Geodesic

Sommaire du Fascicule no. 1

A criterion for the stability of multiple limit cycles
p. 3-7
Justification of the averaging principle for multifrequency systems of differential equations with delay
p. 8-14
On a dissipative inequality for finite-dimensional linear passive dynamical systems
p. 15-23
Controllability of the characteristic vectors of linear time-dependent systems
p. 24-29
Boundedness criteria for the number of possible compact hypersurfaces determined by differential systems
p. 30-37
The first higher-order Painlev\'e equation
p. 38-42
Order characteristics of existence properties of strong linear finite-dimensional differential models
p. 43-50
Orbital normal forms of two-dimensional analytic systems with zero linear and nonzero quadratic parts
p. 51-57
Stability of $L^p$-essential spectra of ordinary differential operators with almost constant coefficients
p. 58-64
On the existence of a linear Pfaffian system with a disconnected lower characteristic set of positive measure
p. 65-71
On periodic solutions of higher-order nonautonomous ordinary differential equations
p. 72-78
Application of nonmonotone Lyapunov functionals in the investigation of the boundedness of solutions of equations with delay
p. 79-83
Existence theorems for strong solutions of stochastic differential equations and inclusions
p. 84-89
Lappo-Danilevski{\v\i} systems in the set of linear systems
p. 90-96
On the global controllability of a complete set of Lyapunov invariants of two-dimensional linear systems
p. 97-106
The structure of the controllability set of a linear subcritical system
p. 107-115
Existence of preserved structures for diffeomorphisms with an ergodic invariant measure
p. 116-120
Positivity and exponential dichotomy of a family of automorphisms of a vector bundle
p. 121-124
Fundamental solutions of the Maxwell equations
p. 125-127
The operator Bessel function, related semigroups, and a modified Hilbert transform
p. 128-130
A method for realizing finite element schemes for elliptic equations
p. 131-133
Об ограниченных решениях нелинейных сингулярно возмущенных интегро-дифференциальных систем
p. 134-135
О~семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 136-139

Sommaire du Fascicule no. 2

Aleksandr Andreevich Samarski{\v\i} (on the occasion of his eightieth birthday)
p. 147-151
Stability of operator-difference schemes
p. 152-187
An estimate for the spectral function of a selfadjoint extension in $\mathbb R^N$ of the Schr\"odinger operator with a potential satisfying the strengthened Stummel condition
p. 188-199
The basis property of a system of eigenfunctions of a differential operator in a weighted space
p. 200-205
A method for solving a nonlinear selfadjoint spectral problem for a second-order ordinary differential equation with coupled boundary conditions
p. 206-211
On the stability of difference schemes of a multicomponent alternating direction method for parabolic equations and systems
p. 212-224
The domain decomposition method for solving grid parabolic problems
p. 225-231
The finite element method for fourth-order quasilinear degenerate elliptic equations
p. 232-237
A dynamic problem in the theory of elasticity in the ``velocities-stresses'' formulation
p. 238-248
Asymptotic stability of difference schemes for a system of parabolic equations with nontraditional boundary conditions
p. 249-255
Strong stability of operator-differential and operator-difference schemes
p. 256-265
Energy-consistent conservative schemes for a quasilinear transport equation
p. 266-272
Accuracy of a discrete analogue of the spectral problem for an operator of the linear theory of elasticity
p. 273-279
Estimates for the coefficients of asymptotic series for solutions of the Sturm--Liouville equation with an analytic potential.~I
p. 280-284
Letter to the editors: ``On nonautonomous differential inclusions with a multivalued right-hand side'' [Differ. Uravn. \textbf{32} (1996), no. 5, 579--584, 716; MR1435340]

Sommaire du Fascicule no. 3

On periodic solutions of a system of differential equations
p. 291-295
On the stability of the singular set of a dynamical system
p. 296-303
Sections of sets of nonuniqueness points of first-order ordinary differential equations
p. 304-309
An algorithm for solving the conditional extremum problem
p. 310-312
Completeness of a system of root elements of a fourth-order operator-differential equation
p. 313-318
An approximation of the Green function for the Schr\"odinger equation
p. 319-324
Existence of the principal eigenvalue for cooperative elliptic systems in a general domain
p. 325-333
On the existence of conformally equivalent metrics for Riemannian manifolds with boundary
p. 334-339
The Fourier-Bessel transformation in the theory of singular differential equations
p. 340-350
The Cauchy problem for the extended Fisher--Kolmogorov equation
p. 351-366
Sufficient conditions for the convergence of nonclassical asymptotic expansions for the Sturm--Liouville problem with periodic conditions
p. 367-378
Solution of differential-algebraic equations by the method of continuation with respect to the best parameter
p. 379-387
A two-sided FD-method for solving the Dirichlet problem for the Helmholtz equation
p. 388-395
Mathematical modeling of convective diffusion processes in a multicomponent incompressible medium with chemical transformations and phase transitions
p. 396-402
Estimates for the coefficients of asymptotic series for solutions of the Sturm--Liouville equation wtih an analytic potential.~II
p. 403-410
On some difference analogues of first-order invariant hyperbolic systems
p. 411-417
Integrals and last multipliers of partial differential systems
p. 418-419
Continuability of solutions of nonlinear equations
p. 420-422
Stabilization of an unstable fixed point in a simplified model of a Lorentz gas
p. 423-424
Stability and attraction in quasidifferential equations
An infinite-dimensional analogue of the theorem on a removable singular point of a harmonic function
p. 426-427

Sommaire du Fascicule no. 4

Viktor Antonovich Sadovnichi{\v\i} (on the occasion of his sixtieth birthday)
p. 435-446
$\mathbb R$-holomorphic solutions of a total differential equation
p. 447-452
$B$-stability and the Florio--Seibert problem
p. 453-463
On the reduction principle for functional-differential equations of neutral type
p. 464-472
A problem with polynomial asymptotic initial data at the point at infinity
p. 473-479
On the representation of a function by an integral in eigenfunctions of the Bessel operator
p. 480-489
Regularized traces of differential operators: the Lidski{\v\i}--Sadovnichi{\v\i} method
p. 490-497
An estimate for the best approximation of solutions of the Sturm--Liouville equation with an analytic potential by partial sums of asymptotic series
p. 498-506
Bases that occur in the solution of equations of mixed type
p. 507-515
Regularized traces of the Hill operator
p. 516-522
Equations of the dynamics of the cupulo-endolymphatic system of vestibular channels
p. 523-527
The trace of the Laplace--Beltrami operator with a potential on a Zoll surface
p. 528-539
Asymptotics of the eigenvalues of a boundary value problem with rapidly oscillating boundary conditions
p. 540-551
An estimate for the difference of spectral functions, and regularized trace formulas for a power of the Laplace operator defined on a triangle or a square, in $L_p$, $1\le p\le2$
p. 552-555
A regularized trace of a bounded perturbation of an operator with a trace-class resolvent
p. 556-564
An existence theorem for a nonlinear time-optimality problem
p. 565-567
Completeness and the Abel basis property of a system of root functions of a nonlocal problem
p. 568-569
Obstacles to the propagation of simple waves in a nonhomogeneous medium
p. 570-572

Sommaire du Fascicule no. 5

Stanislav Vasil'evich Emel'yanov (on the occasion of his seventieth birthday)
p. 579-589
Second-order controlled differential gradient methods for solving equilibrium problems
p. 590-599
A generalized isoperimetric problem with a linear shift in the objective function
p. 600-605
The standard $H_\infty$-optimal control problem with a quadratic performance functional of general form
p. 606-616
Attractors of controlled systems
p. 617-622
The method of several Lyapunov functions in the problem of global stabilization of nonlinear systems
p. 623-629
Immunity zones of controlled dynamical systems
p. 630-637
Robust stabilization of uncertain linear systems
p. 638-642
On the asymptotic behavior of linear systems with variable parameters and with aftereffect
p. 643-648
Duality of nonlinear dynamical systems, and the synthesis of observers
p. 649-663
Some approaches to the problem of the control of diffusion chaos
p. 664-669
Structurally stable singularities of discontinuous dynamical systems
p. 670-677
Testing the stabilization accuracy of stochastic control systems
p. 678-685
Equilibria for noncooperative differential games
p. 686-691
The wave equation with boundary control at two ends and the problem of the complete damping of a vibration process
p. 692-704
On invariant index formulas for spectral boundary value problems
p. 705-714
О~Соросовском Образовательном Журнале
p. 715-716

Sommaire du Fascicule no. 6

Regular zeros of a quadratic mapping and local controllability of nonlinear systems
p. 723-728
Asymptotic equilibrium, periodic solutions, and Lyapunov's direct method
p. 729-732
Limit cycles in the two-dimensional May problem
p. 733-737
On time sequences that realize characteristic and lower characteristic vectors of solutions
p. 738-744
Estimates for solutions in critical cases of stability theory
p. 745-754
On almost periodic solutions of the matrix Riccati equation
p. 755-763
On the problem of constructing averaged differential inclusions
p. 764-771
Investigation of the solvability of a degenerate evolution equation with a nonhomogeneous nonlinearity by the compactness method
p. 772-779
On the set of solutions of a boundary value problem for a hyperbolic differential inclusion
p. 780-783
Unique solvability of boundary value problems for elliptic equations with nonlinearities
p. 784-792
Spectral asymptotics of strongly elliptic differential-difference operators
p. 793-800
On the causality of operators that arise in problems of mathematical physics with weak nonlinearities
p. 801-808
On the solvability of an initial-boundary value problem for a quasilinear heat equation
p. 809-812
On the dynamic reconstruction of controls in a differential equation with memory
p. 813-821
On an estimate for solutions of the Cauchy problem with an arbitrary-order initial jump for linear singularly perturbed integrodifferential equations
p. 822-830
On bounded solutions of a class of systems of integral equations that arise in models of biological processes
p. 831-836
Quantization of one-phase potentials, and Painlev\'e equations
p. 837-839
On the instability of an equilibrium state with respect to the first approximation of a stationary nonlinear equation in a Hilbert space
On solutions of some special third-order partial differential equations
p. 841-842
Passage to the limit with respect to a small parameter for the eigenvalues of a singularly perturbed Sturm--Liouville problem
p. 843-845
Averaging of solutions of an elliptic equation with nonlinear absorption in a punctured domain
p. 846-847
Lyudmila Filippovna Zelikina
p. 848-849
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 850-859

Sommaire du Fascicule no. 7

Strong isochronism of polynomial differential systems with a center
p. 867-873
A priori estimates and the solvability of problems with nonlinear functional boundary conditions
p. 874-881
Types of dynamic behavior in the Hanski--Henttonen model
p. 882-888
Dynamics of equations with feedback of impulse type
p. 889-898
Lower characteristic exponents of nontrivial solutions of Pfaffian systems
p. 899-908
$L^p$-properties of solutions of second-order quasidifferential equations and the perturbation of their coefficients on sets of positive measure
p. 909-917
The problem of vibrations of a rectangular membrane under mechanical impact at one point
p. 918-925
The problem of determining a nonlinear coefficient in a system of partial differential equations
p. 926-934
Development of the method of spin coefficients for the integration of equations of bimetric gravitational theories
p. 935-941
The generalized Neumann problem for harmonic functions in a half-space
p. 942-947
On a composition method for constructing iterative algorithms for solving stationary problems in mathematical physics
p. 948-957
On the rate of convergence of a difference solution of the first boundary value problem for a fourth-order elliptic equation
p. 958-963
Canonical forms of linear discrete two-parameter systems
p. 964-968
An efficient method for solving nonlinear multidimensional Schr\"odinger equations
p. 969-974
Methods for the numerical modeling of equilibrium capillary surfaces
p. 975-981
Essentially unstable solutions of difference equations in a Banach space
p. 982-989
Optimization of piecewise-uniform grids for singularly perturbed equations of reaction-diffusion type
p. 990-997
On the determination of the characteristic polynomial associated with a system of ordinary differential equations
p. 998-999
On coefficient estimates for global solutions of the Cauchy problem for semilinear partial differential systems
p. 1000-1002
On solutions of a dynamical system with quadratic nonlinearities
p. 1003-1004

Sommaire du Fascicule no. 8

Anatoli{\v\i} Serafimovich Il'inski{\v\i} (on the occasion of his sixtieth birthday)
p. 1011-1012
On the theory of the global asymptotic stability of phase systems
p. 1013-1019
On conditionally periodic solutions of differential equations
p. 1020-1023
Oscillation properties of solutions of a nonselfadjoint spectral problem with the spectral parameter in the boundary condition
p. 1024-1027
On the unique solvability of some classes of nonlinear regular and singularly perturbed boundary value problems
p. 1028-1035
On the theory of periodic solutions of semilinear differential systems
p. 1036-1045
The mean value formula of E.\,I.~Moiseev for even-order differential equations with nonsmooth coefficients
p. 1046-1057
On a class of boundary value problems for the Sturm--Liouville operator
p. 1058-1066
Investigation of the $\zeta$-function of operators for a class of nonlocal elliptic problems
p. 1067-1076
An estimate for the increment of the spectral function of the Schr\"odinger operator with a potential satisfying a Kato-type condition
p. 1077-1086
On Frankl'-type problems for some elliptic equations with degeneration of various types
p. 1087-1093
On the solution of a nonlocal boundary value problem by the spectral method
p. 1094-1100
On a boundary value problem for the Tricomi equation in a special domain
p. 1101-1111
On the solvability of some multidimensional versions of the Goursat problem for a first-order hyperbolic system
p. 1112-1121
The Dirichlet problem for the Gellerstedt equation in an infinite rectangular domain
p. 1122-1126
On the determination of a boundary condition from a finite set of eigenvalues
p. 1127-1128
On the classical solution of a mixed problem for a one-dimensional second-order hyperbolic equation
p. 1129-1131
On the number of periodic solutions generated by a singular periodic solution
p. 1132-1134
Integral transforms of the theory of differential-difference equations of mixed type
p. 1135-1136
On variational systems along trajectories of a stable compact invariant set of an autonomous complex analytic system of differential equations
p. 1137-1138
Criteria for dangerous and safe boundaries of stability domains for second-order equations with delay
p. 1139-1140
Dispersion equations for the wave vector of an electromagnetic wave in a medium consisting of parallel dielectric cylinders
p. 1141-1143
О~семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 1144-1147

Sommaire du Fascicule no. 9

The method of integral equations in the third boundary value problem of diffraction by a bounded lattice over a plane screen
p. 1155-1161
Fredholm formulas for linear integral equations
p. 1162-1170
Application of integral equations to a singularly perturbed nonstationary boundary value problem of heat conduction with moving boundaries
p. 1171-1178
A mixed problem for the Laplace equation in three-dimensional multiply connected domains
p. 1179-1186
On solutions of the Lotka--Volterra model taking into account the boundedness of the life spans of species of competing populations
p. 1187-1193
Reduction of a boundary value problem of the conjugation of generalized analytic functions to an integral equation
p. 1194-1198
Algorithms, optimal with respect to complexity, for the approximate solution of singular integral equations
p. 1199-1206
Embeddability of nonlinear discrete equations with changing structure into linear systems
p. 1207-1215
The theory of the solvability of a class of integro-differential equations in a space of generalized functions
p. 1216-1226
On singular solutions of some boundary value problems and of singular integral equations
p. 1227-1241
On the approximate solution of a real singular integral equation on the spectrum
p. 1242-1252
Piecewise-polynomial approximation of the solution of weakly singular integral equations with discontinuous coefficients
p. 1253-1261
Limit theorems in the theory of periodic solutions of linear and quasilinear systems of difference equations
p. 1262-1270
Integral equations for problems of diffraction by magnetodielectric bodies
p. 1271-1277
On the conditioning of the matrix of a linear algebraic system arising in the approximation of a singular integral equation with a Cauchy kernel
p. 1278-1285
The action of the Hilbert operator on linear fractional functions
p. 1286-1288
On the instability of the solution of a system with constant delay
p. 1289-1290
Asymptotic behavior of the solution of the Cauchy problem for the two-dimensional homogeneous wave equation
p. 1291-1292

Sommaire du Fascicule no. 10

Vladimir Mikha{\v\i}lovich Millionshchikov (on the occasion of his sixtieth birthday)
p. 1299-1312
On the stability of the equilibrium position of a system of differential equations in the critical case of two purely imaginary and two zero roots of the characteristic equation
p. 1313-1318
Asymptotic expansion of the quasipotential for a stochastically perturbed nonlinear oscillator
p. 1319-1324
Criteria for the boundedness of the number of compact regular integral manifolds of autonomous differential equations
p. 1325-1329
On the stability of a periodic system of differential equations with delay
p. 1330-1336
On a countable set of normalized eigenfunctions of a nonlinear periodic problem with a transformed argument
p. 1337-1342
Local dynamics of nonlinear singularly perturbed systems with delay
p. 1343-1355
``Duck hunting'' in the study of singularly perturbed boundary value problems
p. 1356-1365
On third-order linear equations
p. 1366-1371
On the theory of two-point boundary value problems for second-order differential equations
p. 1372-1381
On the existence of a linear Pfaffian system with an arbitrary countable lower characteristic set
p. 1382-1386
A lower bound for the minimal exponent of a three-dimensional system
p. 1387-1397
Boundary equations with a discontinuous dihedral group in problems of diffraction by bodies of revolution
p. 1398-1402
Stabilization of solutions of a quasilinear system of equations with a nonstrictly monotone nonlinearity
p. 1403-1407
On the Cauchy problem for irregular equations
p. 1408-1420
Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equation
p. 1421-1425
Extension of classes of exactly solvable degenerate systems of Fedorov equations by means of dual $n$-numbers
p. 1426-1428
Necessary equality-type optimality condition for delay systems with integral constraints on the control
Asymptotic representation of solutions of ordinary differential equations with two parameters
p. 1430-1432
Ограниченные решения линейных сингулярно возмущенных систем
p. 1433-1434
On Lyapunov exponents of linear extensions of an irrational winding on a torus
p. 1435-1436

Sommaire du Fascicule no. 11

Aleksandr Borisovich Kurzhanski{\v\i} (on the occasion of his sixtieth birthday)
p. 1443-1451
The sliding regime in the solution of a game-theoretic linear-quadratic problem
p. 1452-1459
Search methods for admissible solutions in optimal control problems
p. 1460-1467
The deviation of a functional from its optimal value under chattering decreases exponentially as the number of switchings grows
p. 1468-1472
On the decomposition of three-dimensional nonlinear control systems
p. 1473-1481
On the dynamic reconstruction of controls and parameters under conditions of incomplete information about the system
p. 1482-1486
Estimation of the admissibility set of a nonlinear plant controlled from within
p. 1487-1491
Passive scattering systems with nonlinear feedback
p. 1492-1495
Geometry of discontinuous systems near an elliptic singularity
p. 1496-1510
Noncooperative differential games that are Pareto-optimal
p. 1511-1516
A wave equation with a bounded control on two ends for an arbitrary time interval
p. 1517-1534
The Cauchy problem for an evolution equation with an unbounded operator in a family of Radon probability measures
p. 1535-1542
Additive iterative methods for solving stationary problems for the Navier--Stokes equations
p. 1543-1552
On a method for constructing Lyapunov functionals
p. 1553-1565
On an efficient method for solving first-order hyperbolic systems
p. 1566-1570
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1571-1581

Sommaire du Fascicule no. 12

On the generation of limit cycles from a separatrix contour in a three-parameter family of dynamical systems on orientable two-dimensional manifolds
p. 1587-1596
Equiconvergence of biorthogonal expansions in root functions of differential operators.~I
p. 1597-1609
Controllability of linear discrete systems in a Banach space.~II
p. 1610-1618
On the connectedness of values of a solution of a differential equation with multidimensional time without the complete integrability assumption
p. 1619-1623
Trajectories on a sphere that are generated by Lagrangians with higher-order derivatives
p. 1624-1629
The rotation method and singular numbers of three-dimensional systems
p. 1630-1639
The wave equation with a boundary control at one end and the other end fixed
p. 1640-1659
Multiparametric solutions of the Tzitzeica equation
p. 1660-1668
The Fourier method in the Cauchy problem and absolutely representing systems of exponentials.~I
p. 1669-1676
A boundary value problem of the first kind for some nonlinear differential equations with degeneration on manifolds of arbitrary dimensions
p. 1677-1683
$R$-identity of second-order elliptic operators with continuous coefficients
p. 1684-1690
On the existence and stability of periodic solutions of an inhomogeneous hyperbolic equation
p. 1691-1700
On some properties of the parabolic potential of bulk masses.~I
p. 1701-1706
Investigation of the stability of solutions of nonlinear systems with unbounded perturbations
p. 1707-1708
A mixture of the Leray--Schauder and the Poincar\'e--Andronov methods in the problem of periodic solutions of ordinary differential equations
p. 1709-1711
The method of small regular perturbations in the investigation of singular differential equations in a Banach space
Letter to the editors: ``The trace of the Laplace-Beltrami operator with a potential on a Zoll surface'' [Differ. Uravn. \textbf{35} (1999), no. 4, 528--539, 575; MR1719784]