Geodesic

Sommaire du Fascicule no. 1

General boundary value problems for a third-order equation with multiple characteristics
p. 3-12
Boundary value problems for equations of mixed-composite type
p. 13-17
The Cauchy problem for a quasilinear equation
p. 18-24
On the oblique derivative problem
p. 25-30
Existence of the spectrum for the Tricomi operator
p. 31-38
Global solution of the Cauchy problem for a quasilinear degenerate hyperbolic equation by the method of characteristics
p. 39-45
The Cauchy problem for a quasilinear equation
p. 46-49
A three-dimensional problem for an equation of mixed parabolic-hyperbolic type
p. 50-57
The general Tricomi problem for a mixed equation of hyperbolic-parabolic type with discontinuous coefficients
p. 58-72
A boundary value problem for a system of harmonic functions
p. 73-80
A problem with nonlocal conditions on characteristics for a hyperbolic equation that degenerates inside the domain
p. 81-90
On the Dirichlet problem for a system of second-order equations of composite type
p. 91-96
A boundary value problem for loaded third-order hyperbolic-parabolic equation
p. 97-106
On the Dirichlet problem for multidimensional elliptic systems
p. 107-114
Higher-order quasilinear elliptic equations
p. 115-128
Some boundary value problems for a hyperbolic equation that degenerates inside the domain
p. 129-136
Algebra of singular integral operators with shift-contraction on the half line
p. 137-149
The first boundary value problem for an equation of mixed type with weighted glueing conditions along a line of parabolic degeneration
p. 150-156
A problem of Goursat type for a class of hyperbolic systems
p. 157-164
Some integral representations of $x^ky^l$-analytic functions and formulas for their inversion
p. 165-171
Operator equations with small parameter and nonlocal boundary conditions
p. 172-181
Structural properties of solutions of some analytic partial differential equations
p. 182-194

Sommaire du Fascicule no. 2

Some forms of local controllability
p. 203-209
Syzygies between centroaffine invariants of a quadratic differential system
p. 210-219
Asymptotically equivalent two-dimensional linear differential systems
p. 220-226
Third-order systems with a moving singular curve
p. 227-232
TM-equivalence and classification of noncompact invariant sets of dynamical systems
p. 233-240
Representation of solutions in the neighborhood of fixed branching points of a problem on motion of a rigid body around a fixed point
p. 241-246
The Cauchy problem for operators that decompose into factors with singularities
p. 247-255
Behavior of the solution of some boundary value problems when the order of the equation increases indefinitely
p. 256-269
Solution of nonlinear boundary value problems that depend on a parameter for systems of second-order partial differential equations
p. 270-277
Multidimensional linear passive systems in Hilbert space
p. 278-285
Convergence of the solution of a mixed problem for a hyperbolic system on the plane with singularly perturbed boundary condition to the solution of a degenerate
p. 286-300
Integral equations of convolution on the half axis with semi-almost-periodic presymbols
p. 301-312
The Goursat problem for a loaded integro-differential equation
p. 313-319
Necessary and sufficient conditions for correct solvability of a boundary value problem in a layer for systems of partial differential equations
p. 320-324
The Tricomi problem for the Lavrent'ev--Bitsadze equation
p. 325-338
A boundary value problem with shift for a generalized Tricomi problem
p. 339-344
A new method for calculating electromagnetic fields in fine-grained and continuous media
p. 345-353
Behavior as $t\rightarrow \infty $ of solutions of mixed problems for a three-dimensional wave equation in a domain cylindrical with respect to the space variables
p. 354-365
Solution of nonlinear equations with monotone mapping in Hilbert space
p. 366-372
Linear systems of first-order partial differential equations with semiregular degeneration on a hyperplane
p. 373-382
Problem of the points of bifurcation in the case of several parameters
p. 383-386

Sommaire du Fascicule no. 3

The structure of the solutions of a two-dimensional periodic differential system.~II
p. 395-410
Quasicanonical integrals
p. 411-422
Sufficient conditions for complete controllability of nonautonomous systems
p. 423-430
Baire classes of functions and Lyapunov exponents.~IV
p. 431-468
Structure of the sequence function in the neighborhood of a separatrix cycle during perturbation of an analytic autonomous system on the plane
p. 469-478
Inequalities for differential operators from algebraic polynomials on the sphere
p. 479-487
Continuous solutions of quasilinear hyperbolic systems with two independent variables
p. 488-500
Some problems of optimal control for a nonlinear control system described by an oscillation equation
p. 501-509
Convergence of the method of summary approximation for a system of Vlasov equations
p. 510-518
A modification of the Ritz method for variational equations and its applications to boundary value problems with mixed boundary conditions
p. 519-526
Difference schemes of any order of accuracy for second-order differential equations on the half-axis
p. 527-540
Perturbed iteration methods for determining $L$ generalized solutions of nonlinear operator equations
p. 541-557
Asymptotic behavior of solutions of equations with deviating argument in Hilbert space
p. 558-561
The Cauchy system for nonlinear problems with two boundary conditions
p. 562-565
The Riemann method for degenerating quasilinear hyperbolic equations of second order
p. 566-567
Estimate of error of linearization of a nonlinear differential system in the critical case
p. 568-571

Sommaire du Fascicule no. 4

Necessary optimality conditions with matrix impulses
p. 579-588
Minimal possible number of controls in a linear time-invariant control system
p. 589-597
V.\,A.~Kondrat'ev's theorem on the distribution of zeros of solutions of a second-order linear differential equation
p. 598-603
The H\"older property of the Bellman function of plane control systems
p. 604-613
Absolute stability of a programmed manifold and estimate of indices of a transition process
p. 614-623
Asymptotic behavior of solutions of nonlinear systems of differential equations
p. 624-628
Program and position equilibrium in multicriterion game problems of control under conditions of indeterminacy
p. 629-637
On the problem of linearization in the neighborhood of invariant manifolds
p. 638-642
Invariant sets of autonomous differential systems
p. 643-650
On comparison theorems for differential inclusions in locally convex space. I.~Existence of solutions
p. 651-659
Correct solutions of differential inclusions
p. 660-668
Solutions of an equation of coagulation
p. 669-677
On the theory of symbols for Banach algebras of operators that generalize algebras of singular integral operators
p. 678-688
Averaging of certain systems of integro-differential equations that are unsolvable with respect to a derivative, with a multipoint linear boundary condition
p. 689-696
Factorization of measurable matrix-valued functions and related problems in the theory of systems of singular integral equations and the vector Riemann boundary
p. 697-709
Difference schemes of gas dynamics
p. 710-718
Some singularities of a solution of equations of gas dynamics by finite-difference methods
p. 719-731
Multiple merging of separatrices and limit cycles
p. 732-734
Integrability of complex Pfaff equations
p. 735-737
Estimate of the relation of solutions of a differential equation with retarded argument of unstable type
p. 738-740
Singularities of solutions of second-order equations in a real domain
p. 741-743
Asymptotic formulas for eigenvalues of an operator that is akin to a differential of odd order
p. 744-746
Systems whose solutions are functions of solutions of linear systems
p. 747-748
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 749-756
Valentin Petrovich Mikha{\v\i}lov (on the occasion of his fiftieth birthday)
p. 757-762

Sommaire du Fascicule no. 5

On the properties of oscillating solutions of third-order ordinary differential equations
p. 771-777
On a necessary condition for being a basis
p. 778-788
The Cauchy problem for operator-differential equations of Euler--Poisson--Darboux type
p. 789-795
Existence of a Ljapunov--Krasovski{\v\i} function in the neighborhood of a certain set for a nonautonomous differential equation
p. 796-804
A numerical method for some singular boundary value problems
p. 805-819
On the growth of meromorphic solutions of algebraic differential equations
p. 820-827
Connection between various conditions for structural stability
p. 828-835
A boundary value problem for the nonlinear parabolic equation $u_t=\Delta u^{\sigma+1}+u^\beta$
p. 836-842
The Dirichlet and Holmgren problems for an elliptic equation with degeneration of order on the boundary of an unbounded domain
p. 843-852
Functionally invariant solutions of differential equations
p. 853-865
A modified Dirichlet problem for a degenerate elliptic equation
p. 866-872
Regular boundary value problems for the Lavrent'ev--Bicadze equation
p. 873-885
Boundary value problems for a system of multidimensional mixed equations
p. 886-892
Coercive estimates for a higher-order differential operator
p. 893-901
Asymptotic estimates of the resolvent and of solutions of elliptic equations
p. 902-912
On a first-order system which is degenerating at a point
Stabilization of a class of nonlinear equations with lag
p. 914-916
Asymptotic behavior of solutions of differential equations with lag
p. 917-920
On a certain inverse problem
p. 921-922
Asymptotic behavior of equivalent linear differential systems
p. 923-926
Convergence conditions in a generalized Li\'enard equation
p. 927-929
The behavior of solutions of a class of first-order differential equations in the complex plane
p. 930-932
A method for constructing Ljapunov functions
p. 933-935
Problem of the center and the integrating factor for a Li\'enard equation
p. 936-940
On the theory of pseudoregular singularities of degenerate equations
p. 941-943
A criterion for the attainability of nonlinear systems given on manifolds
p. 944-948
Stability of resonance problems
p. 949-953

Sommaire du Fascicule no. 6

On the stability of functional-diffferential equations
p. 963-972
Boundary value problems for differential operator equations of uneven order
p. 973-983
Quadratic Ljapunov functionals for systems with aftereffect
p. 984-993
On autonomous three-dimensional systems with knotted trajectories and limit cycles of various types
p. 994-999
Absolute stability of integral manifolds
p. 1000-1006
Estimates of the Green function of a multipoint boundary value problem
p. 1007-1015
On comparison theorems for differential inclusions in locally convex space. II.~Properties of solutions
p. 1016-1024
Analytic properties of functions of convex relative solutions of second-order differential equations
p. 1025-1034
On an asymptotic representation of oscillating solutions of an Emden--Fowler type equation
p. 1035-1040
Construction of solutions of a third-order nonlinear equation that has given properties at infinity
p. 1041-1049
Nonlinear boundary value problems for second-order equations
p. 1050-1059
On the solvability of some boundary value problems associated with the theory of a transversal shock along finite beams
p. 1060-1077
On problems of Bicadze--Samarski{\v\i} type for the equation $U_{xx}+\operatorname{sgn}y|y|^mU_{yy}=0$ ($0$)
p. 1078-1089
On a method for solving a nonstationary problem of heat conduction
p. 1090-1095
A nonclassical boundary value problem for a first-order hyperbolic system with two independent variables
p. 1096-1104
Regular boundary value problems for the wave equation
p. 1105-1121
On a multidimensional equation of mixed-composite type
p. 1122-1127
Averaging in multifrequency systems with lag
p. 1128-1131
On control by a pencil of trajectories by means of systems of functions
p. 1132-1134
On the multiplicity of a spectrum of a first-order selfadjoint differential operator
p. 1135-1138
The asymptotic behavior of entire functions, defined by Dirichlet series and satisfying first-order differential equations with exponential coefficients
p. 1139-1142
Construction of Ljapunov functions for some second-order nonlinear stochastic differential equations and questions of stability
p. 1143-1145

Sommaire du Fascicule no. 7

On the accuracy of difference schemes for one-dimensional problems of gas dynamics
p. 1155-1170
Difference schemes of a high order of accuracy for a singularly perturbed boundary value problem
p. 1171-1183
On the accuracy of modified difference and finite-element schemes for a model problem on cracks
p. 1184-1192
Nonlocal parabolic problems and the inverse problem of heat conduction
p. 1193-1199
Some self-similar problems of gas dynamics with account taken of complementary nonlinear effects
p. 1200-1213
Calculation on a stationary Euler grid of the flow around bodies of changing form
p. 1214-1221
Three-dimensional differential-difference schemes of magnetohydrodynamics
p. 1222-1227
Locally barotropic difference schemes of gas dynamics
p. 1228-1238
On the method of nets for the Sturm--Liouville problem with a generalized differential Hermite operator
p. 1239-1249
On the stability, in the class of positive solutions, of the time-inverse Cauchy problem for the heat equation
p. 1250-1255
Investigation of convergence in difference norms of schemes of the finite element method with numerical integration for fourth-order elliptic equations
p. 1256-1269
The development of the method of fictitious unknowns~-- conjugate directions
p. 1270-1279
On difference schemes for a nonlinear Sturm--Liouville problem
p. 1280-1284
On the question of the convergence of difference schemes for generalized solutions of the Poisson equation
p. 1285-1294
On the convergence of difference solutions to generalized solutions of a biharmonic equation in a rectangle
p. 1295-1303
On the correctness of nonlinear two-layer operator-difference schemes
p. 1304-1316
Operator-difference schemes
p. 1317-1327
Numerical inversion of some integral operators of the first kind
p. 1328-1339
Поправки к~статье: «О существовании обобщенных и стационарных статистических решений

Sommaire du Fascicule no. 8

Construction of a domain of attraction by Zubov's method
p. 1347-1361
Functional and functional-differential inclusions with Volterra operators
p. 1362-1374
A problem of optimal control
p. 1375-1384
A topological classification of foliations described by one-dimensional Pfaffian forms on an $n$-dimensional torus
p. 1385-1393
Baire classes of functions and Lyapunov exponents.~V
p. 1394-1410
A singularly perturbed, weakly nonlinear problem with associated vectors that correspond to a zero characteristic number
p. 1411-1425
On the dependence of solutions of a differential inclusion on initial conditions and the parameter
p. 1426-1433
An inverse problem of the theory of scattering from a layered-inhomogeneous half space
p. 1434-1445
Three-dimensional dynamic problems of the conjugate theory of thermoelastic diffusion
p. 1446-1455
Completeness of systems of eigenelements of some quasilinear operator equations
p. 1456-1467
Periodic solutions of first-order elliptic systems
p. 1468-1477
Necessary optimality conditions for systems of differential equations that are not solved with respect to the derivative
p. 1478-1480
Conditions for topological equivalence of two-dimensional Morse--Smale diffeomorphisms
p. 1481-1482
Applications of angular potential. On the solution of a problem of Poincar\'e
p. 1483-1486
Construction of a force field along a given family of trajectories
p. 1487-1489
The structure of a single-valued integrating factor near a cycle
p. 1490-1492
On the minimal deviation of the solutions of a differential equation of second order from the initial state
p. 1493-1494
A general boundary value problem for a linear differential equation of $m$-th order on a halfline
p. 1495-1497
Некоторые обратные задачи в~теории сложных систем
p. 1498-1501
On the character of movable singular points of some Hamiltonian systems
p. 1502-1503
Oscillatory nature of the solutions of a differential system
p. 1504-1508
On the stability of Hamiltonian systems in case of zero frequency
p. 1509-1510
Discovery of solutions of source-sink type for the potential of generalized Cauchy--Riemann systems of a certain type
p. 1511-1514
Localization of the cluster set of a solution with a bounded interval of definition
p. 1515-1517
Two-dimensional singular integral equations of the first kind with Cauchy kernels
p. 1518-1521
Valentin Vital'evich Rumyantsev (on the occasion of his sixtieth birthday)
p. 1522-1529

Sommaire du Fascicule no. 9

Some singular integral equations of aerodynamics
p. 1539-1547
Completely integrable partial differential systems of Riemann and Gauss type
p. 1548-1561
The comparison method in systems analysis.~I
p. 1562-1573
The asymptotic behavior of the solution of a singularly perturbed problem that is connected with the penalty function method
p. 1574-1580
Behavior of the norm of the integral matrix of some linear two-dimensional systems of differential equations in the neighborhood of a singular point of the syst
p. 1581-1588
On the question of conditions for the applicability of the averaging method
p. 1589-1595
The amplitude method for constructing multifrequency oscillations of nonlinear systems with delay
p. 1596-1602
An algorithm for determining the initial data of periodic solutions of the Riccati equation
p. 1603-1610
Asymptotic expansion of solutions of linear differential equations containing a parameter
p. 1611-1620
Boundary of the attracting set of a periodic Axiom $A$-system
p. 1621-1629
Singularities of a system of differential equations
p. 1630-1634
Well-posedness of a boundary value problem for explicit and implicit differential equations in a Banach space
p. 1635-1640
On the stabilization of solutions of the Cauchy problem for second-order parabolic equations with lower-order terms
p. 1641-1655
A plane stationary problem of the theory of heat conduction for polygonal domains with a boundary condition of the third kind
p. 1656-1660
Properties of solutions of a nonlinear transport equation
p. 1661-1667
An integral representation of $p$-analytic functions with a logarithmically harmonic characteristic $p$
p. 1668-1673
Investigation of movable singular points by the method of the qualitative theory of differential equations
p. 1674-1677
Maximal dissipativity of abstract differential operators of hyperbolic type
p. 1678-1681
Polynomial basis of centroaffine comitants of a homogeneous cubic differential system
p. 1682-1684
Some classes of autonomous systems with a particular integral
p. 1685-1687
Boundary cases under conditions of solvability of the Cauchy problem for an equation of neutral type
p. 1688-1691
Dynamical structural stability
p. 1692-1695
Integral equations and Parseval equalities for modified integral Kontorovi{\v{c}}--Lebedev transforms
p. 1696-1699
On the Dirichlet problem for first-order elliptic systems
p. 1700-1701
Oscillatory and nonoscillatory nature of solutions of a two-dimensional system of nonlinear differential equations
p. 1702-1705
On the realization of a trajectory of motion in a space of multidimensional vectors
p. 1706-1708
Two remarks with respect to conditions for a center
p. 1709-1712
On the absence of nonholomorphic solutions in the neighborhood of a fixed singular point of some classes of systems of two equations
p. 1713-1716
Murzabek Imanalievich Imanaliev (on the occasion of his fiftieth birthday)
p. 1717-1720

Sommaire du Fascicule no. 10

Andre{\v\i} Nikolaevich Tikhonov (on the occasion of his seventy-fifth birthday)
p. 1731-1737
On a problem with an oblique derivative
p. 1738-1751
On the solution of a Cauchy problem for the Maxwell equations in a consistent spherically symmetric model
p. 1752-1758
Kubo-Martin-Schwinger states for dynamical systems that are described by equations of hyperbolic type
p. 1759-1764
Averaging of the heat transfer process in periodic media in the presence of radiation
p. 1765-1773
Exact solutions of some classes of nonlinear partial differential equations
p. 1774-1778
On a system of singularly perturbed equations of elliptic type
p. 1779-1791
Asymptotic integration of singularly perturbed problems in Hilbert space
p. 1792-1805
The critical case with a Jordan chain in a singularly perturbed nonlinear problem
p. 1806-1816
On the asymptotic behavior of the solution of a problem on the diffraction of long waves on the surface of a stratified fluid
p. 1817-1825
Localization of heat in nonlinear media
p. 1826-1841
A. N. Tikhonov's regularizing operators in some ill-posed problems for differential equations
p. 1842-1850
On weak and strong irregularity
p. 1851-1858
Estimates of anti a priori-type that are sharp with respect to order for the eigen- and associated functions of the Schr\"odinger operator
p. 1859-1867
Justification of a method for calculating characteristic waves of a microstrip transmission line
p. 1868-1874
Dissipative structures in trigger media
p. 1875-1885
On the asymptotic properties of solutions of the biharmonic equation
p. 1886-1899
On a class of inverse boundary value problems for analytic functions
p. 1900-1907
A mean value formula for the associated functions of the Laplace operator
p. 1908-1910
Some questions of the theory of perturbations of linear operators
p. 1911-1914

Sommaire du Fascicule no. 11

Decomposition of dynamical control problems under conditions of indeterminacy
p. 1923-1931
Barbashin's problem in the theory of phase systems
p. 1932-1944
The comparison method in systems analysis.~II
p. 1945-1954
The minimal basis of comitants of a differential system with quadratic nonlinearities
p. 1955-1963
The spectrum of characteristic exponents of a two-dimensional stationary system with perturbations-rotations
p. 1964-1977
Uniform estimates for derivatives of eigenfunctions of a selfadjoint Sturm--Liouville operator
p. 1978-1983
On passage to the limit in boundary value problems for functional-differential equations
p. 1984-1994
On the stability of solutions of systems with impulse action
p. 1995-2001
Bifurcations of limit cycles of a quadratic system with a change of parameter which rotates the field
p. 2002-2016
Localization of the limit set in a nonautonomous differential system by means of Lyapunov functions
p. 2017-2028
On the numerical solution of variational inequalities
p. 2029-2040
A problem on the diffraction of a horizontal magnetic dipole by a circular disc that is lying on the infinite bound of interface between two media
p. 2041-2051
On the behavior of the characteristics of equations of mixed type near the line of degeneracy
p. 2052-2063
On a removable singularity of solutions of linear elliptic equations with continuous coefficients
p. 2064-2070
Construction of basic solutions of a first-order generalized Cauchy--Riemann system with a coefficient that depends on a variable according to the hypertangential law
p. 2071-2083
Periodic solutions of a nonlinear system
p. 2084-2085
Approximate solution of the matrix Riemann problem
p. 2086-2089
On the connection between the method of false perturbations, analytical perturbations, and differential equations with degeneration
p. 2090-2093
On the pointwise completeness of linear systems with delay
p. 2094-2096
Радиоизлучение крабовидной туманности и анизотропный релятивизм Болтянского
p. 2097-2100
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 2101-2107

Sommaire du Fascicule no. 12

On the stability of central and general indices of a piecewise-constant system
p. 2115-2122
On the question of factorization of a linear boundary value problem
p. 2123-2135
A problem of optimal control of active moving objects
p. 2136-2143
Stability in the large of autonomous systems of two differential equations with two nonlinearities
p. 2144-2148
On the convergence of spectral decompositions corresponding to a nonnegative selfadjoint extension of the Sturm--Liouville operator for functions from the class $H_p^\alpha$
p. 2149-2159
On the optimal estimate of the interval of nonoscillation for linear differential equations with bounded coefficients
p. 2160-2175
On a method for finding admissible controls in a linear system with phase constraints
p. 2176-2184
Smoothness of the Bellman function in differential games with fixed time
p. 2185-2194
Lyapunov stable classes of dynamic systems of perturbed motions
p. 2195-2200
Criterion for the nonoscillation of solutions of a difference equation
p. 2201-2211
Singular integral equations with non-Carleman shift on an open contour
p. 2212-2223
On the solution in closed form of one-dimensional singular integral equations
p. 2224-2237
On a numerical solution of singular integral equations
p. 2238-2249
Uniform stability of finite-difference equations in the case of parametric perturbations
p. 2250-2264
Sufficient conditions for the solvability of two-point boundary value problems for a third-order differential equation
p. 2265-2268
Investigation of spectral characteristics of some Sturm--Liouville operators used in crystal theory
p. 2269-2270
On the asymptotic stability of the equilibrium state of a system of ordinary differential equations
p. 2271-2273
Submanifolds of codimension $1$ and the perturbation of homogeneous systems
p. 2274-2277
Investigation of a class of integral equations
p. 2278-2279
Behavior of solutions of functional-differential equations with a bounded perturbation
p. 2280-2282
On the sign of the Green function of a difference boundary value problem
p. 2283-2286