Geodesic

Sommaire du Fascicule no. 1

Boundary behavior of analytic functions that parametrize a minimal surface
p. 3-9
Operators for harmonic functions and their applications
p. 9-15
A proof of the localization of unbounded solutions of the nonlinear parabolic equation $u_t=(u^\sigma u_x)_x+u^\beta$
p. 15-23
On the problem of the motion of waves in a channel with an elastic bottom, filled by an ideal compressible liquid
p. 23-30
Stabilization of the Poisson integral in a class of functions having power growth
p. 30-40
A nonlinear integro-differential equation of parabolic type
p. 41-46
The Darboux problem in the large for a class of quasilinear hyperbolic equations
p. 46-50
The two-dimensional Tricomi problem when the domain of parabolicity is two-dimensional
p. 51-58
Order-exact relations of anti-a-priori type between eigen- and associated functions of an elliptic operator of arbitrary order
p. 58-65
The spectrum of irregular operators
p. 65-77
Some boundary value problems for equations of mixed type
p. 77-83
The property of being a basis for a system of eigenelements of some nonlinear operator equations
p. 84-91
Nonlocal boundary value problems with shift and their connection with loaded equations
p. 92-101
A quasilinear hyperbolic Kirchhoff equation
p. 101-108
Inverse problems of the determination of the coefficient and right-hand side of a nonstationary transport equation from overdeterminedness at a point
p. 109-119
Determination of the parameter of an evolution equation and inverse problems of mathematical physics. I
p. 119-129
Criteria for oscillation and nonoscillation for elliptic equations
p. 130-140
Multidimensional analogues of the A. V. Bitsadze system
p. 141-144
Solvability of the Dirichlet problem for a second-order elliptic equation with degeneration on the whole boundary
p. 145-148
A boundary value problem for second-order normally hyperbolic systems with variable coefficients
p. 149-155
The exterior Poincaré problem for metaharmonic potentials of a simple layer
p. 156-158
A problem with an oblique derivative for an elliptic system
p. 158-161
A boundary value problem for pseudosymmetric systems
p. 161-163
Solutions of boundary dislocation type in an infinite isotropic elastic body
p. 163-166
Boundary value problems for a degenerate system of first-order equations
p. 166-169
A class of well-posed boundary value problems for second-order hyperbolic systems with nonsplittable principal sides
p. 169-172
Nikolaǐ Nikolaevich Yanenko
p. 173-177
Letter to the editors: “The spectrum of the Bitsadze–Samarskiǐ problem” [Differentsial'nye Uravneniya 19 (1983), no. 1,

Sommaire du Fascicule no. 2

A criterion for asymptotic stability of Pfaffian differential systems with $g$-perturbations
p. 187-191
Necessity of Gomory's conditions for the existence of periodic solutions of two-dimensional quasihomogeneous systems
p. 191-198
A priori estimates of solutions of higher order nonlinear differential inequalities
p. 198-213
Global stability of differential equations of phase synchronization systems
p. 213-223
Generic properties of conditional exponential stability. IX
p. 223-236
Some extremal properties of observable differential systems
p. 236-240
Intermediate stability in the first approximation under certain perturbations
p. 240-245
A problem with integral constraints for general two-dimensional hyperbolic equations and systems
p. 246-253
Asymptotic behavior of solutions of exterior mixed problems for the heat equation
p. 254-261
Generalized functions and the operator calculus
p. 261-271
Systems of first-order partial differential equations of composite type
p. 272-276
An inverse problem of reconstruction of the right-hand side of an elliptic equation and its numerical solution
p. 277-284
Exact and truncated difference schemes for boundary value problems with degeneration
p. 285-295
Solution of a boundary value problem for a quasilinear equation of parabolic type with nonclassical boundary condition
p. 296-305
Dynamic regularization in certain systems not solved with respect to the derivative
p. 305-315
Investigation of the Hutchinson population model
p. 316-318
Moving singularities of solutions of autonomous systems of two differential equations
p. 318-321
Asymptotic equilibrium of systems of differential equations
p. 321-325
Asymptotic estimates of the norm of an integral matrix of a two-dimensional system of differential equations in the neighborhood of a singular point of the system
p. 325-328
Holomorphic solutions of a differential equation with operator coefficient multiplying a derivative depending on a parameter
p. 328-330
Necessary and sufficient conditions for asymptotic stability in a critical case
p. 330-331
Some bilinear invariants of two-dimensional autonomous systems of ordinary differential equations with rational right-hand side
p. 331-334
Singular points of first degree of non-roughness situated on the line of discontinuity of the right-hand sides of a system
p. 334-335
On a theorem of N. I. Gavrilov
p. 335-338
On the stability of a system of differential equations with two “eigen” nonlinearities
p. 338-340
The Volterra spectrum of a difference operator
p. 340-343
On the solution of a mixed problem for an inhomogeneous fourth-order partial differential equation
p. 343-345
The fundamental solution of the Cauchy problem for pseudodifferential equations
p. 346-348
Solvability of a problem with integral boundary conditions for a differential equation of parabolic type
p. 348-351
Asymptotic representation of solutions of a differential equation with two parameters
p. 352-354
On an iterative approach to the solution of boundary value problems for a class of quasilinear hyperbolic systems
p. 354-356
Alekseǐ Georgievich Sveshnikov (on the occasion of his sixtieth birthday)
p. 357-360

Sommaire du Fascicule no. 3

A necessary condition for equiconvergence of the trigonometric series and of a spectral expansion for an arbitrary integrable function
p. 371-379
On the problem of singular optimal controls
p. 380-385
On Lyapunov's second method for systems with aftereffect
p. 385-391
Solvability of the de la Vallée-Poussin boundary value problem
p. 391-398
Separation of problems of control and observation under conditions of uncertainty
p. 398-404
Optimal control of a pencil of trajectories of a system with sub-definite parameters
p. 404-410
A problem of estimation of a matrix parameter
p. 410-416
Multipoint boundary value problems for certain operator-differential equations. I. A priori estimates
p. 417-425
A two-point problem for the equation of a vibrating string and functional equations connected with it
p. 426-435
Classical and generalized solutions of a nonlinear problem with moving boundary of unsteady motion of viscoplastic media
p. 435-443
Asymptotic behavior of solutions of a nonstationary mixed problem
p. 443-454
A method of regularizing singular integral equations of the first kind
p. 455-464
Reduction of certain nonlinear evolution equations with a continuous spectrum to linear form
p. 464-473
Continual models of developing systems
p. 473-484
Solvability “in the large” of a nonlinear problem of radiative transfer
p. 484-494
The spectral property of a perturbed Sturm–Liouville operator with nonlocal boundary conditions
p. 494-499
Breaking of waves for the Whitham equation with singular kernel. I
p. 499-508
Equations of aeroelasticity and some numerical methods for their solution
p. 509-516
Classes of third-order systems without moving critical points
p. 517-520
Асимптотика функции Грина обыкновенного линейного дифференциального уравнения с малым параметром
p. 520-522
Asymptotics of the norm of an integral matrix of a two-dimensional two- parametric system of differential equations
p. 522-523
Investigation of an impulse system with variable structure
p. 523-525
Disappearance of periodic solutions of two-dimensional quasihomogeneous systems
p. 526-527
Multipoint necessary conditions for optimality of controls that are singular in the classical sense in systems with delay
p. 527-530
Conditions for existence and construction of Lyapunov–Samojlenko functions for investigation of the stability of solutions
p. 530-531
A singularly perturbed boundary value problem of hyperbolic type
p. 531-533
The Neumann problem for the Helmholtz equation in the exterior of an infinite cylinder
p. 534-535
Asymptotic behavior of the solution of a Cauchy problem
p. 536-539
A general approach to symmetrization of differential operators
p. 539-541
A minimal polynomial base of comitants of a cubic differential system
p. 541-543
Рецензия на книгу В. Я. Скоробогатько «Исследования по качественной теории дифференциальных
p. 544-545

Sommaire du Fascicule no. 4

The averaging method in the theory of perturbations of linear differential operators
p. 555-562
The direction vector method for investigating the stability of singular points of nonlinear systems. I. Theory
p. 562-572
The behavior of solutions of a quasihomogeneous system in the neighborhood of a nonsimple exceptional direction
p. 572-581
Kneser solutions
p. 581-588
Oscillatory properties of a class of differential equations with deviating argument
p. 588-596
Synthesis of optimal control for systems described by a hyperbolic equation
p. 597-604
Nonlocal problems in the theory of optimal processes. I
p. 605-614
Perturbation of invariant manifolds. I
p. 615-623
Controllability of time-dependent linear systems
p. 623-628
Sufficient conditions for optimality of control of an ensemble of trajectories of nonlinear dynamical systems
p. 628-636
Trace formulas for a singular differential operator with a turning point
p. 636-646
Construction of analytic functions that conformally map a half plane onto circular polygons
p. 646-656
Simplest types of ordering in open dissipative systems
p. 657-668
Selfadjointness in essentially semibounded higher-order elliptic operators
p. 668-677
A generalization of the characteristic problem for hyperbolic systems
p. 678-686
On the theory of parabolic pseudodifferential operators of variable order
p. 686-694
Determination of the parameter of an evolution equation and inverse problems of mathematical physics. II
p. 694-701
Solvability of elliptic problems with boundary conditions of Bitsadze–Samarskiǐ type
p. 701-706
Asymptotic behavior with respect to the parameter of the solution of a higher-order elliptic equation in a neighborhood of the line of degeneracy of the limit equation
p. 706-715
A boundary value problem with a matrix parameter
p. 716-717
Analytic solution of a static boundary value problem of the plane theory of elasticity
p. 717-720
Some cases of the integrability of differential equations of the form $y''+p(x)y'+h(x)y+f(x)F(y,k(x))=0$
p. 720-724
Some properties of modified Kontorovich–Lebedev integral transformations
p. 724-727
Some criteria for discreteness of the negative part of the spectrum of a linear differential operator
p. 728-731

Sommaire du Fascicule no. 5

A boundary value problem for a system of ordinary differential equations encountered in biochemistry
p. 739-747
Preservation of boundedness properties of solutions under perturbation of a nonlinear $n$-dimensional differential system
p. 748-752
Optimal planning of a process of interaction of active moving objects
p. 752-757
Zeros of solutions of a class of $n$th order linear equations
p. 757-764
Analytic properties of solutions of a third-order differential equation
p. 764-771
Generic properties of conditional exponential stability. X
p. 771-776
Application of quadratic forms to the study of systems of linear differential equations
p. 776-788
Duality and conditions for optimality in problems of control of functional-differential systems of neutral type
p. 788-798
Some theorems of the second method of Lyapunov for quasiflows
p. 798-801
The moment method in a problem of control of a system with distributed parameters
p. 802-805
Multipoint boundary value problems for certain operator-differential equations. II. Solvability and properties of the solutions
p. 806-815
Solution of a steady-state problem of the theory of heat conduction under a boundary condition of the third kind for a conical domain
p. 815-819
Growth of harmonic functions near a boundary
p. 819-824
A mixed problem on diffraction of a horizontal magnetic dipole by a disk and an opening in a flat screen divided by different media
p. 825-831
Anisotropic classes of uniqueness of the solution of the Cauchy problem for a second-order parabolic equation. I
p. 832-841
The Liouville theorem for generalized solutions of degenerate quasilinear parabolic equations
p. 841-854
The method of fictitious domains for linear parabolic equations
p. 854-862
The number of $\alpha$-points on a characteristic and the length of level lines of solutions of linear parabolic equations with one space variable
p. 862-870
Inverse problems of determining the coefficient, scattering indicatrix and right-hand side of a nonstationary multivelocity transport equation
p. 870-885
Bounded solutions of a nonlinear recursive system with two unknowns
p. 886-888
On necessary and sufficient conditions for a maximin in control problems
p. 888-890
Two-sided estimates of solutions of a class of nonlinear differential equations
p. 891-894
Solution of a boundary value problem for parabolic equations with coefficients that are variable in time
p. 894-897
Sufficient conditions for existence of a pencil of $0$-curves of a first-order singular differential equation
p. 898-899
Periodic random perturbations of differential-difference equations of neutral type
p. 899-900
On a small variation of the characteristic indices of a regular linear system
p. 901-903
Estimates of eigen- and associated functions of ordinary differential operators
p. 903-906
On the theory of boundary value problems for degenerate elliptic systems
p. 906-908
Concerning the inversion of Kneser's theorem on the cross section of an integral funnel
p. 908-909
О семинаре по качественной теории дифференциальных уравнений в Московском университете
p. 910-914

Sommaire du Fascicule no. 6

The direction vector method for investigating the stability of singular points of nonlinear systems. II. Partial results, examples and discussions
p. 923-932
Estimates for periodic solutions of systems of second-order nonlinear differential equations
p. 932-937
Third-order equations without moving critical singularities
p. 937-946
Generic properties of conditional exponential stability. XI
p. 946-955
Nonlocal problems in the theory of optimal processes. II
p. 955-962
Characteristic Lyapunov exponents of a regular system with nonlinear perturbation and random inhomogeneity
p. 962-974
Asymptotic behavior of solutions of a multidimensional system
p. 974-978
Optimality of generalized actions
p. 978-986
Regularized traces of higher-order differential operators with retarded argument
p. 986-991
The maximum number of limit cycles of the equation $(y-P_3(x))dy=P_1(x,y)dx$ in the case of three singular points
p. 991-997
Asymptotic behavior of the solution of a boundary value problem for a singularly perturbed system of ordinary differential equations
p. 997-1006
The conjugacy problem for an elliptic system of first-order differential equations with derivatives in the boundary condition
p. 1007-1013
Periodic solutions of singularly perturbed equations of elliptic type
p. 1013-1020
Weighted spherical functions and singular pseudodifferential operators
p. 1020-1032
The spectrum of a stationary single-velocity transport equation with linear dependence of the scattering law on the angles
p. 1032-1036
$H_p$-estimates for solutions of the Cauchy problem for differential operators that decompose into wave factors
p. 1037-1046
Estimation of the change in the solution of the Dirichlet problem under variation of the domain
p. 1047-1051
Existence and stability of solutions of linear functional-differential equations in weighted Lebesgue spaces
p. 1052-1059
Equations of the first kind with elliptic integrals in the kernel
p. 1059-1067
Bifurcations of waves described by parabolic systems in a circular cylinder
p. 1068-1070
Regular multidimensional differential equations
p. 1071-1073
Perturbed Euler differential system
p. 1074-1076
Localization principle for solutions of the Cauchy problem for parabolic systems in the class of generalized infinite-order functions
p. 1077-1079
On the existence and location of limit cycles in an autonomous system
p. 1079-1081
Double expansion in series of eigenfunctions of the Orr–Sommerfeld problem
p. 1082-1085
Sequential analysis of periodic systems with a small parameter multiplying the derivative in the presence of purely imaginary (including identically multiple) points in the spectrum of the limit operator
p. 1085-1089
On an approximating sequence
p. 1089-1091
The structure of solutions of Jacobi systems with periodic coefficients
p. 1091-1095
Length of the gaps in the continuous spectrum of the Sturm–Liouville operator
p. 1095-1097
A remark on the inversion formula for Wimp's integral transformation with respect to the index
p. 1097-1098

Sommaire du Fascicule no. 7

Efficient difference schemes for nonlinear hyperbolic equations. I
p. 1107-1117
Numerical methods with improved properties of agreement of the difference and the differential problem
p. 1117-1126
Asymptotic behavior of unbounded solutions of the nonlinear parabolic equation $u_t=(u^\sigma u_x)_x+u^{\sigma+1}$
p. 1126-1134
Algorithms for the numerical solution of problems of magnetohydrodynamics in the applied program package SAFRA
p. 1135-1144
Completely conservative locally barotropic difference schemes of gas dynamics in mixed Euler–Lagrange variables
p. 1144-1155
A variant of the finite element method for elliptic equations in domains with periodic structure
p. 1155-1164
On the accuracy of the method of lines for second-order quasilinear hyperbolic equations with a small parameter multiplying the highest time derivative
p. 1164-1170
Marangoni instability in a gas-liquid system
p. 1171-1179
Application of a kinetic algorithm for calculating gas dynamic flows
p. 1179-1185
Difference methods in problems of the propagation of optical radiation in a cloud medium
p. 1186-1191
Some analytic solutions of Maxwell equations in a nonconducting medium
p. 1191-1202
Difference analogues of the Boltzmann equation and equations of macroscopic dynamics
p. 1202-1208
Increasing the time step in the integration of Navier–Stokes equations in vorticity-stream function variables
p. 1208-1217
Investigation of nonlinear two-layer operator-difference schemes with weights
p. 1217-1227
Unconditional convergence of some difference schemes of problems of gas dynamics
p. 1227-1238
Convergence of central difference schemes for dynamic problems of the theory of elasticity
p. 1238-1246
Accuracy of a difference scheme in a spectral problem with generalized solutions
p. 1246-1252
Stability of variational-difference schemes of gas dynamics with heat conduction
p. 1252-1257
Variational-difference schemes for equations of the dynamics of a deformable medium
p. 1258-1263
Efficient difference schemes for quasilinear transport equations
p. 1264-1267
О численном моделировании некоторых отрывных течений на основе уравнений Навье–Стокса
p. 1267-1269
A difference method for solving Navier–Stokes equations in vorticity-stream function variables
p. 1269-1273
An algorithm for solving the heat equation on nonorthogonal grids
p. 1273-1276
Volterra integral equation with a hypergeometric function in the kernel
p. 1276-1279
On a theorem of differentiability of the solution of an ordinary differential equation with respect to the initial condition
p. 1279-1281
Solution of operator equations and boundary value problems by means of systems of elements
p. 1281-1282

Sommaire du Fascicule no. 8

Some tendencies towards generalizations of a differential equation
p. 1291-1304
The method of integral funnels of differential inclusions for the investigation of control systems
p. 1304-1313
Construction in the plane of systems of differential equations from a partition into trajectories of a domain that has singular points only on the boundary
p. 1313-1317
Solutions of evolution equations of parabolic type with degeneration
p. 1317-1324
A problem of optimal control with nonsmooth differential constraints
p. 1324-1330
Prolongation of solutions of Pfaffian equations
p. 1331-1337
Perturbation of invariant manifolds. II
p. 1337-1344
Quasidifferential equations in a metric space
p. 1344-1353
Invariant tori of differential systems with impulses in spaces of bounded numerical sequences
p. 1353-1361
The method of two systems of functions in boundary value problems
p. 1362-1368
Differential operators of constant strength
p. 1369-1376
Uniqueness classes and stability of solutions of degenerate quasilinear equations of parabolic type in a problem without initial data
p. 1376-1389
General solution of systems of partial differential equations with identical principal part
p. 1389-1398
Anisotropic classes of uniqueness of the solution of the Cauchy problem for a second-order parabolic equation. II
p. 1399-1407
Smoothness of the solutions of a boundary value problem for elliptic equations with a parameter
p. 1407-1412
Differential equations in a scale of Banach spaces
p. 1412-1422
The Friedrichs extension of a differential operator with a singularity
p. 1422-1429
Linear differential equations on biscales of Banach spaces
p. 1430-1435
Numerical-asymptotic solution of a nonstationary singularly perturbed problem from the theory of semiconductor devices
p. 1436-1440
On a difference problem of optimal control with a small step
p. 1440-1442
Remarks on the theory of the generalized inverse for an operator generated by a Fredholm integral equation of the second kind
p. 1442-1444
Complete controllability of a class of linear singularly perturbed systems
p. 1444-1446
Periodic orbits of multidimensional dynamical systems
p. 1446-1449
On functionally invariant solutions of a system of partial differential equations
p. 1449-1450
Well-posedness of a nonlocal boundary value problem
p. 1450-1453
Disintegration of continuous solutions of a quasilinear integro-differential equation
p. 1454-1456
Application of explicit difference schemes for integration of nonlinear equations of parabolic type
p. 1456-1459
The fundamental matrix of solutions of a system of partial differential equations
p. 1459-1461
Approximate zero-controllability of systems with aftereffect of neutral type
p. 1461-1464
Solution of a nonlinear problem with a moving boundary of the dynamics of viscoplastic media
p. 1465-1466

Sommaire du Fascicule no. 9

Asymptotic expansion of solutions of systems of ordinary differential equations with a parameter
p. 1475-1479
Stability of an equation of neutral type with variable delay
p. 1480-1489
Generic properties of conditional exponential stability. XII
p. 1489-1498
Asymptotic properties of solutions of a system of Emden–Fowler type
p. 1498-1504
Dependence of the control set on the target point
p. 1504-1508
Formal orbital normal forms of two-dimensional systems with nonzero linear part
p. 1509-1516
Problems of optimal control connected with synthesis of laminar media
p. 1516-1523
On the question of the stability of functional-differential equations
p. 1523-1531
Structure of the neighborhood of a homoclinic contour with a saddle point of rest
p. 1531-1536
The interior transition layer in the solution of a system of first-order partial differential equations
p. 1537-1544
A parabolic system of quasilinear equations. II
p. 1544-1559
Vectors of exponential type in the operator calculus, and differential equations
p. 1559-1569
Refinement of the theorem on the existence of a classical solution of the mixed problem for a one-dimensional wave equation
p. 1569-1576
Nonuniqueness of a class of self-similar solutions of the Kuramoto–Tsuzuki equation
p. 1577-1582
Convergence of difference solutions to generalized solutions of the first boundary value problem for a fourth-order quasilinear equation in domains of arbitrary form
p. 1582-1590
A numerical method for solution of nonlinear problems of time-dependent transport
p. 1591-1596
The linearization method for solution of equations with discontinuous operators
p. 1596-1603
Solution of second-order evolution equations under Kreǐn–Fattorini conditions
p. 1604-1612
Singular points of systems with shocks
p. 1613-1615
Интегрирование некоторых классов вполне интегрируемых систем уравнений в частных
Estimates of the resolvent and the domain of definition of fractional powers of abstract differential operators
p. 1616-1618
Periodic solutions of second-order ordinary differential equations not solved with respect to the derivative
p. 1618-1621
Heat conduction across the boundary with nonlocal characteristics
p. 1621-1624
The Dirichlet problem for domains with rectangular cuts
p. 1624-1626
Solvability of the Tricomi problem for an equation of mixed type
p. 1627-1628
On the question of the absence of moving critical singular points in a special second-order system
p. 1628-1630
Investigation of the net method for a system of two parabolic equations with degeneration
p. 1630-1632
Summation of Abel–Poisson means of spectral decompositions corresponding to differential operators
p. 1633-1635
Asymptotics of the solution of the Neumann problem for the Helmholtz operator in the exterior of a thin body of revolution
p. 1635-1638
Theorems of Sturm type for linear systems of differential equations
p. 1639-1641
A multi-dimensional self-similar Stefan problem in linearized statement
p. 1641-1642
Realization of a given pencil of trajectories by means of systems of vector-functions
p. 1642-1645
Investigation of a convolution integral equation with variable coefficients
p. 1645-1648

Sommaire du Fascicule no. 10

Small-parameter methods and their application
p. 1659-1661
The method of boundary layer functions
p. 1662-1669
Tikhonov's theorem on passage to the limit and the regularization method
p. 1669-1679
Investigation of invariant toroidal manifolds of dynamical systems, and questions of automation of methods for investigating differential equations
p. 1679-1692
The theory of singular perturbations and some optimal control problems
p. 1693-1698
Asymptotic behavior of the solutions of certain classes of differential equations with a small parameter multiplying the derivatives in the case of a change in the stability of a stationary point in the plane of “rapid motions”
p. 1698-1701
Boundary value problems with initial jumps
p. 1701-1706
Optimization of the hunting process
p. 1706-1709
A bifurcation theorem in the theory of self-oscillations of distributed systems
p. 1709-1713
The averaging method in control problems
p. 1713-1717
Convergence in $L^2$ of solutions of systems with a small matrix multiplying the derivative
p. 1717-1723
Integral manifolds of singularly perturbed systems and some of their applications
p. 1723-1726
Some problems of the theory of singularly perturbed equations
p. 1726-1730
A generalization of Lyapunov's second method and an investigation of the stability of applied problems
p. 1730-1733
A difference scheme for a fourth-order ordinary differential equation with a small parameter multiplying the highest derivative
p. 1734-1742
Analytic and computational aspects of a block representation of operators in linear equations
p. 1743-1750
A singularly perturbed boundary value problem of elliptic type with nonsmooth angular boundary layer functions
p. 1751-1755
Periodic solutions of singularly perturbed equations of parabolic type
p. 1755-1760
Investigation of singularly perturbed boundary value problems by the method of matching asymptotic expansions
p. 1760-1766
Soliton-like asymptotics of internal waves in a stratified fluid with small dispersion
p. 1766-1775
Breaking of waves for the Whitham equation with singular kernel. II
p. 1775-1790
The boundary effect and the buckling of thin plates on a nonlinearly elastic base
p. 1790-1794
Asymptotic expansions of solutions of a parabolic equation with a small parameter
p. 1794-1798
Some singularly perturbed problems of gas dynamics and physical kinetics
p. 1798-1803
Numerical methods for solving singularly perturbed problems
p. 1804-1806
The Cauchy problem for a spatially inhomogeneous equation of coagulation taking diffusion into account
p. 1806-1808
Asymptotic solution of a problem on the motion of a rigid body in a magnetic field
p. 1808-1811
A new approach to the investigation of linear singularly perturbed problems in the presence of identically multiple and imaginary points of the spectrum
p. 1811-1814
Singularly perturbed linear differential equations in a Banach space
p. 1814-1817
The Whitham equation with a singular kernel and small interaction
p. 1818-1819
Asymptotic solution of a problem of modeling heat and mass exchange in interpenetrating media
p. 1819-1821
Construction of asymptotic solutions of singularly perturbed linear systems
p. 1822-1823
Asymptotics of solutions of the Cauchy problem for a singularly perturbed system
p. 1823-1825
Some problems in the theory of partial differential equations containing a small parameter multiplying the highest derivatives
p. 1826-1828
Коллоквиум по качественной теории дифференциальных уравнений
p. 1829-1832

Sommaire du Fascicule no. 11

Some questions of the spectral analysis of a nonselfadjoint differential operator with a “floating” singularity in the coefficient
p. 1843-1849
Existence of polar and pseudopolar solutions of autonomous systems of three differential equations. I
p. 1849-1857
Bifurcation equations for the existence of periodic solutions of periodic Pfaffian systems
p. 1857-1867
Properties of higher-order central exponents
p. 1867-1884
A class of boundary value problems reducible to an equation with a heterotonic operator
p. 1884-1891
Stability of a system of the first class with zero first diagonal coefficient
p. 1891-1898
Fourier approximations of periodic solutions of nonlinear differential equations
p. 1899-1904
Generic properties of conditional exponential stability. XIII
p. 1905-1915
Asymptotic behavior as $t\to\infty$ of the solution of the Cauchy problem for a nonlinear differential-difference Schrödinger equation
p. 1915-1926
Solution of a boundary value problem of interaction of electrons with a Redmond field
p. 1926-1933
On the controllability of autonomous Pfaffian systems
p. 1933-1939
Elliptic problems with discontinuous coefficients in the boundary operators
p. 1940-1947
A nonlinear problem of laser thermochemistry. I
p. 1947-1958
Uniqueness of the solution of linear boundary value problems for a second-order degenerate parabolic equation in an unbounded domain. I
p. 1959-1970
Solutions of nonlinear boundary value problems of the shallow theory of shells of revolution
p. 1970-1977
Boundary control in the Dirichlet problem for linear elliptic systems of first-order differential equations
p. 1978-1988
Interaction of populations in a model close to the Volterra model
p. 1989-1991
Numerical solution of a class of operator equations of the first kind
p. 1991-1993
Continuity of the coefficient of reflection of a one-dimensional Schrödinger equation
p. 1993-1995
Оценка модуля решения линейного уравнения второго порядка
p. 1995-1997
The mean-value formula for eigenfunctions of a singular second-order differential operator
p. 1998-2001
Functions on a parabolic cylinder with a negative integer index
p. 2001-2003
A boundary value problem for a degenerate hyperbolic equation
p. 2003-2005
Necessary and sufficient conditions for formal reducibility
p. 2006-2007
Exponential stability of solutions of a linear stochastic system for the Lappo–Danilevskiǐ case
p. 2007-2010
Regularization for a two-dimensional Abel integral equation
p. 2011-2012
О семинаре по качественной теории дифференциальных уравнений в Московском университете
p. 2013-2017
Viktor Dmitrievich Kupradze
p. 2018-2019

Sommaire du Fascicule no. 12

Some sufficient conditions for the existence of periodic and of bounded solutions of second-order nonlinear differential equations
p. 2027-2036
Solution of a certain Cauchy problem connected with the motion of an electron in a plane wave
p. 2036-2046
An estimate of exponential stability of systems with delay by the method of approximating systems
p. 2046-2052
A nonlinear spectral problem that generates a complete system
p. 2052-2057
The existence of structurally stable global oscillators in a class of sixth-order dynamical systems
p. 2057-2063
The minimum number of vector fields forming a control system with given properties
p. 2063-2068
Differential equations in a neighborhood of a stable invariant manifold in a Banach space
p. 2068-2071
Limit cycles of a two-dimensional autonomous system with quadratic nonlinearities
p. 2072-2082
Three-point controllability of stationary Pfaffian systems
p. 2082-2086
Approximate controllability of systems of delaying type in a class of positive controls
p. 2087-2096
A nonlinear problem of laser thermochemistry. II
p. 2097-2105
The Dirichlet problem for the Poisson equation in an angular domain
p. 2105-2114
A general problem on the plane diffraction of an electromagnetic wave falling obliquely on a circular disk lying on the interface of two media
p. 2114-2124
Asymptotic behavior of the solution of the third exterior mixed problem for the equation $u_t=\eta\Delta u_t+\Delta u$
p. 2124-2130
Convergence of iterative methods for solving implicit difference schemes for a nonlinear equation of heat conduction
p. 2131-2137
A numerical process of approximation by polynomials of solutions of Volterra integral equations of the second kind
p. 2137-2145
Investigation of the convergence of the solution of a difference scheme with weights to the generalized solution of the vibrating string equation in the class $W_2^2(Q_T)$
p. 2145-2152
Convergence of a family of explicit parametric schemes for Navier–Stokes equations
p. 2152-2158
A difference scheme for a fourth-order elliptic equation with a small parameter multiplying the derivatives
p. 2159-2165
A type of stability of phase systems with nonlinear modulated characteristic
p. 2166-2167
A difference scheme on a mesh of characteristic surface elements for the solution of a two-dimensional problem of gas dynamics
p. 2168-2170
On extendability of solutions of functional-differential equations with delay depending on the unknown function
p. 2171-2173
Classification of formal periodic systems
p. 2173-2175
Finding a limit cycle in a system of differential equations describing a model of a periodic trimolecular chemical reaction
p. 2175-2177
Application of tangent transformations to first-order ordinary differential equations
p. 2177-2181
A boundary value problem for the wave equation in a tetrahedral domain
p. 2181-2184
Integration of systems of differential equations connected with homogeneous spaces
p. 2184-2187
Completeness of the system of root functions of boundary value problems for elliptic operator-differential equations with operators in the boundary conditions
p. 2187-2188