Geodesic

Sommaire du Fascicule no. 1

Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his eightieth birthday)
p. 3-5
Ivan Tarielovich Kiguradze (on the occasion of his sixtieth birthday)
p. 6-11
A trace formula for an equation of the oscillations of a rectilinear pipeline
p. 12-18
On Hilbert and Bessel inequalities for some sine, cosine and exponential systems
p. 19-24
On a nonlocal spectral problem
p. 25-32
On the change of a finite number of elements in a system of root functions of a differential operator without loss of the basis property
p. 33-38
On the eigenvalue problem for the Sturm–Liouville operator with a potential that depends on the spectral parameter
p. 39-47
On the Cauchy problem for evolution singular functional-differential equations
p. 48-59
Vector fields in the direct product of spaces, and applications to differential equations
p. 60-67
The direct Lyapunov method in estimates for the fractal dimension of attractors
p. 68-74
On a theorem of Aronszajn
p. 75-79
On the localization of spectral expansions of distributions in a closed domain
p. 80-82
On properties of generalized solutions of one-dimensional linear parabolic problems with nonsmooth coefficients
p. 83-95
The Schrödinger equation and Feynman dynamics
p. 96-106
Meyer-type estimates for solving the nonlinear Stokes system
p. 107-114
On spectral problems with a spectral parameter in the boundary condition
p. 115-119
Order-sharp estimates for the maxima of moduli of associated functions of the Schrödinger operator
p. 120-129
Analytic solution of a problem of nonstationary convective heat exchange with aftereffect
p. 130-131
Systems of three differential equations that do not have solutions with moving essentially singular points
On conditions for the discreteness of the spectrum for a general pseudo-differential operator
p. 133-135
О семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 136-140

Sommaire du Fascicule no. 2

Linear discrete equations in $F$-spaces and their stability
p. 147-154
Necessary and sufficient conditions for the existence of periodic solutions of linear nonhomogeneous Pfaffian systems
p. 155-157
An integrating factor in a neighborhood of a node
p. 158-160
Necessary conditions for optimality in convex problems of the control of discrete 2-D systems with constraints
p. 161-166
On the optimal control of almost periodic motions under equality and inequality constraints on the means. I
p. 167-176
On the invariance of lower Perron exponents of linear systems with respect to exponentially decreasing perturbations
p. 177-184
Theorems of Conti–Opial type for nonlinear functional-differential equations
p. 185-194
Solution in closed form of a class of linear differential equations of fractional order
p. 195-204
Nonmonotone Lyapunov functionals and estimates for solutions of differential equations with delay
p. 205-211
Stochastic differential inclusions
p. 212-220
On weakly regular linear completely solvable multidimensional equations
p. 221-225
Compatible systems and the control of Lyapunov exponents
p. 226-235
Solution of the center and focus problem for a cubic system of nonlinear oscillations
p. 236-244
The influence of exponentially decreasing perturbations on the Demidovich characteristic exponents of diagonal systems
p. 245-248
On the regularization of singular optimal control problems for linear equations with selfadjoint operators
p. 249-256
On the Cauchy problem for a first-order quasilinear equation on a manifold
p. 257-266
Conditions for the Volterra property of an operator generated by the Cauchy problem for a partial differential equation
p. 267-274
On solutions, bounded on the semi-axis, of nonlinear differential systems
p. 275-277
Reduction of linear one-dimensional differential and integro-differential equations to Volterra equations of the second kind
p. 278-280
An estimate for the fundamental matrix of singularly perturbed functional-differential equations and some of its applications
p. 281-283

Sommaire du Fascicule no. 3

Summation of regularized traces of the singular Sturm–Liouville operator
p. 291-295
On differential equations of the Fuchs class associated with the conformal mapping of circular polygons in polar grids
p. 296-301
Explicit solution of a linear ordinary differential equation and a basic property of the exponential function
p. 302-308
Bounded and periodic solutions of the Riccati operator equation with an unbounded operator
p. 309-315
On the optimal control of almost periodic motions under equality and inequality constraints on the means. II
p. 316-323
Spectral expansions that correspond to the Liouville operator generated by the Schrödinger operator with a matrix potential satisfying the Kato condition
p. 324-328
Algorithms for the inversion of linear scalar dynamical systems: the controlled model method
p. 329-339
Approximation of a linear stabilization set
p. 340-346
On first integrals of functional-differential equations
p. 347-350
On the ordered spectral representation of the space $L_2(\mathbf R)$ with respect to the Stark-effect Hamiltonian of regular type. II
p. 351-357
On the Hausdorff–Young inequality for systems of root vector functions of an $n$th order differential operator
p. 358-367
Stability in problems of mechanics
p. 368-372
An estimate for the remainder term in the Wiman–Valiron relation and its application
p. 373-376
On bifurcations of periodic motions near a structurally unstable homoclinic curve
p. 377-384
On the change in the number of discontinuity points of singular periodic solutions
p. 385-389
An inverse problem for systems of differential equations with nonlinear dependence on the spectral parameter
p. 390-395
Iterative methods for solving filtration problems with a discontinuous law with a limit gradient
p. 396-399
Methods for solving singular integral equations with positive operators
p. 400-409
Difference schemes of a high-order of accuracy for degenerate systems of differential equations on nonuniform grids
p. 410-415
On a third-order system with a cubic nonlinearity
p. 416-417
On the structure of the minimal global attractor of multidimensional systems with a unique equilibrium position
p. 418-420
A uniqueness theorem for the solution of inverse problems in spectral analysis
p. 421-422
Sufficient conditions for the stability of stochastic systems
p. 423-424
On the justification of the Galerkin method for noncoercive elliptic equations with a monotone nonlinearity
p. 425-427

Sommaire du Fascicule no. 4

Nikolaǐ Viktorovich Azbelev (on the occasion of his seventy-fifth birthday)
p. 435-439
Bifurcations of periodic motions in systems with a homoclinic saddle-focus loop
p. 440-447
The averaging method in the theory of stability of functional-differential equations
p. 448-457
On Fourier transforms of functions from the Sobolev–Liouville class for the Schrödinger operator with a measurable and bounded potential
p. 458-461
On the local controllability of discrete systems
p. 462-469
Asymptotics of the eigenvalues for a boundary value problem with $\delta$-like coefficients
p. 470-477
On the optimal control of almost periodic motions under equality and inequality constraints on the means. III
p. 478-485
Application of symbolic dynamics to verify the transversality condition
p. 486-494
Local controllability of characteristic Lyapunov exponents of systems with simple exponents
p. 495-499
On a Riemann–Hilbert problem for a vector that is holomorphic in an infinite cylinder
p. 500-505
An initial-boundary value problem for a quasilinear wave equation in a space
p. 506-509
Stabilization of the solution of the Dirichlet problem for an elliptic equation in a Banach space
p. 510-514
Investigation of the well-posedness of the generalized solution of the filtration consolidation problem
p. 515-521
Cordes conditions and some alternative conditions for parabolic equations and Itô equations with discontinuous diffusions
p. 522-531
Reinforced Sobolev spaces and some new types of elliptic boundary value problems. I
p. 532-539
Investigation of quasi-singular processes in a problem of the control of a chemical reactor
p. 540-546
Stability of systems of difference equations with single internal resonance
p. 547-551
On a model of the motion of an incompressible viscoelastic Kelvin–Voigt fluid of nonzero order
p. 552-557
On the stability of the Cauchy problem for quasilinear normal partial differential systems
p. 558-559
On the Cauchy problem for a second-order degenerate equation
p. 560-562
О почти периодическом решении линейной сингулярно возмущенной системы
Estimates for spectral expansions of the eigenvectors of some classes of perturbed differential operators
p. 564-566
The heat equation with a singular potential
p. 567-569
Uniqueness and stability of the solution of a problem with a directional derivative for a second-order equation of elliptic type
p. 570-572

Sommaire du Fascicule no. 5

Nikolaǐ Pavlovich Erugin (on the ninetieth anniversary of his birth)
p. 579-582
On the stability of the equilibrium state in a case of periodic perturbation of the center
p. 583-586
On the asymptotic behavior of the degenerate solution of the second Painlevé equation
p. 587-594
Local properties of plane homoclinic structures, and Hausdorff dimension
p. 595-601
On the existence of a quasilinear system with a countable set of Bohl exponents
p. 602-605
Controllability of linear discrete systems in $F$-spaces
p. 606-613
On a general representation of solutions of the Painlevé equations
p. 614-617
Algebraic differential equations with an integrating factor of Darboux type
p. 618-622
On a lower exponent of a two-dimensional linear system with Perron perturbations
p. 623-631
On the asymptotic perturbation of a nonlinear center
p. 632-637
Theoretical and experimental analysis of the buffer phenomenon in a long line with a tunnel diode
p. 638-645
On systems of ordinary differential equations and differential inequalities with multipoint boundary conditions
p. 646-652
On boundedness conditions for characteristic sets of solutions of linear multidimensional equations
p. 653-657
Dissipativity and degeneration conditions in the ecological HHW-model
p. 658-663
Dependence of the Bellman function on a parameter for two-dimensional control systems
p. 664-671
Some properties of weakly hyperbolic invariant sets
p. 672-677
On conditions for the absence of rapidly increasing solutions of the Emden–Fowler equation
p. 678-683
On the properties of matritsants that affect the regularity of linear extensions of dynamical systems on a torus
p. 684-688
The Dulac function for polynomial autonomous systems on a plane
p. 689-699
On limit and separatrix cycles of a quasiquadratic system
p. 700-701
The dimension of the closure of an almost periodic trajectory of a periodic system of differential equations
p. 702-703
A frequency criterion for the boundedness of solutions of a class of linear systems
p. 704-706
The Riccati equation and special third-order systems without moving critical points
p. 707-708
Investigation of a linear system on a plane
p. 709-711
Perturbation of heteroclinic cycles that contain saddle-foci
p. 712-713
Necessary and sufficient conditions for the existence of singular periodic solutions
p. 714-715

Sommaire du Fascicule no. 6

Ivan Vasil'evich Gaǐshun (on the occasion of his fiftieth birthday)
p. 723-729
Anatoliǐ Platonovich Prudnikov (on the occasion of his seventieth birthday)
p. 730-736
On the absence of periodic solutions of the equation $z'(t)=z^2+h(t)$
p. 737-740
On the connection between the generalized Fourier transforms corresponding to the one-dimensional Schrödinger operator and the order of integrability $p$, $1\le p2$, of the expanded function
p. 741-747
On stability in the large of systems with impulse action
p. 748-753
An estimate, uniform on the whole line $\mathbf R$, for the rate of convergence of a spectral expansion corresponding to the Schrödinger operator with a potential from the Kato class
p. 754-761
Investigation of a global scheme for a dynamical system by the methods of symbolic dynamics
p. 762-767
On the structure of attainability sets of affine systems
p. 768-775
Theorems on the existence of symmetric active equilibria in noncooperative programmed differential games
p. 776-781
Averaging of a controlled differential inclusion
p. 782-785
On a class of quasilinear differential pursuit games
p. 786-794
Nonlocal pseudo-differential operators: index and Lefschetz numbers
p. 795-799
Higher-order regularized traces of the Laplace operator with a potential on symmetric spaces of rank $1$
p. 800-804
Dynamic properties of the simplest finite-difference approximations of the “reaction-diffusion” boundary value problem
p. 805-811
Asymptotic behavior of the solution of a system of Davey–Stewartson II equations in the soliton-free case
p. 812-819
On the development of the Marangoni boundary layer from a braking point
p. 820-826
Nonlocal boundary value problems for pseudodifferential and operator-differential equations. I
p. 827-836
On solutions of a strongly degenerate elliptic system with variable coefficients
p. 837-842
On an inequality in inverse problems of spectral analysis
p. 843-844
Classes of exactly solvable degenerate systems of universal nonlinear partial differential equations
p. 845-846
An elliptic equation with a small parameter multiplying the highest derivatives that is degenerate on the boundary of the domain
p. 847-848
О семинаре по качественной теории дифференциальных уравнений в Московском университете
p. 849-860

Sommaire du Fascicule no. 7

Application of the abstract theory of perturbations to the investigation of essential spectra of ordinary differential operators in $L^p$
p. 867-875
On the equivalence of differential inclusions and controlled almost periodic systems
p. 876-884
On the theory of the Cauchy problem for an ordinary differential equation with discontinuities with respect to the space variables
p. 885-891
A mathematical model of the hemodynamics of a cardio-vascular system
p. 892-898
On an iterative domain decomposition method for solving problems of mathematical physics. I
p. 899-908
On three-layer locally one-dimensional difference schemes for second-order hyperbolic equations of arbitrary dimension
p. 909-913
Point-source functions for the Laplace difference operator in the angle $5\pi/4$
p. 914-922
Mathematical modeling of heat transfer under the interaction of a molten particle with the surface
p. 923-926
Multicomponent iterative methods of decomposition type for two-dimensional stationary problems of dissipative transfer
p. 927-933
On the method of point markers in problems of hemodynamics
p. 934-940
On a variant of the multicomponent alternating direction method for solving a system of equations in elasticity
p. 941-945
Stability of a difference problem for a system of parabolic equations with nonstandard boundary conditions
p. 946-954
A two-sided functional-discrete method for solving boundary value problems for second-order ordinary differential equations
p. 955-962
On the accuracy, uniform with respect to the small parameter, of a modified Samarskiǐ scheme for a singularly perturbed equation
p. 963-966
Factorized domain decomposition difference schemes for convection-diffusion problems
p. 967-974
Difference schemes on time-adaptive grids for parabolic equations with generalized solutions
p. 975-984
The spline-collocation method for a class of boundary value problems with deviating arguments
p. 985-992
Energy-consistent conservative schemes for the transport equation
p. 993-994
On general boundary value problems for some classes of pseudodifferential equations in the quarter plane
p. 995-997
A multicomponent variant of the method of variable directions for evolution problems. II
p. 998-1000
A frequency criterion for smoothness, with respect to the parameters, of solutions of a class of linear systems
On the solution of the problem of analytic construction of optimal controllers
p. 1002-1003

Sommaire du Fascicule no. 8

Convergence of the normalizing transformation in the critical case when two zero roots of the characteristic equation have a nonprime elementary divisor
p. 1011-1016
An analogue of the Riesz–Fischer theorem for the Fourier transforms corresponding to a one-dimensional Schrödinger operator with measurable and bounded potential
p. 1017-1022
On optimal trajectories of differential inclusions with delay
p. 1023-1029
A generalization of a theorem of A. N. Tikhonov for quasidifferential equations
p. 1030-1034
On an exact solution of the time-optimality problem in the case of linear time-independent systems with a real spectrum
p. 1035-1040
On the Cauchy problem for differential equations with Mroz hysteresis nonlinearity
p. 1041-1048
Branching of terms for the one-dimensional Schrödinger equation
p. 1049-1056
On the Dirichlet problem for a second-order vector ordinary differential equation
p. 1057-1068
The Poincaré problem for second-order elliptic systems on a plane in Hardy-type classes
p. 1069-1075
Differential equations of infinite order with subordinate terms
p. 1076-1084
Behavior of solutions of the Cauchy problem for weakly nonlinear elliptic nondivergence equations in a neighborhood of a conical point of the boundary
p. 1085-1094
A nonlinear inverse problem of the simultaneous reconstruction of the evolution of two coefficients in Navier–Stokes equations. II
p. 1095-1100
On the set of limit functions for solutions of the nonstationary exterior Stokes problem
p. 1101-1105
Equations of a magnetohydrodynamic boundary layer with diffraction conditions
p. 1106-1113
Optimal control of a nonlinear singular system with a fixed terminal state
p. 1114-1117
On a class of strongly elliptic systems
p. 1118-1122
Analytic continuation of fundamental solutions of elliptic equations
p. 1123-1133
Complex powers of second-order hypoelliptic operators with constant coefficients in $L_p$-spaces
p. 1134-1135
Dirichlet and Neumann problems for some classes of pseudodifferential equations in the quarter plane
p. 1136-1138
The Green function of the first boundary value problem for a parabolic equation in domains with curvilinear lateral boundaries
p. 1139-1140
О семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 1141-1146
Международная конференция, посвященная 90-летию со дня рождения Л. С. Понтрягина
p. 1147-1148

Sommaire du Fascicule no. 9

Optimal methods for solving some classes of integral equations
p. 1155-1166
Integral operators of potential type associated with elliptic problems in nonsmooth domains
p. 1167-1173
Application of the method of boundary integral equations for determining the boundary-layer asymptotics of the solution of a nonlinear singularly perturbed boundary value problem of heat conduction
p. 1174-1180
A mixed problem for the Laplace equation outside cuts on the plane
p. 1181-1190
Boundary equations in problems of nonstationary diffraction of electromagnetic waves
p. 1191-1198
Regularization of singularly perturbed integral equations with rapidly varying kernels and their asymptotics
p. 1199-1210
A multicomponent alternating direction method for solving stationary problems of mathematical physics. II
p. 1211-1219
On the theory of solvability and approximate solution of infinite Wiener–Hopf systems with difference and sum indices
p. 1220-1226
Numerical solution of boundary integral equations by reduction to a problem with a finite nonabelian symmetry group
p. 1227-1232
Numerical solution of supersingular integral equations with additional terms containing smooth kernels
p. 1233-1241
On the construction of an approximate solution of a nonlinear integral equation of permeable profile
p. 1242-1252
On an approximate solution of integral equations with a strong singularity in the kernel
p. 1253-1259
On the superconvergence of the spline collocation method for solving nonlinear two-dimensional weakly singular integral equations
p. 1260-1267
Justification of the numerical method of discrete vortices for Euler equations in a domain with a boundary
p. 1268-1277
A direct method for solving a system of singular equations with a Cauchy kernel
p. 1278-1287
Multicontour problems for partial differential equations in spaces of constant curvature
p. 1288-1290
A method for solving interior problems of electrodynamics
p. 1291-1292

Sommaire du Fascicule no. 10

Spectral analysis of linear differential operators, and semigroups of difference operators. I
p. 1299-1306
An estimate for the number of compact leaves of foliations defined by differential equations
p. 1307-1311
Oscillatory properties of solutions of systems of second-order differential equations with deviating arguments
p. 1312-1320
A lower bound for the Fourier images in the system of fundamental functions of the one-dimensional Schrödinger operator with a summable potential
p. 1321-1328
An iterative method for solving systems of quasidifferential equations with slow and fast variables
p. 1329-1333
On the dependence of the controllability set on the target point
p. 1334-1338
Application of quasidifferential equations to the description of discontinuous processes
p. 1339-1348
Sufficient conditions for the stability of linear systems with constant coefficients in critical cases
p. 1349-1357
On the positive invertibility of some boundary value problems for a fourth-order equation
p. 1358-1365
Resurgent equations and quasiclassical asymptotics
p. 1366-1373
On estimates for the solution of a model conjugation problem in the theory of problems with a free boundary
p. 1374-1381
On the best extension of a periodic function and on the corresponding boundary value problem
p. 1382-1393
Second-order hyperbolic differential equations with discontinuous operator coefficients
p. 1394-1403
On the weak maximum principle for an elliptic equation on a two-dimensional cellular complex
p. 1404-1409
The Cauchy problem for a class of higher-order linear equations of Sobolev type
p. 1410-1418
On the invertibility of linear partial differential equations in some function spaces on $\mathbf R^n$
p. 1419-1425
Systems of differential equations with two turn points
p. 1426-1428
Generalization of the Hörmander inequality and the uniqueness of the solution of the Cauchy problem for linear partial differential equations with multiple characteristics
p. 1429-1431
On the stability of complex systems with respect to nonlinear approximation
p. 1432-1434
A second-degree polynomial Dulac function for a cubic system on the plane
p. 1435-1436

Sommaire du Fascicule no. 11

Synthesis of a time-optimal control in linear systems
p. 1443-1450
The method of splitting differential gradient equations for extremal inclusions
p. 1451-1461
Optimality conditions of Kelly–Kopp–Moyer type
p. 1462-1469
On a property of stable systems
p. 1470-1473
Estimates for the stabilizability domains of nonlinear systems
p. 1474-1483
Theorems on the existence and uniqueness of an optimal control for the canonical Dubovitskiǐ–Milyutin problem
p. 1484-1489
On control systems that admit Lie algebras with the $L$-property
p. 1490-1494
On the stability of some stochastic equations of Volterra type
p. 1495-1501
On a differential game with incomplete information
p. 1502-1506
On pointwise-degenerate systems with deviating argument
p. 1507-1515
On the sum of squares of vector fields
p. 1516-1522
Complete equilibrium in noncooperative programmed differential games
p. 1523-1527
The program iteration method in the class of finitely additive control measures
p. 1528-1536
A singularly perturbed integral equation with a degenerate kernel
p. 1537-1542
A condition for the solvability of a Kneser-type integral equation and its adjoint equation
p. 1543-1546
On a discretization scheme for Fredholm equations of the first kind
p. 1547-1551
Asymptotic behavior of the solution of a boundary value problem for an elliptic equation
p. 1552-1554
The grid domain decomposition method in the solution of nonlinear problems in mathematical physics
p. 1555-1556
Some topical problems in the theory of differential games
p. 1557-1558
A Fuchsian system with four singular points and its application
p. 1559-1562
The Galerkin method and the collocation method for solving singular integral equations on the real axis in the exceptional case
p. 1563-1565
An integral equation of convolution type with an exponential in the kernel
p. 1566-1567
Erratum to: “Generalized Carathéodory existence theorems for a system of ordinary differential equations” [Differentsial'nye Uravneniya 31 (1995),  6, 1098–1099, 1104; MR1383943] by È. G. Shifrin
О семинаре по качественной теории дифференциальных уравнений в Московском университете
p. 1569-1578
Вторая международная конференция “Конечно-разностные методы: теория и приложения”

Sommaire du Fascicule no. 12

Irregular points in a two-sector economic model of foreign debt
p. 1587-1591
Computation of the exponents of solutions of linear differential systems from time geometric progressions
p. 1592-1600
Grassmann manifolds and pairs of linear relations in the theory of descriptor dynamical systems
p. 1601-1606
Discrete equations with variable structure and the stability of their solutions
p. 1607-1614
The problem of the control of a discrete-continuous 2D system with intermediate constraints
p. 1615-1622
On the existence of linear Pfaffian systems whose set of lower characteristic vectors has a positive plane measure
p. 1623-1630
A variational maximum principle for discontinuous trajectories of unbounded asymptotically linear control systems
p. 1631-1638
Necessary and sufficient conditions for the existence of boundaries of the equilibrium set in antagonistic differential games
p. 1639-1650
The Harnack inequality and the Hölder property of solutions of nonlinear elliptic equations with a nonstandard growth condition
p. 1651-1660
Generalized solutions of first-order, normal elliptic systems and their estimates
p. 1661-1669
On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. II
p. 1670-1675
Nontrivial solutions of boundary value problems with strong nonlinearities
p. 1676-1682
A boundary value problem for a third-order Mangeron equation
p. 1683-1690
On an identification problem for the nonlinear Schrödinger equation
p. 1691-1698
A decomposition method for solving first-order hyperbolic systems
p. 1699-1701
An existence theorem in an inverse problem of spectral analysis
p. 1702-1703
The structure of the solution of a partial differential equation
p. 1704-1705
О решениях краевых задач для линейных сингулярно возмущенных систем на бесконечном интервале
p. 1706-1707
Èduard Iosifovich Grudo
p. 1708-1713