Geodesic

Sommaire du Fascicule no. 1

On a scheme for studying cycles of nonlinear systems
p. 3-8
Some properties of root functions of differential operators that are connected with the unconditional basis property
p. 9-14
The curve of separatrix cycles of an autonomous quadratic system in the plane. The case of two anti-saddles
p. 15-21
Some estimates for root functions of a matrix differential operator with a diagonal-matrix eigenvalue
p. 22-31
An estimate, uniform on the whole line $\mathbb R$, for the rate of convergence of a spectral expansion corresponding to the Schr\"odinger operator with a summable potential
p. 32-36
On necessary and sufficient conditions for the basis property of systems of root functions of a differential operator
p. 37-43
The potential method in a linear time-optimality problem
p. 44-51
Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. I
p. 52-61
Distribution of eigenvalues for uniformly minimal systems of root functions of ordinary differential operators
p. 62-70
On the rate of convergence of biorthogonal series connected with second-order differential operators
p. 71-82
On the convergence of Riesz means of spectral expansions that correspond to the Schr\"odinger operator with a singular potential
p. 83-89
The generalized Fourier method for solving mixed problems for nonlinear equations
p. 90-100
On the semidiscretization method in the problem of periodic solutions of quasilinear autonomous parabolic equations
p. 101-106
On some problem of the reconstruction of a boundary condition for a parabolic equation.~I
p. 107-116
On the differential properties of expansions in a system of sines and cosines
p. 117-126
On the construction of solutions of linear difference systems with continuous time
p. 127-128
On a method for solving a form of integral equations of the first kind
p. 129-130
On solutions, bounded on the half-axis, of nonlinear differential equations
p. 131-132
On a boundary value problem for the Schr\"odinger operator with a complex potential
p. 133-134
On the expansion of the solution of the generalized Gellerstedt problem in a biorthogonal series
p. 135-137
On a connection between the solutions of a linear differential equation and solutions of a conjugate equation
p. 138-139

Sommaire du Fascicule no. 2

On the existence of periodic points in a neighborhood of a homoclinic point of an $n$-dimensional diffeomorphism
p. 147-153
On the transcendence of the Painlev\'e equations
p. 154-160
On equiconvergence for matrix differential operators with a diagonal-matrix eigenvalue
p. 161-170
On a singular Cauchy problem for systems of linear ordinary differential equations
p. 171-179
Duck cycles of three-dimensional relaxation systems with one fast and two slow variables
p. 180-184
On the existence of right-sided solutions of the differential equations of the dynamics of mechanical systems with dry friction
p. 185-192
Description of the nonwandering set of a periodic system
p. 193-200
Conditions for the existence of selfadjoint extensions of a third-order differential operator
p. 201-204
Application of the axiomatic method for studying differential equations with singularities
p. 205-215
Stability of two-parameter discrete systems with commuting operators
p. 216-224
Optimality conditions in a linear two-parameter differential-difference control system with constraints
p. 225-231
Solution of the a posteriori estimation problem in fuzzy observation systems by means of a fuzzy preference relation
p. 232-237
Numerical solution of supersingular integral equations by a rectangle-type method
p. 238-248
On a modification of a numerical-analytic method for solving two-point boundary value problems for ordinary differential equations
p. 249-255
Representation of solutions of difference equations with a continuous argument
p. 256-264
Difference schemes of increased order of accuracy on nonuniform grids
p. 265-274
Fractional powers of the operator $-|x|^2\Delta$ in $L_p$-spaces
p. 275-276
On the stability of linear differential systems with a small parameter multiplying the derivative
p. 277-279
Instability of nonconstant stationary solutions of reaction and density-dependent diffusion equations in a convex domain
p. 280-282
On the deviations of Demidovich's characteristic exponents of linear diagonal systems under power perturbations
p. 283-284

Sommaire du Fascicule no. 3

The structure of sets of values of lower and upper Bohl exponents of a linear differential system
p. 291-300
An iterative algorithm for the approximate construction of cycles of autonomous systems
p. 301-306
On the stability of some classes of solutions of linear differential systems with small periodic perturbations
p. 307-310
On the absence of unbounded regular solutions of the second-order Emden--Fowler equation
p. 311-316
On the basis property and uniform minimality of systems of root functions of differential operators.~I
p. 317-322
An estimate for the characteristic exponents of the Hill equation with a periodic coefficient
p. 323-327
Malkin estimates for the norm of the Cauchy matrix of a linear differential system
p. 328-334
On rapidly increasing solutions of the generalized Emden--Fowler equation
p. 335-338
On regular operators for linear systems of equations
p. 339-345
On the weighted problem for a second-order elliptic operator with singular coefficients
p. 346-349
An analogue of the Tricomi problem for an equation of mixed type with retarded argument
p. 350-356
An order exact estimate uniform in $\mathbf R^N$ for $N=2$ and $N=3$, for the squares of fundamental functions of a selfadjoint extension in $\mathbf R^N$ of the Schr\"odinger operator with a potential satisfying Kato's condition
p. 357-374
On the theory of the generalized parabolic-hyperbolic heat equation
p. 375-383
On the solvability of the generalized mixed problem
p. 384-388
On the uniqueness of the solution of a three-dimensional boundary value problem for an equation of mixed type
p. 389-393
On the unique solvability of the Tricomi problem for a special domain
p. 394-401
On the Dirichlet problem for a second-order elliptic equation with noncoordinated degeneration of the initial data
p. 402-408
A Tricomi problem with a nonlocal conjugation condition for the generalized Tricomi equation
p. 409-412
Existence and uniqueness of a strong solution of the Darboux problem
p. 413-415
On a problem for the Poisson equation with higher-order normal derivatives on the boundary
p. 416-418
Initial value and boundary value problems with singularities
p. 419-421
The Riemann--Hilbert problem with discontinuous coefficients for the Moisil--Teodorescu system
Properties of the Schr\"odinger operator with a complex-valued potential
p. 423-425
Boundary value problems for partial differential equations with strong degeneration
p. 426-427

Sommaire du Fascicule no. 4

On spectral expansions corresponding to the Liouville operator generated by the Schr\"odinger operator with a uniformly locally summable potential
p. 435-440
Conditions for the existence and uniqueness of solutions of nonlinear boundary value problems for systems of generalized ordinary differential equations
p. 441-449
Generalized Green operator for a linear quasiperiodic problem
p. 450-457
Bifurcations of ``apple'' and ``half-apple'' polycycles in generic two-parameter families
p. 458-469
On the basis property and uniform minimality of systems of root functions of differential operators.~II
p. 470-476
Control systems with an integral invariant
p. 477-483
Second-order equations without moving essentially singular points
p. 484-490
Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. II
p. 491-500
On the theory of controllability and completeness in a Banach space of linear normal systems with constraints on the control
p. 501-508
Stochastic differential equations of a nonlinear quadratic filter
p. 509-513
Explicit form of wave solutions of some partial differential equations
p. 514-517
On a quadratic functional in the Cauchy problem for a first-order loaded operator-differential equation.~II
p. 518-522
A Darboux-type problem for a third-order equation with dominating lowest terms
p. 523-535
Existence of a solution ``in the large'' of an inverse problem of determining a source in a quasilinear equation of parabolic type
p. 536-544
On estimates for second-order spatial derivatives for a parabolic potential of a simple layer
p. 545-549
Transformation of quasilinear one-dimensional diffusion
p. 550-558
On the transcendence of the fifth and sixth Painlev\'e equations
p. 559-561
A periodic problem for a system of equations describing the conductivity of nerve pulses
p. 562-564
The Tricomi problem for an equation of mixed type in a domain whose elliptic part is a half-strip
p. 565-567
On some function series containing roots of a transcendental equation
p. 568-569
On the existence of a class of solutions of systems of differential equations with oscillating coefficients in a Banach space
p. 570-571

Sommaire du Fascicule no. 5

On nonautonomous differential inclusions with a multivalued right-hand side
p. 579-584
On analytic multipoint problems in the plane
p. 585-590
On the basis property and uniform minimality of systems of root functions of differential operators.~III
p. 591-598
An estimate, uniform on the whole line, for the integral of the square of fundamental functions of the Schr\"odinger operator with a matrix potential whose elements are uniformly locally summable
p. 599-605
On the theory of differential equations that arise in the dynamics of systems with friction. I
p. 606-614
On solutions of a second-order linear homogeneous two-term differential inequality with a generalized coefficient
p. 615-619
On the passage to the limit in inverse problems for parabolic equations with the integral overdetermination condition
p. 620-626
On an ordered spectral representation of the space $L_2$ with respect to the Schr\"odinger operator with a singular matrix potential
p. 627-635
Parabolic boundary value problems for systems of pseudo-differential equations in an infinite layer
p. 636-642
On a class of equations that generalize equations of polytropic filtration
p. 643-651
On a domain decomposition method in the solution of problems in mathematical physics
p. 652-660
On Galerkin's finite element method for singularly perturbed parabolic initial-boundary value problems. I. Main result and estimates for the norms of projectors
p. 661-669
Exact and truncated variational schemes in the case of a selfadjoint spectral problem for a fourth-order equation
p. 670-675
The Cauchy problem for a random singular integro-differential equation
p. 676-683
The Poisson difference equation on a curvilinear grid
p. 684-688
Grid approximation of singularly perturbed equations with convective terms in the case of mixed boundary conditions
p. 689-701
On the stability of the Li\'enard equation with unsteady perturbations
p. 702-703
Boundary value problems for quasi-elliptic equations on compact manifolds
p. 704-705
Description of the domain of an ordinary differential operator with generalized potentials
p. 706-707
Distribution of the eigenvalues of the Sturm--Liouville problem on the half-line with complex-valued potential
p. 708-710
On the solvability of an abstract parabolic equation with an operator whose domain depends on time
p. 711-712
On the structure of an integrating factor for a cubic system with a singular point of center type
p. 713-715

Sommaire du Fascicule no. 6

Asymptotic representations of solutions of a class of second-order nonlinear differential equations
p. 723-730
Problems for functional-differential equations with monotone boundary conditions
p. 731-738
Stability of discrete separable Volterra equations
p. 739-746
On the operator of translation along the trajectories of semilinear controlled systems
p. 747-754
Third-order equations without movable essentially singular points. I
p. 755-758
Componentwise estimates for the spectral function of a selfadjoint extension on the line $\mathbf R$ of the Schr\"odinger operator with a matrix potential that satisfies the Kato condition
p. 759-768
On the theory of differential equations that arise in the dynamics of systems with friction. II
p. 769-773
The reflecting function method for boundary value problems
p. 774-779
On the transversal structure of the controllability sets of symmetric control systems
p. 780-783
On the cyclicity of a singular point of a cubic system
p. 784-787
Determination of unsafe and safe boundaries of the domain of stability of equations with delay
p. 788-791
On the localization of spectral expansions of distributions
p. 792-796
Iterative processes of the maximum principle and their modifications in systems with distributed parameters
p. 797-803
The Cauchy problem with initial data on different surfaces for a quasilinear analytic system
p. 804-813
On the solvability of the Cauchy problem for a semilinear equation of Sobolev type with respect to a sectorial operator
p. 814-820
Equations of gas dynamics in momentum and energy Lagrangian variables
p. 821-824
A modified Dirichlet problem for a degenerate elliptic system in a half-space, strip and cylinder
p. 825-829
On the averaging of the biharmonic equation in a domain punctured along manifolds of small dimension
p. 830-842
Solution of a linear-quadratic optimal control problem with fixed ends of the trajectories of the system
p. 843-844
Normal forms of transversally singular quasilinear systems of Sobolev type
p. 845-846
On conditions for the existence of regular Kneser solutions of the generalized Emden--Fowler equation with delay
p. 847-848
Asymptotics of the solution of the spectral problem of neutron transfer in a layer
p. 849-850
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 851-859

Sommaire du Fascicule no. 7

Infinite-dimensional differential equations in distributions with discontinuous functions in the right-hand side
p. 867-874
Componentwise equiconvergence, uniform on the whole line, with the Fourier integral of the spectral expansion corresponding to the Schr\"odinger operator with a matrix potential satisfying the Kato condition
p. 875-879
Partial integrals, integrability and the center problem
p. 880-888
On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. II
p. 889-897
Investigation of the convergence of an iterative process for equations with degenerate operators
p. 898-901
Asymptotic behavior of the solution of the first boundary value problem for the Laplace difference equation in the angle $5\pi/4$
p. 902-911
On Galerkin's finite element method for singularly perturbed parabolic initial-boundary value problems. II. Construction of and estimates for discrete Green functions
p. 912-922
Difference schemes of domain decomposition for nonstationary convection-diffusion problems
p. 923-927
On an adaptive iterative method for realizing implicit difference schemes for the nonlinear multidimensional Schr\"odinger equation
p. 928-934
A nonlinear quasimonotone finite element scheme for solving two-dimensional problems with transfer. A problem on a velocity skin layer
p. 935-942
A criterion for the stability of a two-dimensional difference scheme
p. 943-950
On the convergence, uniform with respect to a small parameter, of a four-point scheme for a one-dimensional stationary convection-diffusion equation
p. 951-957
On the solvability of a variational inequality in the theory of nonlinear nonstationary filtration
p. 958-965
Difference schemes with variable weights for systems of hyperbolic equations
p. 966-975
The use of adaptive grids of irregular structure for computing discontinuous solutions with an improved order of accuracy
p. 976-985
A numerical method for solving a hyperbolic system with singularities
p. 986-989
Center conditions for a system with fifth-order nonlinearities of a special form
p. 990-991
Solutions of a nonautonomous nonlinear functional-differential equation that are representable by series of exponentials
p. 992-994
On limit sets of a multidimensional analogue of a nonlinear logistic difference equation
p. 995-997
Об ограниченных решениях нелинейных сингулярно возмущенных систем
p. 998-999
Spectral expansions of distributions from negative Sobolev classes
p. 1000-1001
On the theory of asymptotic stability
p. 1002-1003

Sommaire du Fascicule no. 8

Optimal control of linear systems with fixed trajectory endpoints and bounded control
p. 1011-1017
On the properties of B\"acklund transformations of Painlev\'e equations
p. 1018-1023
On $L^p$-essential spectra of some classes of nonselfadjoint ordinary differential operators. I.~Operators with sufficiently smooth coefficients
p. 1024-1034
Linear boundary value problems for Noether operator equations with impulse action
p. 1035-1042
Pseudoprolongation
p. 1043-1050
Control of Cordes-type diffusion with incomplete observation and in a game-theoretic problem
p. 1051-1062
On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. I
p. 1063-1070
Local and global properties of solutions of the Cauchy--Dirichlet problem for a second-order quasilinear parabolic equation in an unbounded domain
p. 1071-1077
On the Levi condition for Monge--Amp\`ere equations
p. 1078-1088
On a boundary value problem for the harmonic equation
p. 1089-1092
Solution of a system of integro-functional equations for contact problems with nonlinear friction
p. 1093-1101
On the solvability of an integral equation of fractional order in generalized H\"older classes
p. 1102-1109
On a Neumann problem for an integro-differential equation
p. 1110-1113
Integral equations for the Stefan problem. I
p. 1114-1121
On exact and approximate solutions of a singular integral equation with a Cauchy kernel on an infinite contour
p. 1122-1130
Partial averaging for partial differential inclusions of fractional orders
p. 1131-1133
Synthesis of an optimal control in the problem of minimizing degenerate quadratic functionals for linear systems with delay
p. 1134-1136
Nonlinear integral inequalities of Bihari type that have the recursivity property
p. 1137-1139
The number of limit cycles in dynamical systems close to Hamiltonian systems
p. 1140-1141
О~семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 1142-1147

Sommaire du Fascicule no. 9

Integral duck manifolds in singularly perturbed systems with a double bifurcation point on a slow curve
p. 1155-1161
On $L^p$-essential spectra of some classes of nonselfadjoint ordinary differential operators. II.~Operators with constant coefficients and Euler operators
p. 1162-1170
On the stability of the $k$th general exponent of a linear system of differential equations
p. 1171-1174
Duck trajectories in a problem of combustion theory
p. 1175-1184
Integral equations associated with boundary value problems for the Laplace equation in a plane angle
p. 1185-1191
On the theory of linear integral equations of the third kind
p. 1192-1201
A mixed problem for the Helmholtz equation outside cuts on the plane
p. 1202-1211
A multicomponent alternating direction method for solving stationary problems of mathematical physics. I
p. 1212-1221
Approximation of functions in generalized H\"older spaces, and the approximate solution of singular integral equations
p. 1222-1226
Noether theory and the approximate solution of Wiener-Hopf integro-differential equations with difference and sum kernels
p. 1227-1236
On the integral convergence of an approximate solution of the Prandtl equation to the exact solution
p. 1237-1245
On the construction of statistical solutions of singular integral equations with a random right-hand side
p. 1246-1253
Integral equations for the Stefan problem. II
p. 1254-1258
The mechanical quadrature method for solving weakly singular integral equations with discontinuous coefficients
p. 1259-1264
On the justification of the method of boundary integral equations in the case of domains with nonsmooth boundaries
p. 1265-1271
Justification of the discrete vortex method in the problem of the motion of a finite vortex sheet under analytic initial conditions
p. 1272-1279
On third-order partial differential equations of Painlev\'e type
p. 1280-1282
Asymptotic behavior of the solution of a system of differential equations with a multiple turning point
p. 1283-1285
On the asymptotic properties of the solution of a quasilinear system with delay
p. 1286-1288
Cyclic oscillations in a model of an epidemic process
p. 1289-1290
On a sufficient condition for evasion in direction
p. 1291-1292

Sommaire du Fascicule no. 10

Andre{\v\i} Nikolaevich Tikhonov (on the occasion of the ninetieth anniversary of his birth)
p. 1299-1302
A criterion for the solvability of a multipoint boundary value problem for a system of generalized ordinary differential equations
p. 1303-1311
Discretization of infinite-dimensional linear dynamical systems
p. 1312-1321
Problems for ordinary differential equations with monotone boundary conditions
p. 1322-1330
On the existence of almost periodic solutions of a system of neutral type with delay
p. 1331-1334
Variational problems associated with extremal properties of the first eigenvalue of a problem of Sturm-Liouville type
p. 1335-1340
On the instability of characteristic exponents of linear differential systems under Perron perturbations
p. 1341-1347
On the oscillatory nature of a third-order linear equation
p. 1348-1354
On the stability of periodic contrast structures in the spatially two-dimensional case
p. 1355-1361
On scattering by a cylindrical surface with a narrow crack
p. 1362-1370
On the uniform convergence of spectral expansions corresponding to elliptic pseudodifferential operators of continuous functions in Liouville classes
p. 1371-1375
On the existence of regular solutions to a second-order strongly degenerate elliptic equation
p. 1376-1385
Reduction of the second initial-boundary value problem for the equation of gravitational-gyroscopic waves to a uniquely solvable integral equation
p. 1386-1395
Parabolic variational inequalities without initial conditions
p. 1396-1400
On the character of the damping of displacements in an elastic periodically perforated body with given deformation of the outer boundary under elastic constraints on the boundary of the cavities
p. 1401-1409
Global solvability of the Cauchy problem for a barotropic system in magneto-hydrodynamics
p. 1410-1420
On the smoothness of the solution of a boundary value problem in generalized Nikol'ski{\v\i} classes
p. 1421-1426
Inversion of integral operators by the method of commutation relations
p. 1427-1428
The Goursat problem in four-dimensional space
p. 1429-1430
Asymptotic solution of a second-order differential equation with the variable part of the invariant degenerating to a $\delta$-function
p. 1431-1433
Analytic properties of solutions of a nonlinear equation of $P$-type
p. 1434-1435
Конференция ``Теория и приложения методов малого параметра'', посвященная 90-летию со дня рождения

Sommaire du Fascicule no. 11

Differential gradient systems for solving equilibrium programming problems
p. 1443-1451
A second-order local variational problem for linear optimal control problems with mixed constraints
p. 1452-1456
Qualitative analysis of a population development model
p. 1457-1465
Optimal control problems with mixed constraints
p. 1466-1472
Admissible Lie algebras for some types of affine control systems
p. 1473-1479
On stability in probability of the Lotka--Volterra system
p. 1480-1487
Differential inclusions with strongly one-sided-Lipschitz right-hand sides
p. 1488-1494
Complexes of modules and the theory of realization of linear systems
p. 1495-1498
Cooperative programmed differential games
p. 1499-1505
Universal inputs and controllers
p. 1506-1510
On the asymptotics of solutions of differential equations on complex manifolds
p. 1511-1518
On some problems of the reconstruction of a boundary condition for a parabolic equation. II
p. 1519-1528
The method of differential inequalities for nonlinear singularly perturbed problems with contrast structures of step type in the critical case
p. 1529-1537
The phase space of the initial-boundary value problem for the Oskolkov system
p. 1538-1543
Analytic continuation of solutions of integral equations and localization of singularities
p. 1544-1553
Riemann invariants for a class of partial differential systems
p. 1554-1557
On the asymptotics of the eigenvalues of the monodromy operator of a differential equation of neutral type with periodic coefficients
p. 1558-1560
The Bernoulli equation with generalized coefficients
p. 1561-1562
Pursuit of an invisible moving object
p. 1563-1565
Reduction of nonlinear dynamical systems that have a continuous symmetry group
p. 1566-1568
Removable singular sets of solutions of parabolic inequalities
p. 1569-1571
The principle of localization of spectral expansions
p. 1572-1573
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1574-1579

Sommaire du Fascicule no. 12

On a regularized trace formula for the Sturm--Liouville operator with a bounded operator coefficient and with a singularity
p. 1587-1592
Quasiperiodic perturbations of an oscillator with a cubic restorative force
p. 1593-1598
On the ordered spectral representation of the space $L_2(\mathbf R)$ with respect to the Stark-effect Hamiltonian of regular type.~I
p. 1599-1607
On the Bessel property and the unconditional basis property of systems of root vector functions of the Dirac operator
p. 1608-1617
On the rate of convergence of biorthogonal expansions of functions
p. 1618-1629
Positive solutions of second-order quasilinear differential equations with singular nonlinearities
p. 1630-1637
On the local controllability of differential inclusions with delay
p. 1638-1644
On an exact solution of the time-optimality problem in the case of linear time-independent systems
p. 1645-1652
On an extension of a nonlinear control problem with nonstationary phase constraints
p. 1653-1660
The survival problem for linear control systems with integral constraints
p. 1661-1664
Stability of a linear differential equation with distributed delay
p. 1665-1669
Numerical solution of the convection-diffusion equation with a small ``viscosity'' coefficient
p. 1670-1677
On a class of locally one-dimensional schemes for solving second-order multidimensional hyperbolic equations of arbitrary dimension
p. 1678-1682
On the Rothe and Rothe--Galerkin methods for a quasilinear operator-differential equation
p. 1683-1690
Invariant difference schemes for equations of mathematical physics in nonstationary coordinate systems
p. 1691-1700
Existence of nonregular points in a model of external debt
p. 1701-1702
On a bifurcation of a non-rough focus of a third-order autonomous system
A second-order system of Fuchs type
p. 1704-1706
Center conditions for a six-parameter cubic system
p. 1707-1709
On the realization of partial exponents of solutions of linear differential systems on geometric progressions
p. 1710-1711
Medzhid Lyatifovich Rasulov (on the eightieth anniversary of his birth)
Letter to the editors: ``Stability of isolated stationary points of difference equations with mixed monotonicity of the right-hand side.~I, II'' [Differentsial'nye Uravneniya \textbf{30} (1994), no. 3, 457--466; MR1299619; ibid., no. 9, 1584--1593; MR1347811]