients
p. 837-838
An algorithm for control of coefficients in delay systems
p. 839-840
The best many-dimensional parametrization
p. 841-843
The sign of the conormal derivative of a solution to a degenerating elliptic equation near a point of maximum
p. 844-847
Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary
p. 848-851
Seminar on qualitative theory of differential equations at Moscow State University
p. 852-860

Sommaire du Fascicule no. 7

Application of a finite-difference integral transform to Ionkin--Samarskii problems
p. 867-873
The limit subdomain decomposition of some spectral problems in strengthened Sobolev spaces
p. 874-883
The two-dimensional heat equation with nonlocal boundary conditions
p. 884-888
Nonnegative solutions of quasilinear elliptic inequalities in domains contained in a layer
p. 889-897
The continuation problem for the Prandtl boundary layer
p. 898-902
A modified Cauchy problem for the fractional-order differentiation operator with fixed beginning and end
p. 903-908
Asymptotic stability of the decomposition method for parabolic equations
p. 909-918
Analysis and comparison of some analytic and numerical solutions of hemodynamic problems
p. 919-924
Discrete models of the Boltzmann equation for mixtures
p. 925-929
Conservativity, accuracy, and asymptotic properties of numerical methods for nonlinear Schr\"odinger type equations
p. 930-938
The canonical form of reducible discrete systems with degenerate coefficient matrices
p. 939-945
A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations
p. 946-952
A parallel iterative method with a factorized preconditioning matrix for elliptic equations
p. 953-962
Finite-difference approximations to the transport equation. II
p. 963-970
A boundary value problem with a nonlocal condition for a system of ordinary differential equations
p. 971-978
Multiplicative extraction of singularities in FEM solvers for degenerate elliptic equations
p. 979-985
The accuracy of finite-difference schemes for parabolic equations with a discontinuous solution
p. 986-992
The stability of a class of nonautonomous systems with respect to a nonlinear approximation
p. 993-995
The Hilbert inequality for a one-parameter family of functions
p. 996-997
The fundamental wave problem for cylindrical dielectric waveguides
p. 998-999
The eigenfunctions of a Sturm--Liouville problem related to generalized lyapunov sines
The basis property of a perturbed trigonometric system
p. 1001-1003

Sommaire du Fascicule no. 8

The Bessel inequality and the basis property of root functions of a second-order singular differential operator
p. 1011-1020
Stabilization of bilinear systems on the plane by constant and relay controls
p. 1021-1028
The invariance of essential spectra of Balslev--Gamelin--Fashian differential operators in the scale of Lebesgue spaces
p. 1029-1036
The infinitesimal order of perturbations preserving the instability of a singular point
p. 1037-1044
The properties of entire solutions of one differential equation
p. 1045-1050
A boundary value problem in a strip for partial differential equations in classes of tempered functions
p. 1051-1059
Branching of a $C_1$ solution of a mixed problem for a system of telegraph equations
p. 1060-1068
Convergence of spectral expansions for functions of the H\"older class for two problems with a spectral
p. 1069-1074
A Cauchy problem with discontinuous initial data modeling propagation of vibrations in a rotating viscous
p. 1075-1084
A positional control problem for a nonlinear parabolic system
p. 1085-1092
Structural and qualitative properties of the inverse of the fractional integro-differentiation operator with fixed endpoints
p. 1093-1100
The Lavrent'ev--Bitsadze system: Solutions admitting infinite-order zeros
p. 1101-1105
Solvability of a nonstationary thermal convection problem for a viscoelastic incompressible fluid
p. 1106-1112
On the statement of characteristic problems for symmetric first-order hyperbolic systems
p. 1113-1122
The Dirichlet problem for a mixed-type equation in a rectangular domain
p. 1123-1127
The exact descriptive type of the set of proper linear systems
p. 1128-1129
Algebraically embeddable systems of total differential equations
p. 1130-1131
The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter
p. 1132-1133
Some estimates in $R^n$ for linear partial differential operators
p. 1134-1135
The method of rotating Lyapunov functions in the stabilization problem for two-dimensional bilinear
p. 1136-1138
Boundary value problems with discontinuity conditions in an interior point of the interval
p. 1139-1140
Seminar on problems of nonlinear dynamics and control in Moscow State University
p. 1141-1147

Sommaire du Fascicule no. 9

On the Schr\"odinger equation with potential concentrated on a surface
p. 1155-1159
The method of boundary integral equations for two-dimensional singularly perturbed nonstationary heat problems with nonlinear boundary conditions
p. 1160-1171
The Neumann boundary value problem in the halfspace
p. 1172-1183
Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves
p. 1184-1195
The method of integral equations in the oblique derivative problem arising in semiconductor physics
p. 1196-1208
The algebra of singular operators with terminal symbol on a piecewise smooth curve: I. Convolution type operators on a semiaxis
p. 1209-1219
The convergence rate of economical iterative methods for stationary problems of mathematical physics
p. 1220-1229
Approximate methods for singular integral equations in exceptional cases
p. 1230-1237
Analysis of inhomogeneities on wafers by the integral transform method
p. 1238-1247
On a uniform approximation of a hypersingular integral equation on the torus
p. 1248-1252
Properties of a family of singular integral operators on an arbitrary piecewise smooth curve
p. 1253-1264
Numerical solution of many-dimensional integral equations with kernels depending on the difference of arguments
p. 1265-1269
Modified discrete vortex methods for the numerical solution of singular integral equations
p. 1270-1277
A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator
p. 1278-1279
New solvability conditions for the Neumann problem for ordinary singular differential equations
p. 1280-1281
The spectrum of the Cauchy problem for irregular equations
p. 1282-1284
Positional stabilization of two-dimensional bilinear systems with degenerate matrix of the bilinear form
p. 1285-1288
The analytic structure of periodic solutions of a Lyapunov type matrix differential equation
p. 1289-1291
New Journal

Sommaire du Fascicule no. 10

Vladimir Ivanovich Zubov
p. 1299-1300
Conditions for the existence and uniqueness of periodic solutions of nonautonomous differential equations
p. 1301-1306
Estimates of generalized eigenfunctions of two-term differential operator of even order
p. 1307-1314
The Hopf bifurcation in a family of equilibria of a dynamical system with a multicosymmetry
p. 1315-1323
On many-point spectral boundary value problems
p. 1324-1330
The geometry of point extensions of a class of second-order differential equations
p. 1331-1335
Stability of completely controllable systems
p. 1336-1344
An initial-boundary value problem for a nonlinear wave equation in an $n$-dimensional rectangular domain
p. 1345-1352
An initial-boundary value problem for an equation of the mixed parabolic-hyperbolic type with distributed delay
p. 1353-1356
The basis property in $L_p$ of the systems of eigenfunctions corresponding to two problems with a spectral
p. 1357-1360
Boundary value problems for a mixed-type equation in domains with a doubly connected hyperbolicity subdomain
p. 1361-1364
Solutions of the $B$-polyharmonic equation
p. 1365-1368
Control of a boundary value problem for a linear impulsive integro-differential system
p. 1369-1376
A class of second-order convolution equations on an interval
p. 1377-1384
Analytic solution of the fragmentation equation by methods of the theory of adjoint equations
p. 1385-1392
A representation of the quasi-inverse for a class of linear integral operators
p. 1393-1397
The asymptotic method of differential inequalities for singularly perturbed integro-differential equations
p. 1398-1404
The integral equation of a transmission problem for generalized analytic functions on a nonstationary boundary
p. 1405-1409
Some properties of integro-differential inclusions
p. 1410-1414
Volterra type integral equations with conjugation
p. 1415-1421
The eigenvalues of a boundary value problem for a fractional-order differential operator
p. 1422-1423
The sharp Baire class of auxiliary exponents
p. 1424-1426
An inverse problem for a hyperbolic equation
p. 1427-1429
The relationship between the central exponents of linear systems and the stability of zero solutions of perturbed systems
p. 1430-1431
Existence and the asymptotics of a bounded solution of a linear singularly perturbed system
p. 1432-1433
An extremal problem with the Wiener--Hopf operator
p. 1434-1435

Sommaire du Fascicule no. 11

Solving variational inequalities with coupling constraints with the use of differential equations
p. 1443-1451
A solution of the absolute stabilizability problem on the basis of frequency inequalities
p. 1452-1457
Cells of controlled dynamical systems on the plane
p. 1458-1463
Hyperbolic properties of four-dimensional symplectic mappings with a structurally unstable trajectory homoclinic to a fixed point of the saddle-focus type
p. 1464-1474
An optimality criterion in a linear-quadratic optimal control problem for a descriptor system
p. 1475-1481
Stabilization of affine systems
p. 1482-1487
Stabilization of unstable periodic solutions of delay equations
p. 1488-1492
Singularly perturbed problems and the Painlev\'e paradox
p. 1493-1500
An inner estimate of the attainability set of Brockett’s nonlinear integrator
p. 1501-1505
Some approaches to the construction of the theory of multivalued differential games
p. 1506-1512
Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
p. 1513-1528
Weak solutions of the Cauchy problem in the set of radon probability measures
p. 1529-1537
Application of special coordinated series to the solution of nonlinear partial differential equations in bounded domains
p. 1538-1543
Linear systems of variable structure. Controllability and observability
p. 1544-1549
Solution of the inverse variational problem in linear-quadratic dynamic games
p. 1550-1553
Properties of solutions of some finite-difference systems with variable coefficients
p. 1554-1559
A finite-difference method for solving initial-boundary value problems for loaded differential and integro-differential equations
p. 1560-1562
The Poincar\'e theorem on the absence of compact regular orbits and its applications
p. 1563-1565
Computation of the maximal lower Perron exponent of a linear system
p. 1566-1567
Small stabilizing perturbations of a vector second-order Euler equation with bounded operator coefficients
p. 1568-1569
Seminar on qualitative theory of differential equations at Moscow State University
p. 1570-1579
Letter to the editors: ``Orbital normal forms of two-dimensional analytic systems with zero linear and nonzero quadratic parts'' [Differ. Uravn. \textbf{35} (1999), no. 1, 51--57, 141; MR1723202]
A Letter to the editorial board

Sommaire du Fascicule no. 12

Ordinary Differential Inclusions with Internal and External Perturbations
p. 1587-1598
On the Measure of the Set of Solutions of a Linear Pfaff System with Coinciding Lower Characteristic Sets
p. 1599-1606
Upper and Lower Functions in Boundary Value Problems for a Third-Order Ordinary Differential Equation
p. 1607-1614
Millionshchikov's Solution of Erugin's Problem
p. 1615-1620
A Generalized Bessel Inequality for Ordinary Differential Operators with Nonsmooth Coefficients and a Generalization of the Riesz Theorem
p. 1621-1630
The Complete Integrability of the Linear Approximation Equations for Completely Integrable Quasilinear Total Differential Equations
p. 1631-1635
A Reflecting Function of a Family of Functions
p. 1636-1641
Nonoscillating Kneser Solutions of the Emden--Fawler Equation
p. 1642-1651
Centers and Foci for a Class of Cubic Systems
p. 1652-1657
A Search for the Always Existing Strongest Equilibrium in Coalition-Free Differential Games
p. 1658-1664
Solution of $n$-Person Games by a Proximal Method of Prediction Type
p. 1665-1669
Boundary Control of Oscillations at One Endpoint with the Other Endpoint Fixed in Terms of a Finite-Energy Generalized Solution of the Wave Equation
p. 1670-1686
A Boundary Value Problem for a Second-Order Singular Elliptic Equation in a Sector on the Plane
p. 1687-1694
The Inverse Problem of Spectral Analysis for a Power of the Laplace Operator in the Rectangle
p. 1695-1698
A Stabilizability Criterion for Differential Equations with Constant Coefficients in the Entire Space
p. 1699-1706
The Dirichlet Problem for an Elliptic System of an Even Number of Second-Order Equations
p. 1707-1709
Problems without Initial Conditions for Degenerating Parabolic Equations
p. 1710-1711
Systems of Two First-Order Second-Degree Differential Equations of the Painlev\'e Type
p. 1712-1714