Geodesic

Sommaire du Fascicule no. 1

On a stability criterion for solutions of systems of nonlinear differential equations
p. 3-10
Solution of the center-focus problem for a cubic system reducible to a lienard system
p. 11-22
Bounded positive solutions of nonlinear second-order differential equations
p. 23-32
On the asymptotic expansion of a solution of a linear second-order differential equation with respect to a parameter
p. 33-47
On the norms of Riesz projections onto subspaces of root functions of a boundary value problem for a functional-differential expression
p. 48-60
A parabolic variational inequality in unbounded domains
p. 61-78
Generalized solutions of the integral equations of a scalar diffraction problem
p. 79-90
On a spectral problem for two hyperbolic systems
p. 91-100
Onset of solutions with internal layers approaching the domain boundary
p. 101-113
Characterization of one-dimensional tangent transformations in terms of differential relations
p. 114-119
Resonance elliptic variational inequalities with discontinuous nonlinearities
p. 120-125
Hoff equations on graphs
p. 126-131
On the smoothness of the solution of the boundary control problem at two endpoints for the string equation
p. 132-134
An instability theorem for a class of eighth-order differential equations
p. 135-138
On one property of two-scale convergence
p. 139-140

Sommaire du Fascicule no. 2

Isochronous and strongly isochronous oscillations of two-dimensional monodromic holomorphic dynamical systems
p. 147-152
On the unique solvability of a periodic boundary value problem for third-order linear differential equations
p. 153-158
Stability and strong stability of quasistationary linear Hamiltonian systems in total differentials with periodic coefficients
p. 159-167
On linear systems asymptotically equivalent under exponentially decaying perturbations
p. 168-173
On the 3/2 condition for the stability of solutions of scalar delay equations
p. 174-178
Eigenfunction expansions for a singular quasidifferential operator with simple eigenvalues
p. 179-187
A new estimate for the spectral function of the self-adjoint extension in $L^2(\mathbb R)$ of the
p. 188-201
On a modification of the small parameter method
p. 202-212
Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane
p. 213-220
Existence and asymptotic stability of a stationary solution of a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation
p. 221-232
The majorant method and the fixed point principle in nonlocal theory of the Cauchy problem for normal partial differential systems
p. 233-238
Autowave processes in a long line without distortions
p. 239-244
Problems for an ultrahyperbolic equation in the half-space with the boundedness condition for the solution
p. 245-251
The phase spaces of a class of linear higher-order Sobolev type equations
p. 252-260
On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain
p. 261-271
On a positive solution of a three-point boundary value problem
p. 272-274
On the properties of bogdanov perturbations of linear differential systems
p. 275-277
On the seminar on problems of nonlinear dynamics and control at Moscow State University
p. 278-284

Sommaire du Fascicule no. 3

On boundary value problems for systems of linear generalized ordinary differential equations with singularities
p. 291-301
On blow-up solutions of nonautonomous quadratic differential systems
p. 302-307
A generalized normal form and formal equivalence of two-dimensional systems with quadratic zero approximation: III
p. 308-319
On the Dirichlet problem for a second-order ordinary differential equation with discontinuous right-hand side
p. 320-326
The concept of evolutionary stability in ecological models
p. 327-337
On the construction of maximal stable bridges in a class of nonlinear differential encounter games
p. 338-346
On the singular and higher characteristic exponents of an almost periodic linear differential system with an affine dependence on a parameter
p. 347-355
On the solvability of the periodic problem for nonlinear second-order function-differential equations
p. 356-365
Construction of the reachability set of the Lotka--Volterra system
p. 366-373
Optimal stabilization in problems of adaptive nuclear kinetics
p. 374-384
The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind
p. 385-394
A singular elliptic boundary value problem in domains with corners: I. Function spaces
p. 395-403
Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
p. 404-415
The Dirichlet problem for a Petrovskii elliptic system of second-order equations
p. 416-422
Parabolic pseudodifferential equations
p. 423-424
Identification from frequency parameters
p. 425-428

Sommaire du Fascicule no. 4

On a system of two linear-fractional differential equations of order~$n$ with the Painlev\'e property
p. 435-440
On the relationship between the Carleman condition and the equivalence of norms of root functions on various compact sets
p. 441-447
A second-order linear system with a special monodromy group on $\mathbf{CP}^m$
p. 448-452
On the uniform local controllability of a nonlinear system to a trajectory
p. 453-462
On the higher exponent of linear systems with perturbations power integrable or small in mean with a monotone weight
p. 463-467
Structural stability and symbolic image
p. 468-475
On the averaging of differential equations on an infinite interval
p. 476-482
On the second-order Euler equation with bounded operator coefficients in a Banach space
p. 483-488
Local and global solvability of the quasilinear hyperbolic Stefan problem on the line
p. 489-503
On the dynamic potential theory for the equation of a weakly stratified fluid
p. 504-513
A singular elliptic boundary value problem in domains with corners: II. The boundary value problem
p. 514-520
On the solvability of stationary Fokker--Planck equations close to the Laplace equation
p. 521-530
Instability of stationary nonmonotone solutions of the reaction equation with diffusion depending on density
p. 531-539
On antisymmetric quasimodes of the Schr\"odinger operator in the $N$-particle problem
p. 540-548
Two-sided operator inequalities with nonmonotone operators
p. 549-552
On the exponential stability of the zero solution of an almost linear system of finite-difference equations
p. 553-555
On the study of a characteristic integral equation of the first kind with a logarithmic singularity
p. 556-559
On a nonlocal perturbation of a periodic eigenvalue problem
p. 560-562
On the solution of the Laplace equation with mixed boundary conditions
p. 563-566
Structure identification of a multidimensional plant
p. 567-569
Approximate determination of the stability domain of a linear delay differential equation with periodic coefficient
p. 570-571

Sommaire du Fascicule no. 5

Strong isochronicity of the Lienard system
p. 579-582
On the relationship between the integrated cosine function and the operator Bessel function
p. 583-589
On the higher characteristic exponent of a linear differential system linearly depending on a parameter
p. 590-598
The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative
p. 599-609
On the properties of the dispersion equations of moment systems for the Fokker--Planck equation
p. 610-619
Integration of telegraph equations
p. 620-629
A generalization of Lions' theory to first-order evolution differential equations with smooth operator coefficients: I
p. 630-640
On the location of the spectrum of a mixed boundary value problem for the Laplace equation in a half-disk
p. 641-652
On boundary value problems for a class of singularly perturbed equations of arbitrary odd order
p. 653-659
Equations with an unstable spectral value of the kernel of an integral operator and contrast structures
p. 660-673
Estimates for twisted convolution operators with singularities of kernels on a sphere and at the origin
p. 674-683
Some properties of solutions of the transport equation
p. 684-689
Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case
p. 690-700
Elliptic problems and finite-difference equations
p. 701-702
Solutions of the equations of motion of a nonviscous compressible fluid in a pipe
p. 703-706
On a nonclassical boundary value problem for a parabolic pseudodifferential equation
p. 707-709
On the number of frequencies needed for plant identification
p. 710-713
The solution of a nonlocal boundary value problem
p. 714-716

Sommaire du Fascicule no. 6

Conditions for the $k$-fold completeness ($0$) of root functions of an $n$th-order ordinary differential operator pencil
p. 723-730
The group of linear Hamiltonian systems in total differentials and strong stability of its stationary and periodic elements
p. 731-740
Representation of solutions of hybrid difference-differential systems
p. 741-755
Construction of periodic solutions of a nonlinear singularly perturbed system of differential equations with degeneration
p. 756-763
Eigenvalues and eigenfunctions of a differential operator with nonlocal boundary conditions
p. 764-768
Fundamental operator functions of singular differential operators under spectral boundedness conditions
p. 769-774
On a singularly perturbed system of first-order partial differential equations with various degrees of a small parameter
p. 775-789
On entire solutions of a semilinear elliptic equation on the plane
p. 790-800
Homogenization of variational inequalities for the biharmonic operator with constraints on $\varepsilon$-periodically arranged subsets
p. 801-813
The Cauchy problem for parabolic equations in Zygmund spaces
p. 814-819
A generalization of the Lions theory for first-order evolution differential equations with smooth operator coefficients: II
p. 820-826
On the unique solvability of wave systems in various classes of distributions
p. 827-839
Reduction to transversality of curves in the construction of a Dulac function
p. 840-843
On the critical parameter value for the higher sigma-exponent of linear differential systems
p. 844-846
Basis property in $L_p(0,1)$ of the system of eigenfunctions corresponding to a problem with a spectral parameter in the boundary condition
p. 847-849
A study of a pendulum-type delay equation
p. 850-851
On the seminar on qualitative theory of differential equations at Moscow State University
p. 852-860

Sommaire du Fascicule no. 7

Yurii Sergeevich Osipov (a tribute in honor of his seventieth birthday)
p. 867-873
A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
p. 874-882
Multicomponent vector decomposition schemes for the solution of multidimensional problems of mathematical physics
p. 883-894
On the accuracy of grid approximations to nonsmooth solutions of a singularly perturbed reaction-diffusion equation in the square
p. 895-906
Numerical methods for some one-dimensional equations with fractional derivatives
p. 907-913
Study of the norm in stability problems for nonlocal difference schemes
p. 914-923
An estimate for the global error of the adams method on long intervals
p. 924-931
Analysis of solution algorithms for the three-dimensional Navier--Stokes equations in the natural variables
p. 932-942
An adaptive upper relaxation method
p. 943-950
Error estimates for projection-difference schemes for degenerate nonstationary equations
p. 951-955
On some parallel iterative methods for solving elliptic equations on triangular grids
p. 956-968
Compatibility of norms in the analysis of difference schemes for the Samarskii--Ionkin problem
p. 969-978
The effect of viscous friction on pulse waves
p. 979-993
Stability and accuracy of implicit methods for stiff systems of linear differential equations
p. 994-1004

Sommaire du Fascicule no. 8

Invariant tori of the Duffing equation
p. 1011-1016
On fourth-order nonlinear differential equations with the Painlev\'e property
p. 1017-1026
On integrals of three-dimensional linear differential systems with skew-symmetric coefficient matrices
p. 1027-1034
A criterion for the asymptotic stability of singular differential systems by the linear diagonal approximation
p. 1035-1040
On the set of periods of periodic solutions of a model quasilinear differential equation
p. 1041-1051
Multidimensional analytic heat wave determined by a boundary mode
p. 1052-1062
On the spectrum of the Dirichlet problem for systems of operator-differential equations
p. 1063-1071
On the classical solvability of the mixed problem for a second-order one-dimensional hyperbolic equation
p. 1072-1077
The problem of control of a two-dimensional transformation of spatial arguments in a parabolic functional-differential equation
p. 1078-1091
On the index of the Dirichlet problem for elliptic systems on the plane
p. 1092-1105
Inverse problems for elliptic equations on the plane: I
p. 1106-1114
On the convergence of the dual-type iterative method for mixed variational inequalities
p. 1115-1122
On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor
p. 1123-1131
The Cauchy problem for fractional differential equations with worsening right-hand sides
p. 1132-1134
On the ill-posedness of structural identification
p. 1135-1137
On the asymptotics of solutions of boundary value problems for singularly perturbed linear systems on an infinite interval
p. 1138-1139
On the smoothness of the solution of the two-endpoint boundary control problem for the string equation on an arbitrary time interval
p. 1140-1142
On the seminar on problems of nonlinear dynamics and control at Moscow State University
p. 1143-1148

Sommaire du Fascicule no. 9

Integro-functional equations in the inverse source problem for the wave equation
p. 1155-1165
On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
p. 1166-1179
The Helmholtz equation outside cuts on the plane with the Dirichlet condition and a third-kind boundary condition on opposite sides of the cuts
p. 1180-1193
On a class of integral equations in the space of continuous functions
p. 1194-1200
Singular integrals with Cauchy type kernels and their application to a two-dimensional problem on the evolution of a fluid interface in an inhomogeneous layer
p. 1201-1213
On a class of linear integro-differential equations in variational derivatives
p. 1214-1221
Asymptotics of solutions of an integro-differential and an integral equation
p. 1222-1232
A singular integral equation with Hilbert kernel in a class of distributions
p. 1233-1242
Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind
p. 1243-1247
Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods
p. 1248-1255
Justification of the numerical solution of a hypersingular integral equation
p. 1256-1262
An instance of numerical solution of integral equations with singularities in the periodic case
p. 1263-1271
A scheme for the numerical solution of the modified Dirichlet problem in finite multiply connected domains and some applications
p. 1272-1281
An iterative approach to the numerical solution of the system of integral equations for boundary value problems for the scalar Helmholtz equation
p. 1282-1290
Solvability conditions for an integral equation with singular and logarithmic kernels
p. 1291-1292

Sommaire du Fascicule no. 10

Ivan Vasil'evich Gaishun (A tribute in honor of his sixtieth birthday)
p. 1299-1306
Functional observers for linear systems with uncertainty
p. 1307-1317
On radial solutions of completely integrable total differential equations
p. 1318-1323
On the global existence of solutions of fuzzy differential equations
p. 1324-1336
Asymptotic behavior of the density of the spectral measure of the Sturm--Liouville operator on the half-line with the boundary condition $y(0)=0$
p. 1337-1348
The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in H\"older spaces
p. 1349-1355
On a boundary value problem for the equations of a viscous heat-conducting gas in noncylindrical domains shrinking in time
p. 1356-1374
An a priori estimate for the solution of a mixed problem for the heat equation
p. 1375-1379
Nonlinear oscillations for the one-dimensional wave equation with a jump nonlinearity
p. 1380-1388
On the vanishing of solutions of quasilinear parabolic equations
p. 1389-1396
On the behavior of the boundary of a movable volume in a smooth flow of a compressible fluid
p. 1397-1404
Linearization method for the flatness problem and for finding the compatibility operator
p. 1405-1415
Generalized moment method for a class of integral equations of the third kind
p. 1416-1423
Reduced schemes for finding amplitudes in the discrete source method
p. 1424-1427
Bases of eigenfunctions of two discontinuous differential operators
p. 1428-1430
The direct and inverse problems for a differential-difference diffusion equation
p. 1431-1433
On a version of the directional derivative problem
p. 1434-1436

Sommaire du Fascicule no. 11

Controllability of nonlinear systems with constrained controls
p. 1443-1451
On the damping of a ladder-type vibration system subjected to uncertain perturbations
p. 1452-1463
On a stabilization algorithm for nonstationary linear discrete systems with a single input
p. 1464-1472
Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case
p. 1473-1480
On categories and foundations of the theory of nonlinear control dynamical systems: V
p. 1481-1489
The hyperbolic tangent law in optimal control synthesis for a nonlinear model with discounting
p. 1490-1506
Dynamical chaos in two-dimensional nonlinear nonautonomous systems of ordinary differential equations
p. 1507-1514
Realization of dynamical systems in scales of systems with aftereffect: I. Realizability
p. 1515-1523
A constructive study of identifiability and controllability of linear stationary differential-algebraic systems
p. 1524-1531
Geometric combinatorics of Kalman algebras
p. 1532-1538
Notions of coalitional conflict equilibria
p. 1539-1548
Asymptotic solution of the problem on nonstationary vibrations of a continuously stratified medium with small dissipation
p. 1549-1557
Minimization of the $L_p$-norm with arbitrary $p\ge1$ of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval~$T$
p. 1558-1570
On the seminar on qualitative theory of differential equations at Moscow State University
p. 1571-1580

Sommaire du Fascicule no. 12

Description of the mutual arrangement of singular exponents of a linear differential systems and exponents of its solutions
p. 1587-1603
Asymptotic optimization method for a quasilinear system with multidimensional controls
p. 1604-1611
On the Lyapunov characteristic exponents and lower Perron exponents of solutions of Coppel--Conti linear differential systems
p. 1612-1625
On the equations and properties of zero dynamics of linear controlled stationary systems
p. 1626-1636
A remark on the solution of the trajectory survival problem for a linear control system
p. 1637-1645
On the basis property of systems of root functions of regular boundary value problems for the Sturm--Liouville operator
p. 1646-1656
On the Stackelberg equilibrium in programmed strategies in linear differential games
p. 1657-1662
Control of a linear system under uncertainty with free goal reaching time
p. 1663-1671
Reachability set of a three-dimensional cascade control system
p. 1672-1679
Conflict generalized Pareto equilibria
p. 1680-1685
Stationary solutions in a closed distributed Eigen--Schuster evolution system
p. 1686-1698
Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval
p. 1699-1711
The asymptotic phase of a limit cycle
p. 1712-1713