Geodesic

Sommaire du Fascicule no. 1

О~цикле работ по спектральной теории дифференциальных операторов
p. 3-4
On regularized traces of an even-order differential equation with an unbounded operator coefficient
p. 5-14
The basis property of a system of exponentials with shift
p. 15-19
A necessary condition for the Riesz basis property of systems of root functions of an ordinary nonselfadjoint differential operator
p. 20-29
Some properties of root vector functions of a higher-order operator
p. 30-40
On sharpening an asymptotic theorem of Tamarkin
p. 41-49
Regularized traces of higher-order elliptic operators
p. 50-53
On a boundary value problem. I
p. 54-60
Regularized higher-order traces for a harmonic oscillator
p. 61-63
Representation and estimates of root functions of singular differential operators on an interval. II
p. 64-73
On the basis property of systems of nonregular root vectors of higher-order differential operators
p. 74-86
Necessary conditions for satisfying a Hilbert-type inequality for an arbitrary radial function in a system of eigenfunctions of the Laplace operator
p. 87-94
On the eigenvalue problem for equations of mixed type
p. 95-103
Solvability of a boundary value problem by means of the spectral method
p. 103-115
A condition for the basis of summation by the Abel method of series in root vectors of the nonselfadjoint Sturm--Liouville operator
p. 116-117
An estimate for the difference of partial sums of spectral expansions of an absolutely continuous function that correspond to two one-dimensional Schr\"odinger operators with complex-valued potentials in the class $L_p$, for $p>1$
p. 118-127
On the problem of the reconstruction of the potential in the Schr\"odinger operator on the line by means of the Born approximation
p. 128-138
Distribution of the eigenvalues of the Sturm--Liouville operator in the Dirichlet problem for a truncated wedge
p. 139-144
A Hilbert-type inequality in a system of eigen- and associated functions of an even-order differential operator
p. 145-155
A Dirac-type system with variable coefficients
p. 156-164
An existence theorem for the solution of a quasilinear boundary value problem on a semi-infinite interval
p. 165-167
Approximation of the solution of an initial-value problem
p. 168-169
On the complete global controllability of linear systems with aftereffects under restrictions on control
p. 170-171
On the solution of boundary value problems for a filtration equation with an arbitrary integrable coefficient $P(y)$
p. 172-174
On the dissipativity of random processes determined by some nonlinear second-order differential equations
p. 175-176
Avenir Arkad'evich Voronov
p. 177-178

Sommaire du Fascicule no. 2

Vasili{\v\i} Sergeevich Vladimirov (on the occasion of his seventieth birthday)
p. 187-195
The stability of linear systems with aftereffect. IV
p. 196-204
Some properties of solutions of differential equations with constant coefficients
p. 205-218
Parametric criteria for functional observability and functional attainability of differential-difference systems
p. 219-225
Limit cycles of a cubic system of nonlinear oscillations
p. 226-231
On the distribution of zeros of a nonlinear system
p. 232-239
On the number of singular points of the second group of a cubic system
p. 240-245
Investigation of systems with homogeneous cubic nonlinearities that have a focus and a center
p. 246-255
Asymptotic behavior of the general solution of a linear singularly perturbed system with two small parameters
p. 256-266
The Dirichlet problem for some quasilinear degenerate elliptic equations in unbounded domains
p. 267-273
A nonlocal boundary value problem in the two-dimensional stationary theory of elasticity
p. 274-280
Periodic boundary value problems for linear hyperbolic equations. I
p. 281-297
Solutions of weakly nonlinear elliptic equations in a neighborhood of a conic point of the boundary
p. 298-305
Asymptotic behavior, for large time values, of the solutions of the Korteweg--de Vries equation with dissipation
p. 306-319
A general approach to the solution of classical boundary value problems for polyanalytic functions and their generalizations
p. 320-327
On a system of equations of a magnetohydrodynamic boundary layer of a dilatant medium
p. 328-336
Cauchy problems for equations of magnetogasdynamics
p. 337-348
The ``dead zone'' theorem for a weakly degenerate quasilinear elliptic equation
p. 349-352
On the theory of the Chazy equation
p. 353-357
Contribution to the theory of optimum control and filtration for linear stochastic discrete systems
p. 358-360
Controllability of two- and three-dimensional bilinear systems in the positive orthant
p. 361-363

Sommaire du Fascicule no. 3

On an analytic nonlinear periodic problem
p. 371-380
Nonlinear phenomena in nonstationary processes described by asymptotically linear equations
p. 381-391
On equations with noncompact indefinite operators
p. 392-401
On the behavior of solutions of a mixed initial-boundary value problem for an equation of non-Newtonian polytropic filtration
p. 402-413
On the ``dead zone'' for semilinear degenerate elliptic inequalities
p. 414-423
Conditions for the solvability of the first boundary value problem for the parabolic equation $F(t,x,u,u_x,\Delta u,u_t)=0$
p. 424-434
Resonance-ill-posed problems and their regularization
p. 435-447
Vortex ill-posedness of the equations of an ideal gas and its regularization
p. 448-460
The Stefan problem with surface tension as a limit of the phase field model
p. 461-471
Sharp a priori estimates for some quasilinear elliptic equations
p. 472-486
Asymptotic solutions of a phase field system
p. 487-500
Higher-order quasilinear parabolic equations with H\"older solutions
p. 501-514
Fatou's theorem for solutions of second-order quasilinear parabolic equations
p. 515-522
Global solutions of nonlinear Schr\"odinger equations with variable coefficients in exterior domains of a three-dimensional space
p. 523-536
Dynamics of the geometry of the support of the generalized solution of a higher-order quasilinear parabolic equation in divergence form
p. 537-547

Sommaire du Fascicule no. 4

A constructive method for solving a controllability problem for ordinary differential equations
p. 555-567
On a class of operators in the space of continuous functions on a locally compact commutative group
p. 568-574
Coordinate-wise estimates for the reachability set of a dynamical system
p. 575-584
An algorithm for the asymptotic solution of a singularly perturbed nonlinear time-optimality problem
p. 585-596
Generalized eigenvalue problems, stationary regimes and regimes with peaking of some strongly nonlinear nonstationary processes
p. 597-609
Adaptive integro-differential algorithms for the stochastic optimization of dynamical systems
p. 610-616
Inhomogeneous problems for an odd-order loaded evolution equation with interior boundary conditions
p. 617-626
Asymptotic behavior of solutions of nonlinear elliptic systems at infinity
p. 627-636
Periodic boundary value problems for linear hyperbolic equations. II
p. 637-645
Existence and nonexistence of a global solution of some nonlinear elliptic-parabolic equations
p. 646-661
A quadratic root of a selfadjoint operator, and the Cauchy problem for elliptic-type equations
p. 662-672
A class of difference schemes for the solution of Navier--Stokes equations.~II
p. 673-688
Adaptive methods for the numerical solution of stiff systems
p. 689-699
Conservative difference schemes for second-order parabolic and hyperbolic equations in subdomains
p. 700-710
Higher order matrix linear differential equations
p. 711-714
Algebraic approach to the study of stability of Cauchy problem for Fedorov systems of partial differential equations
p. 715-716
Theorems on the stability of motion and examples
p. 717-718
The differentiability with respect to the initial conditions of a solution to a differential inclusion with delay
p. 719-720
Управляемость нелинейных систем при наличии ограничений
p. 721-722
Criteria for risky and safe bounds for discrete systems
p. 723-724
Periodic solutions of differential inclusions with monotonous operators
p. 725-727
On the Kukles and Cherkas center conditions for a cubic system
p. 728-730
Letter to the editors: ``A formula for the first regularized trace of a power of the Laplace operator on a triangle'' [Differentsial'nye Uravneniya \textbf{28} (1992), no.~7, 1274--1276, 1288] by Dubrovski{\v\i} and E.\,Yu.~Kunakova

Sommaire du Fascicule no. 5

Strong isochronism of the center of dynamical systems with second-degree polynomials
p. 739-743
Solvability of problems with monotone boundary conditions
p. 744-750
Asymptotic behavior of the solution of a stationary system with delay
p. 751-758
On the rolling of a rigid surface with respect to two directrices
p. 759-765
A criterion for the existence of and estimates for invariant bounded sets of a system of autonomous differential equations
p. 766-772
Distribution of the eigenvalues of singular differential operators on an interval
p. 773-779
An analogue of the Hopf bifurcation theorem in a problem on the mathematical investigation of a nonlinear panel flutter with a small damping coefficient
p. 780-785
Specific smoothness of solutions of singularly perturbed problems
p. 786-794
On the investigation of the stability of evolution equations by means of Lyapunov functionals
p. 795-798
Almost periodic impulse systems
p. 799-808
An analogue of the Darboux problem for the two-dimensional wave equation. II
p. 809-817
First-order complex elliptic systems
p. 818-832
Singularly perturbed systems of reaction-diffusion-transport type
p. 833-845
Models generated by Yang--Mills equations
p. 846-851
On the asymptotics of the spectral function of selfadjoint pseudodifferential operators
p. 852-858
Asymptotic problems related to a second-order parabolic equation in nondivergence form with randomly homogeneous coefficients
p. 859-869
A criterion for the strong solvability of the Tricomi problem for the Lavrent'ev--Bitsadze equation. The general case
p. 870-875
Uniqueness of the solution of the Frankl' problem, and some problems in the theory of generalized analytic functions
p. 876-884
On the solvability of mixed-contact problems in two-dimensional elasticity theory
p. 885-889
Regular solvability of a nonclassical boundary value problem
p. 890-901
A nonlocal boundary value problem for elliptic-parabolic equations
p. 902-904
On a problem of A.\,N.~Tikhonov in a semibounded domain
p. 905-907
On the smoothness of the parabolic potential of a simple layer
p. 908-909
On the calculation of Lyapunov quantities in the case of two purely imaginary roots
p. 910-912
Conditions for the existence of the Jacobi last factor of a special type
p. 913-915

Sommaire du Fascicule no. 6

Local structure and smoothness on a torus that obstructs quasiminimalities
p. 923-926
Continuability of the trajectories of control systems and the boundedness of the integral funnel
p. 927-932
Movable singularities of a nonlinear equation
p. 933-937
Solutions with a prescribed minimum and maximum
p. 938-942
Two optimization problems for nonlinear periodic control systems with aftereffect
p. 943-951
On a boundary value problem. II
p. 952-960
A criterion for the output controllability of linear autonomous functional-differential equations
p. 961-969
Dependence of the solutions of a linear system of differential equations on a parameter
p. 970-975
Conditions for the existence of algebraic solutions for a first-order nonlinear differential equation
p. 976-981
Different orders of growth of normalized eigenfunctions of the Sturm--Liouville problem with continuous weight
p. 982-989
Analysis of the phase portrait of the generalized Kuramoto--Sivashinski{\v\i} equation
p. 990-998
Quasilinear degenerate parabolic equations with singular lowest terms and growing initial data
p. 999-1009
Asymptotics of a double integral of Fourier type in the theory of soliton perturbation
p. 1010-1024
Isolated singularities of the solutions of equations of Emden--Fowler type
p. 1025-1038
Continuity on the boundary of a nonsmooth domain of the generalized solution of the Dirichlet problem for Navier--Stokes equations
p. 1039-1047
On an analogue, discrete with respect to the time variable, of a general boundary value problem for partial differential equations in a half-space
p. 1048-1056
Strong isochronism of the center of dynamical systems with incomplete polynomials of the third degree
p. 1057-1060
A frequency criterion for the orbital stability of limit cycles of the second kind
p. 1061-1063
Entire transcendent solutions to algebraic differential systems
p. 1064-1066
B\"acklund transformations of nonlinear equations
p. 1067-1068
Classes of systems of three differential equations that do not have solutions with indeterminate components
p. 1069-1070
On the asymptotic behavior for large time values of the solutions of nonlinear equations in the case of maximal order
p. 1071-1074
On the classical solution of a mixed problem for a one-dimensional hyperbolic equation of even order
p. 1075-1077
Some properties of the spaces $W^{(B_1,\dots,B_k)}(\Omega)$ with integro-differential characteristics
p. 1078-1081
Finitely additive measures in the time-optimality problem
p. 1082-1084
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 1085-1097

Sommaire du Fascicule no. 7

Efficient iterative methods for solving multidimensional problems in mathematical physics. I
p. 1107-1116
Difference schemes of the multicomponent method of variable directions for elliptic equations in domains of complex form
p. 1117-1123
An investigation of new iterative methods for solving multidimensional elliptic equations
p. 1124-1129
A method for the numerical solution of the single-phase Stefan problem on an adaptive grid of variable structure
p. 1130-1136
On the analysis of the accuracy of linear triangular elements for problems in the theory of elasticity with singularities of crack type
p. 1137-1143
The collocation method for linear singularly perturbed boundary value problems on nonuniform grids
p. 1144-1155
Conservative difference schemes with improved dispersion properties for nonlinear equations of Schr\"odinger type
p. 1156-1162
On the stability of a class of difference schemes
p. 1163-1173
A method for the regularization of multicomponent difference schemes
p. 1174-1178
The adaptive grid method in one-dimensional nonstationary convection-diffusion problems
p. 1179-1192
Efficient difference schemes for nonlinear evolution equations
p. 1193-1199
Adaptation of the time grid for difference schemes for the solution of equations in mathematical physics
p. 1200-1209
Estimates for the accuracy of schemes of the finite element method for second-order degenerate elliptic equations
p. 1210-1215
Spectral properties of the Laplace difference operator on a hexagonal grid, and some of their applications
p. 1216-1221
Conservative difference schemes for quasilinear parabolic equations in subdomains
p. 1222-1231
Calculation of matrices of difference schemes for one-dimensional integral equations in potential theory
p. 1232-1243
Regularized three-layer difference schemes with nonselfadjoint operators
p. 1244-1251
Projection-difference approximations for variational problems of pyroelectricity. I. Formulation of problems and the analysis of steady forced oscillations
p. 1252-1260
On the integral Kontorovich--Lebedev representation
p. 1261-1271
Integral equations and convolutions associated with transformations of Kontorovich--Lebedev type
p. 1272-1284

Sommaire du Fascicule no. 8

Alekse{\v\i} Alekseevich Dezin (on the occasion of his seventieth birthday)
p. 1291-1294
Ivan Aleksandrovich Kipriyanov (on the occasion of his seventieth birthday)
p. 1295-1300
On the stability of nonlinear systems with a small parameter
p. 1301-1307
On the stability of solutions of systems of ordinary differential equations of a certain class
p. 1308-1316
Backward continuation of solutions of a linear differential equation with delay as an ill-posed problem
p. 1317-1323
On the stability of the asymptotic properties of solutions of an equation with delay
p. 1324-1329
Some global results for fourth-order nonlinear spectral Sturm--Liouville problems
p. 1330-1339
Steady-state regimes in an autonomous system with a discontinuity and delay
p. 1340-1346
On the problem of the diffraction of a plane acoustic wave by a triaxial ellipsoid
p. 1347-1357
Investigation of boundary value problems for canonical first-order systems
p. 1358-1369
Solution of the biharmonic equation in the complex space $\mathbf C^2$
p. 1370-1379
Boundary value problems for operator-differential equations of odd order, and loaded equations
p. 1380-1389
Asymptotic behavior of the solution of a system of singularly perturbed equations of ``reaction-diffusion-transport'' type
p. 1390-1399
Asymptotic behavior of periodic solutions of a class of operator-differential equations
p. 1400-1407
On the Tricomi problem with generalized gluing conditions for a system of equations of mixed type
p. 1408-1414
The well-posedness of a mixed problem with an oblique derivative for the wave operator
p. 1415-1424
A criterion for the existence of generalized integral variational principles for given equations
p. 1425-1432
A discrete analogue of the Cauchy integral
p. 1433-1441
Application of Sard's theorem to the proof of the uniqueness of the solution of a boundary value problem for a semilinear parabolic equation with a nonlocal source
p. 1442-1446
An a priori estimate for the quasi-inversion method
p. 1447-1450
On the incompleteness of the system of root functions of the Tricomi problem for the Lavrent'ev--Bitsadze equation
p. 1451-1452
On the stability of the solutions of differential and difference equations with nondifferentiable right-hand sides
p. 1453-1455
Orbital stability of limit cycles of the second kind of dynamical systems with a cylindrical phase space
p. 1456-1458
Fundamental boundary value problems for a third-order equation in a three-dimensional domain of a special form
p. 1459-1461
Radiation principles for the Helmholtz equation in a multidimensional layer with impedance boundary conditions
p. 1462-1464
Functional description of uniform exponents of linear diagonal differential systems
p. 1465-1467

Sommaire du Fascicule no. 9

On the limit behavior of $O$-curves of a quasihomogeneous $\mathbf R^3$-system
p. 1475-1480
On the limit cycles of a class of systems
p. 1481-1485
Polynomial stabilization and its applications to the theory of ordinary differential equations
p. 1486-1503
Multidimensional singular integral equations with positive operators
p. 1504-1516
Solution of three-dimensional problems of acoustics and elasticity by the method of potentials
p. 1517-1525
Singular solutions of singular integral equations in some problems in electrodynamics
p. 1526-1532
Two boundary value problems in mathematical physics that arise in the analysis of the two-body problem in a nonabelian gauge field
p. 1533-1541
On the approximate solution of some mixed boundary value problems for infinite systems of differential-difference equations
p. 1542-1549
On the approximate solution of the Prandtl integro-differential equation
p. 1550-1560
A class of iterative methods for solving stationary Navier--Stokes equations.~I
p. 1561-1574
Efficient computational schemes for the conjugate gradient method and their investigation for the problem of modeling semiconductor structures
p. 1575-1584
Adaptive algorithms for computing singular integrals
p. 1585-1592
On the stability of the spline-qualocation method for singular integral equations with conjugation
p. 1593-1601
Quasi-solution of boundary value problems of diffraction based on hypersingular equations
p. 1602-1608
The approximate path integration method in the solution of some partial differential equations
p. 1609-1619
Finite groups in the numerical analysis of boundary integral equations
p. 1620-1631
On the numerical solution of boundary value problems by the method of the approximation of singular integrals
p. 1632-1641
Singular integrals on compact manifolds with singularities
p. 1642-1643
Approximate solution of singular integral equations with shift in $L_p$ spaces
p. 1644-1647
On the solution by the Galerkin method of boundary equations in problems of nonstationary diffraction of elastic waves by three-dimensional cracks
p. 1648-1651

Sommaire du Fascicule no. 10

On the A{\v\i}zerman problem for third-order time-dependent systems
p. 1659-1668
Topological classification of a quadratic system with a four-fold singular point
p. 1669-1674
Rational solutions of algebraic differential equations
p. 1675-1683
A criterion for the linearizability of the Riccati matrix differential equation and some properties of its solutions
p. 1684-1688
On the linear systems $L^pS$ with summable perturbations
p. 1689-1698
Linear systems of differential equations that are regular on $\mathbf R$
p. 1699-1704
On the boundedness of trajectories of time-dependent phase systems
p. 1705-1711
Approximate groups of transformations
p. 1712-1732
Transformation groups with a function parameter
p. 1733-1738
Seven notes on group analysis
p. 1739-1750
The Lie--B\"acklund group of the equations of nonlinear geometric optics
p. 1751-1764
On the structure of variational equations with symmetric operator $d/dt$
p. 1765-1771
Group classification and invariant solutions of nonlinear polyharmonic equations
p. 1772-1781
Higher integrals and symmetries of semi-Hamiltonian systems
p. 1782-1795
Weak invariants of local groups of transformations
p. 1796-1803
Group analysis of the Vlasov kinetic equation. I
p. 1804-1817
On the number of negative eigenvalues of the Schr\"odinger operator
p. 1818-1821
Inverse mean value theorem for $i$th order associated functions of the Laplace operator
p. 1822-1824
Group analysis of equations of thermal self-interaction of laser radiation in a moving medium
p. 1825-1828
On the Noethericity of a discrete convolution-type equation with almost stabilizing multipliers
p. 1829-1831
The Tricomi problem for the Lavrent'ev--Bitsadze system in a domain of a special form
p. 1832-1833
Serge{\v\i} Aleksandrovich Lomov (obituary)
p. 1834-1835

Sommaire du Fascicule no. 11

Feedback-controlled second-order proximal differential systems
p. 1843-1855
A generalized isoperimetric problem on a polyhedron
p. 1856-1867
Control of the spectrum of a two-parameter discrete system
p. 1868-1876
Sliding modes of higher orders in control systems
p. 1877-1899
The method of auxiliary mappings and doubly asymptotic solutions of differential equations
p. 1900-1908
A method for constructing Lyapunov functionals for stochastic systems with aftereffect
p. 1909-1920
Approximation of the output of a multidimensional affine system in the singular case
p. 1921-1927
Modal control of systems with distributed delay under incomplete information conditions
p. 1928-1936
The crossing problem with possible engine shutoff
p. 1937-1940
Poisson's theorem in optimal control problems
p. 1941-1947
Dynamic search and detection problems on some closed surfaces
p. 1948-1957
Group analysis of linear differential equations in generalized functions and the construction of fundamental solutions
p. 1958-1970
Group analysis of the Vlasov kinetic equation. II
p. 1971-1983
On the multiplicative power asymptotics of solutions of wave equations
p. 1984-1995
A periodic problem for a nonlinear nonlocal Schr\"odinger equation
p. 1996-1998
The method of formal derivatives for the solution of the Cauchy problem for a system of partial differential equations
p. 1999-2001
Solution of an integral equation associated with the Tricomi problem
p. 2002-2005
Solution of elliptic differential equations by the method of transformation of diffusion processes
p. 2006-2009
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2010-2020

Sommaire du Fascicule no. 12

Lev Dmitrievich Kudryavtsev (on the occasion of his seventieth birthday)
p. 2027-2031
\`Eduard Genrikhovich Poznyak (on the occasion of his seventieth birthday)
p. 2032-2033
Investigations in Belarus in the theory of characteristic Lyapunov exponents and its applications
p. 2034-2055
Stabilization problems for ordinary differential equations
p. 2056-2078
Small denominators in the analytic theory of degenerate differential equations
p. 2079-2089
Linear systems with $L^p$-dichotomy
p. 2090-2096
Multidimensional Darboux problems for degenerate hyperbolic equations
p. 2097-2103
Asymptotic behavior of the solutions of the second boundary value problem for nonlinear parabolic equations
p. 2104-2116
Nonlocal boundary value problems for an equation of mixed type in a domain with departure from a characteristic
p. 2117-2124
A uniqueness theorem for the Sturm--Liouville operator on a segment with a potential that has a nonintegrable singularity
p. 2125-2134
The Green function of a plane problem for a nonstationary viscous transonic equation
p. 2135-2142
On a boundary value problem that models transonic flow in a channel with porous walls
p. 2143-2148
Nonsimultaneous resonances in porous media
p. 2149-2159
Solvability of a nonclassical boundary value problem with the second boundary condition on the boundary in the class of even functions
p. 2160-2167
On the analyticity of periodic solutions of differential equations with singular points.~I
p. 2168-2177
Multivalued solutions of hyperbolic Monge--Amp\`ere equations
p. 2178-2189
Two-sided estimates for the eigenvalues of the Dirac equation and its analogues
p. 2190-2192
On the behavior of trajectories of a matrix Riccati differential equation
p. 2193-2194