Geodesic

Sommaire du Fascicule no. 1

Smoothness of a $2m$-parabolic potential of a simple layer
p. 3-10
The basis property of some systems of exponentials of cosines and sines
p. 10-16
Construction of regularizers for elliptic boundary problems on the plane
p. 16-23
Perturbations of the point spectrum
p. 23-30
Stabilization of a solution of the Cauchy problem for parabolic and hyperbolic equations
p. 30-39
Problems of the continuation of functions in connection with averaging theory
p. 39-50
A nonlocal boundary value problem for a two-dimensional Stokes system
p. 50-60
The Dirichlet problem and nonlocal boundary value problems for the wave equation
p. 60-65
Solvability in the class $L_2$ of a problem with a boundary condition on a characteristic for a hyperbolic equation with order degeneration
p. 66-75
Some results concerning Cauchy problems for overdetermined systems of linear differential equations
p. 75-85
Estimates that are sharp with respect to order for eigen- and associated functions of an elliptic operator and their derivatives
p. 85-93
Solution of the Tricomi problem in special domains
p. 93-103
Regularized traces of a differential operator of Sturm--Liouville type with retarded argument
p. 103-109
A study of problems of the uniqueness of solutions in some nonlinear inverse problems in hydrodynamics
p. 109-120
Model nonlocal problems for elliptic equations in dihedral angles
p. 120-131
Boundary properties of Cauchy-type integrals
p. 131-136
A complex-analytic Cauchy problem in a bounded domain
p. 136-147
The unconditional basis property of root vectors of nonlocal problems for systems of equations with deviating arguments
p. 147-153
Uniqueness of the classical solution of a mixed problem for a hyperbolic equation with unbounded lower coefficients
p. 154-157
The Riquier--Tricomi problem for a disk
p. 157-160
The basis property of root vectors of discontinuous second-order operators in a space of vector-functions
p. 160-163
On some eigenvalue problems for an equation of mixed type
p. 163-167
Summability of root vector series of nonlocal elliptic problems by the Abel method
p. 167-168
A boundary value problem for an equation of moisture transfer
p. 169-171
Some properties of root vectors of a binomial fourth-order differential operator
p. 171-174
Solution of a boundary value problem for a parabolic system on a plane by the method of boundary integral equations
p. 174-175
A problem for harmonic functions with boundary values of a higher-order normal derivative
p. 175-177
Some conditions for the solvability of equations of convolution type
p. 178-179

Sommaire du Fascicule no. 2

Description of the behavior of higher sigma-exponents of a triangular system and of a system of its diagonal approximation
p. 187-205
Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. I
p. 205-213
Stability with respect to the first approximation of systems with linearly time-dependent delay
p. 214-218
Stability of the trivial solution of some classes of systems of functional-differential equations of retarded type
p. 219-224
Some applications of the theory of an abstract functional-differential equation. II
p. 224-232
Optimal design in a smooth linear time-optimality problem
p. 232-237
Modeling controls and coefficients in parabolic evolution systems
p. 237-246
Two-sided solutions of linear functional-differential equations
p. 246-250
Phase spaces of a class of operator semilinear equations of Sobolev type
p. 250-258
Analytic spectral problems
p. 258-267
Lorentz-invariant solutions of a pseudodifferential Schr\"odinger equation
p. 268-271
A singularly perturbed system of equations of elliptic type
p. 271-278
A generalization of the concepts of uniform stabilization and uniform closeness of solutions of the Cauchy problem
p. 279-287
Extremal properties of solutions of a class of parabolic systems and their applications
p. 287-297
$G$-compactness of a class of first-order elliptic systems
p. 298-305
A characterization problem for a class of second-order hyperbolic systems with a characteristic line of degeneration
p. 305-313
A variant of the method of variable directions for the solution of multidimensional problems in mathematical physics. I
p. 314-323
The rate of convergence of the Bubnov--Galerkin method for hyperbolic equations
p. 323-333
A method for numerical solution of integral equations on a random grid
p. 333-341
Necessary conditions with matrix impulses for a Goursat--Darboux system
p. 342-343
On the divergence of transformations in the averaging method
p. 343-345
Second order systems with quadratic nonlinearity of Painlev\'e type
p. 345-348
Periodic solutions of Hamiltonian systems
p. 348-350
Solution of a boundary value problem for Poisson and Laplace equations with boundary conditions of the fourth kind on concentric boundaries of constant radius
p. 351-353
Normal forms of systems of linear differential equations with bifurcating Fuchsian singularities
p. 353-356
Eigenfunction expansion of a class of nonsmooth differential operators
p. 356-358
On the oscillatory character of the kernel connected with the Green’s function of a multi-point problem
p. 358-360
Abdel'khak Safiullovich Galiullin (on the occasion of his 70th birthday)
p. 361-362

Sommaire du Fascicule no. 3

Stability criteria for a class of systems of differential equations
p. 371-374
A quasilinear boundary value problem in the case of nondegeneracy of the homogeneous problem
p. 374-381
Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. II
p. 381-386
The optimal control method in an extremal problem in a class of solutions of the L\"owner--Kufarev equation
p. 386-392
Construction of the asymptotics of the solution of a singularly perturbed Cauchy problem in which the initial values of the ``fast'' variables are unbounded with respect to the parameter
p. 393-401
On the existence of the $\epsilon$-$\beta$-core in dynamic games of fixed duration
p. 401-408
The method of sectors in the proof of Lyapunov instability
p. 408-414
On the theory of complete controllability of linear time-dependent systems
p. 414-420
Auxiliary and central exponents of linear systems with coefficients that are perturbed by white noise
p. 420-427
The Dirichlet problem for the Poisson equation in generalized weighted H\"older spaces
p. 428-437
The Gellerstedt problem for a parabolic-hyperbolic equation in a three-dimensional space
p. 438-448
Solvability in the large of a system of reaction-diffusion equations with the balance condition
p. 448-458
The d'Alembert representation and the equipartition of energy
p. 458-464
On the asymptotic behavior near the boundary of the solution of a singular boundary value problem for a semilinear elliptic equation
p. 465-468
Generalized solutions of some degenerate equations of parabolic type
p. 468-478
On the loss of smoothness of the solution of a mixed problem with an oblique derivative for the wave operator
p. 478-488
The maximum principle for systems of second-order equations of mixed type
p. 488-494
Averaging of a system of Prandtl equations
p. 495-501
Estimation of the growth of solutions of some quasilinear elliptic inequalities
p. 501-507
Solutions of a spatially inhomogeneous equation of coagulation taking into account particle breakdown
p. 508-513
Linear integral equations of the third kind in weighted $L_2$ spaces.~I
p. 514-521
On the regularization of integral equations of the first kind of Volterra type
p. 521-530
Symmetries and first integrals of dynamical systems
p. 531-532
Asymptotics of the spectral function of an ordinary differential operator
p. 533-534
Correct solvability of general mixed problems
p. 534-537
Solvability of the vector Helmholtz equation in orthogonal coordinate systems
p. 537-540
Asymptotic behavior of singular solutions of the second Painlev\'e equation as $x\to\pm\infty$
p. 540-542
A case of the integrability of the Riccati equation
Integrating factors and limit cycles
p. 542-544
On the Cauchy problem corresponding to a linear system of differential equations with random coefficients
p. 545-546

Sommaire du Fascicule no. 4

Frequency estimates for the Hausdorff dimension of the attractors of nonlinear systems
p. 555-563
Effective sufficient conditions for uniform local controllability
p. 563-572
Singularly perturbed systems that contain singular manifolds, and isolated stable roots
p. 573-578
Vanishing Kneser solutions of the Emden--Fowler equation
p. 578-585
The perturbation method for the asymptotic solution of a quasilinear time-optimality problem
p. 585-594
Frequency criteria for the existence of periodic solutions for systems with integral constraints
p. 594-599
On the solution of the Cauchy problem for infinite systems of differential equations that describe the process of multiphoton collisionless excitation of molecules
p. 600-607
On a construction of an extension of a control problem with integral constraints
p. 607-618
On a third-order nonlinear differential equation
p. 618-621
On the problem of continuous stabilization of nonstationary objects
p. 622-625
Asymptotics of integral manifolds and the decomposition of singularly perturbed systems of neutral type
p. 626-639
Some parabolic and elliptic equations in a Hilbert space
p. 640-652
The existence of a solution of traveling wave type for the Belousov--Zhabotinski{\v\i} system of equations
p. 652-660
Diffusion of fractional order
p. 660-670
Properties of generalized solutions of some degenerate equations of parabolic type
p. 670-676
Elliptic inequalities for thin elastic bodies with a small friction coefficient
p. 677-687
On the global hypoellipticity property of a higher-order differential operator
p. 687-692
On the continuation of microlocal smoothness of solutions of boundary value problems for a second-order hyperbolic equation
p. 692-699
Analyticity of linear one-parameter Lie--B\"acklund groups
p. 699-702
On the behavior of solutions of a mixed boundary value problem for higher-order quasilinear elliptic equations of divergence type
p. 703-706
On the Lyapunov stability of the Cauchy problem for linear partial differential systems
p. 706-709
Sufficient conditions for the stability of solutions of some classes of ordinary differential equations in critical cases
p. 709-712
On the spectrum of ordinary differential pencils
p. 712-714
A system of nonorthogonal polynomials for constructing a solution of the Riquier problem in a ball for a semiharmonic equation
p. 714-718
On a geometric result in problems of periodic optimization
p. 718-721
Bifurcations and perturbations of an integral ``torus-sphere'' manifold
p. 721-723
Solution of a linear partial differential system by the methods of $F$-monogenic functions
p. 724-727
Estimates for and asymptotic behavior of solutions of a two-dimensional boundary value problem for the Helmholtz equation with a coefficient that depends weakly on a variable
p. 727-729
Some expansions of arbitrary functions in integrals with respect to functions of a parabolic cylinder

Sommaire du Fascicule no. 5

Nikola{\v\i} Pavlovich Erugin
p. 739-740
On uniqueness and completeness theorems for expansion in eigen- and associated functions of a nonlocal Sturm--Liouville operator on a finite interval
p. 741-753
Singular perturbations in a stochastic linear-quadratic optimal control problem
p. 753-759
Solvability of a class of differential equations in a space of functions that are analytic in a nonconvex domain and that have a given order of growth
p. 760-769
Differential equations of orthogonal Bernstein--Szeg{\H o} polynomials
p. 769-776
Asymptotic behavior of the solutions of a second-order semilinear differential equation
p. 776-787
Isomonodromic deformations of Fuchsian families of systems of linear differential equations with bifurcation poles
p. 787-800
The existence of a hyperbolic integral set of a special periodic system
p. 800-808
Bifurcation values of the parameters of a system
p. 808-814
The appearance of integral manifolds of genus $n\geq 1$ and of homoclinic structures from an infinitely distant part of the space
p. 814-822
The Cauchy problem for the generalized Korteweg--de Vries equation with periodic initial data
p. 823-829
Applications of parabolic Pagni potentials to boundary value problems in mathematical physics. I
p. 829-841
On a question on the generalized Tricomi problem that arises in the theory of the Laval nozzle. I
p. 841-851
On the scattering problem for the Schr\"odinger operator with singular potential in the two-dimensional case. I
p. 851-860
The Tricomi problem for a model system of equations in domains of special forms
p. 860-872
Frequency criteria for dissipativity of integral equations
p. 873-878
On the solvability and structure of the solution space of singular integral equations with involution
p. 879-890
Linear integral equations of the third kind in weighted $L_2$ spaces.~II
p. 890-897
On a class of effective difference schemes for solving elliptic equations in a domain of arbitrary form
On the theory of coercive stability of two-layer difference schemes
p. 898-900
An approach to the analysis of the stability of nonlinear systems
p. 900-903
Solution of a system of Volterra integral equations of first kind with a special function in the kernels
p. 903-904
Periodic solutions of one-dimensional and two-dimensional systems of differential equations with impulses
p. 904-906
On representations of solutions of Riccati matrix differential equation
p. 906-907
Bounded almost periodic and periodic solutions of a first-order linear singularly perturbed hyperbolic system
p. 907-909
Kneser solutions of the generalized Emden--Fowler equation
p. 910-912
On the structure of the Levinson center of a dissipative dynamical system with the hyperbolicity condition on the closure of the set of recurrent motions
p. 913-914

Sommaire du Fascicule no. 6

Exponents of solutions of linear functional-differential equations
p. 923-931
A boundary value problem for a fourth-order system
p. 931-933
Exponentially decreasing perturbations that preserve the characteristic exponents of a linear diagonal system
p. 934-943
On the necessary conditions for the basis property
p. 943-953
Conditions for second-order optimality in Goursat--Darboux systems in the presence of constraints
p. 954-965
The nonwandering set of a special periodic system
p. 966-975
The rate of equiconvergence for differential operators with a nonzero coefficient multiplying the $(n-1)$st derivative
p. 975-989
The structure of the set of almost instantaneous zero-attainability
p. 989-997
Nonlocal boundary value problems for an elliptic-parabolic equation
p. 998-1007
Steady flows in vortex chambers
p. 1007-1014
The Dirichlet problem for elliptic equations in domains with conical points
p. 1014-1023
Construction in explicit form of solutions of the Darboux problems for the telegraph equation and its application in the inversion of integral equations. I
p. 1023-1032
Differential properties of extremals of variational problems that arise in the theory of plasticity
p. 1033-1044
Pseudodifferential operators on non-Archimedean spaces
p. 1044-1054
Efficient schemes with explicit identification of a front for multidimensional problems with free boundaries. I
p. 1055-1066
Application of the d'Alembert method in numerical analysis
p. 1067-1073
A problem on a piston in the motion of a fluid with a free surface in a channel of circular cross section
p. 1074-1080
On the center of attraction of a quasilinear nonautonomous system in a critical case
p. 1081-1084
On unique solutions of differential equations
p. 1084-1085
On the theory of a homogeneous third-order equation
p. 1085-1086
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1087-1097
Konstantin Sergeevich Sibirski{\v\i}
p. 1098-1100

Sommaire du Fascicule no. 7

Some problems for an ordinary differential equation that arise in gas dynamics
p. 1107-1110
An existence theorem for a solution of a self-similar problem on a semi-infinite interval
p. 1110-1116
A method for constructing invariant functions and the study of phase portraits of dynamical systems on a computer
p. 1116-1126
The monotonicity property for a quasilinear degenerate parabolic equation
p. 1127-1136
Existence of solutions of a system of nonlinear Schr\"odinger equations
p. 1137-1147
Self-similar solutions and inverse problems for quasilinear parabolic equations
p. 1148-1153
The periodic heat flow in a hollow cylinder
p. 1153-1160
Application of the method of the separation of variables for solving equations of mixed type
p. 1160-1172
The use of pseudosymmetries for constructing exact solutions of differential equations
p. 1173-1178
A variant of the method of variable directions for the solution of multidimensional problems in mathematical physics. II
p. 1179-1191
Convergence of the spline-collocation method for singularly perturbed boundary value problems on locally uniform grids
p. 1191-1197
Iterative methods of domain decomposition with overlap for elliptic boundary value problems
p. 1197-1207
A study of the nonlinear evolution of resistive spiral modes by the method of projection onto an unstable manifold
p. 1208-1216
Uniform stability of difference schemes for a nonclassical boundary value problem with variable coefficients
p. 1217-1224
Preconditioning of the method of conjugate gradients for solving discrete analogues of differential problems
p. 1225-1236
Numerical construction of stability boundaries for systems of second-order differential equations with delay
p. 1236-1240
A class of difference schemes on composite grids for non-steady-state problems in mathematical physics
p. 1241-1254
Realization of exact three-point difference schemes for second-order ordinary differential equations with piecewise-smooth coefficients
p. 1254-1265
Existence of solitary vortices in a zonal flow
p. 1265-1271
Nonconformal finite elements for a hyperbolic equation with a long memory
p. 1272-1274
On the numerical solution of a Tricomi-type problem for equations with two lines of degeneracy with continuous coefficients
p. 1275-1277
Analytic solution of a three-dimensional time-dependent heat conduction problem with heat conduction tensor
p. 1277-1279
Aleksandr Andreevich Shestakov (on the occasion of his 70th birthday)
p. 1280-1283

Sommaire du Fascicule no. 8

Behavior of solutions of Hamiltonian systems in a neighborhood of the equilibrium position in cases of resonance
p. 1291-1299
A generalized contraction mapping principle, and infinite systems of differential equations
p. 1299-1309
Optimality conditions in nonlinear inertial control systems with delay
p. 1309-1315
Special nonlinear differential equations in generalized functions
p. 1316-1323
On the Conti problem for intersections of sets $L^pS$ of linear systems
p. 1323-1334
Chain prolongations in typical dynamical systems
p. 1334-1337
Systems of linear differential equations that are regular on the whole axis
p. 1338-1343
Perturbations of linear systems with quasiperiodic coefficients
p. 1343-1348
Asymptotic solutions of systems of differential equations in the case of purely imaginary eigenvalues
p. 1348-1351
Asymptotic properties of solutions of nonautonomous functional-differential equations
p. 1351-1358
Exponential stability of solutions of multidimensional differential equations
p. 1358-1363
Mixed problems for conjugation of parabolic systems of different orders with nonlocal boundary conditions
p. 1364-1374
The generalized Dirichlet problem with a boundary function in the class $L_\nu^p$
p. 1375-1382
Classical solution of a mixed problem for a singular parabolic equation
p. 1382-1388
Removable singular sets for semilinear elliptic and parabolic equations
p. 1388-1396
The Tricomi problem for an equation of mixed type of the second kind in the case of a normal domain
p. 1396-1407
Invertibility of multidimensional singular integral operators over a half-space in weighted H\"older classes
p. 1408-1416
The Cauchy problem for a system of kinetic equations of the dynamics of a radiating gas
p. 1416-1423
Bounded and almost periodic solutions of linear integral equations. II
p. 1423-1432
On a system of integral equations in diffraction theory
p. 1432-1437
On the problem of the existence of optimal controls
p. 1437-1441
Some factorization problems for integral operators of convolution type
p. 1442-1452
A singularly perturbed problem with a noninvertible limit operator
p. 1453-1454
An initial-boundary value problem for a third-order hyperbolic equation
p. 1455-1457
Classical solution of the first boundary value problem for the heat equation in an angular domain
p. 1457-1459
The Feynman formula for systems of partial differential equations with constant or rapidly decreasing coefficients
p. 1460-1462
On an inverse problem for an equation of hyperbolic type
p. 1462-1464
On an asymptotic distribution of the negative part of the spectrum of one-dimensional differential operators
p. 1464-1466

Sommaire du Fascicule no. 9

The comparison method for differential equations with impulse action
p. 1475-1483
Some identities for eigenvalues and eigenfunctions of a class of fourth-order differential operators
p. 1483-1490
Positivity of the Cauchy function and stability of linear differential equations with aftereffect
p. 1490-1500
An analogue of the Newton diagram method for a class of singularly perturbed differential equations.~II
p. 1500-1509
``Hereditary'' properties of systems of operator equations
p. 1510-1521
Optimal trajectories of differential inclusions in a problem with constraints on the ends of the trajectories
p. 1521-1528
Testing the transversality condition by the methods of symbolic dynamics
p. 1528-1536
A spectral problem that is connected with an equation of viscous sound
p. 1536-1541
A class of linear differential and discrete games between groups of pursuers and evaders
p. 1541-1551
Estimates for the solutions of an ordinary differential equation with a parameter and functional conditions
p. 1551-1562
On an inverse problem for the Laplace operator with continuous potential
p. 1563-1567
A three-point mixed problem with an integral condition with respect to the space variable for second-order parabolic equations
p. 1568-1575
The Tikhonov problem for second-order linear parabolic equations
p. 1576-1585
Boundary value problems for systems of third-order differential equations
p. 1585-1589
Some integral expansions of an arbitrary function in Legendre function
p. 1589-1598
Solvability of linear differential equations in scales of Roumieu spaces that are constructed by means of a given unbounded linear operator
p. 1598-1608
Estimates for potentials with oscillating kernels that are connected with the Helmholtz equation
p. 1608-1613
On a problem of determining the parameter of an evolution equation
p. 1614-1621
Solvability of the Dirichlet problem for multidimensional elliptic systems
p. 1621-1626
Uniqueness classes of generalized solutions of boundary value problems for parabolic equations in unbounded noncylindrical domains
p. 1627-1633
$L_2$-estimates of the solution of model initial-boundary value problems for a system of two equations of general form with mixed parabolic-elliptic structure
p. 1634-1635
Asymptotic expansion with respect to the small parameter of the solution of an equation of elliptic type with a discontinuous coefficient and right-hand side
p. 1636-1637
An inverse problem of spectral analysis on a half-line for a differential equation in a certain class
p. 1638-1640
Existence of solutions that are smooth with respect to the parameter for singularly perturbed equations
p. 1641-1643
Numerical solution of a nonlinear Poisson equation for an electric potential in semiconductors
p. 1643-1645
Investigation of the stability of linear differential-functional equations of retarded type by the method of Lyapunov functions
p. 1645-1646
Exponential decrease of the solutions of linear systems with deviating argument of neutral type
Analytic structure of solutions of the Sturm--Liouville problem with regular singularities
p. 1648-1650

Sommaire du Fascicule no. 10

The space of dynamical systems with $C^0$-topology
p. 1659-1670
A topological method for proving the existence of positive periodic solutions for functional-differential equations
p. 1671-1678
Averaging functional-differential inclusions
p. 1678-1690
Strongly invariant sets and periodic solutions of a differential inclusion
p. 1690-1699
Componentwise applicability of Chaplygin's theorem to a system of linear differential equations with delay
p. 1699-1705
Conditions for the boundedness of solutions of some linear systems
p. 1705-1711
Smoothness of solutions of differential equations that contain a parameter
p. 1711-1716
Entire functions that satisfy linear differential equations
p. 1716-1722
Expansion of an arbitrary function in series in squares of Hermite polynomials
p. 1722-1729
Existence of solutions of boundary value problems for a second-order equation
p. 1729-1737
Differentiable dependence of solutions of differential inclusions on the initial data
p. 1737-1743
Conditions for the problem of the center and focus to arise for an $A_3$-system
p. 1743-1753
Control of the probability of a system entering a given region
p. 1753-1758
Singular redefinitions of discontinuous systems, and stability
p. 1759-1765
A method for solving differential equations with operator coefficients
p. 1766-1777
On an inverse problem of diffraction
p. 1777-1783
Periodic and bounded solutions of evolution problems in the mechanics of viscoplastic media
p. 1784-1792
Higher approximations of the averaging method for a convection problem in a field of rapidly oscillating forces
p. 1792-1800
On the completeness of root vectors of a linearized problem on the dynamics of nuclear reactors
p. 1800-1805
A class of elliptic systems in the plane with a singular point
p. 1805-1816
Stability of two-dimensional differential inclusions
p. 1817-1818
Uniqueness of the solution of the Cauchy problem for degenerate elliptic equations
p. 1818-1821
Construction of the asymptotics of the solutions of a singularly perturbed boundary value problem with boundary values, unbounded with respect to the parameter, of the unknown functions
p. 1822-1824
Normalization of some equations of Wiener--Hopf type
p. 1824-1826
Systems of differential and algebraic inequalities connected with a control problem
p. 1826-1828
A Riemann contact problem
p. 1828-1830
Criteria for unsafe and safe boundaries of the domain of stability of systems with delay in the case of a zero root
p. 1830-1832
Международная научная школа «Метод функций Ляпунова и его приложения»
p. 1833-1834
Рецензия на монографию А.\,А.~Шестакова «Обобщенный прямой метод Ляпунова для систем с~распределенными параметрами» (М.: Наука, 1990)

Sommaire du Fascicule no. 11

Nonlinear analysis of the dynamics and control of complex systems with distributed parameters
p. 1843-1859
A generalized Green operator and solvability of resonance problems
p. 1860-1864
Linear impulsive functional-differential equations
p. 1864-1872
Functional-differential inclusions with a nonconvex right-hand side
p. 1872-1878
Stability of the zero solution of a second-order nonlinear nonautonomous equation
p. 1878-1884
Construction of the laws of motion with prescribed integrals
p. 1884-1887
Strongly and weakly invariant sets with respect to a differential inclusion, their derivatives and application to control problems
p. 1888-1894
A stability problem in one critical case
p. 1895-1898
Properties of the coefficient of nonregularity of linear systems
p. 1899-1906
Necessary and sufficient conditions for optimality in a time-optimality problem with phase constraints
p. 1906-1913
Methods for constructing positional controls, and a feasible maximum principle
p. 1914-1924
On a theory of the controllability and completeness of systems of difference equations in the presence of constraints on the control and on the initial conditions
p. 1924-1936
A game-theoretic problem of guidance in systems that are discontinuous with respect to the controls
p. 1936-1943
Necessary conditions for optimality in a problem of the entry of a controllable random process into a given domain
p. 1943-1949
Stability with respect to some of the variables of systems that decompose in the absence of perturbations
p. 1949-1955
Oscillation of solutions of linear differential equations in spaces of constant curvature
p. 1956-1961
Perturbations of a nonlocal problem for differential equations with pseudodifferential coefficients
p. 1962-1971
Theorems of Phragm\'en-Lindel\"of type for second-order linear elliptic equations of divergence type with a positive right-hand side
p. 1971-1978
An estimate for the number of negative eigenvalues of the Schr\"odinger operator by means of weighted Hardy inequalities
p. 1978-1982
The first and second boundary value problems in an integral formulation for a second-order parabolic equation
p. 1982-1992
A problem of the dynamics of a viscoelastic incompressible fluid
p. 1992-1998
A lower bound on the Hausdorff dimension of homoclinic structures on the plane
p. 1999-2000
Zeros of eigenfunctions of the Schr\"odinger operator with a singular potential
p. 2000-2002
Duality in filtration problems and optimal control in case of incomplete information on the entry for systems with delay
p. 2002-2004
Solutions of quasi-elliptic equations in a cylinder that satisfy the Neumann condition on the noncompact part of the boundary
p. 2004-2006
Solution of boundary value problems on a graph by the operational method
p. 2006-2008
Transformation operators in a star-shaped domain of solutions of some integro-differential equations of higher orders
p. 2009-2011
Application of local functions in solving boundary value problems of mathematical physics
p. 2011-2013

Sommaire du Fascicule no. 12

On the stability in the critical case of a zero root and of a pair of purely imaginary roots of a nonautonomous $n$th order quasilinear equation
p. 2027-2046
Regularized trace formulas for operators with compact resolvent
p. 2046-2051
On the rate of convergence of the Faedo--Galerkin method for quasilinear nonstationary operator equations
p. 2051-2059
On the stable solution of inverse problems for nonlinear distributed systems. I
p. 2059-2067
On the convergence of the method of successive approximations in optimal control problems
p. 2068-2077
Differential inequalities in stability theory
p. 2077-2084
Integrability of a class of higher-order nonlinear evolution systems that admit a nonselfadjoint zero curvature representation. I
p. 2085-2088
Asymptotic expansion of the solution of the boundary value problem of heat conduction for a rotating cylinder
p. 2088-2093
The existence of solitary waves propagating in an elastoplastic space
p. 2093-2097
Sufficient stability conditions for the existence of global solutions of controllable boundary value problems
p. 2097-2109
A system of Gauss equilibrium equations
p. 2109-2121
A new direct method for solving integral equations of the first kind
p. 2122-2127
Uniform invertibility of regular approximations of one-dimensional singular integral operators with noncompact perturbations
p. 2127-2136
Functional operators with a shift
p. 2136-2145
A difference method for solving a problem in the theory of dispersion waves
p. 2146-2153
A scheme of fourth-order accuracy in a spectral problem with variable coefficients
p. 2153-2157
The maximum principle for difference equations
p. 2157-2162
A priori $L_2$-estimates for the solution of an initial-boundary value problem for a system of two equations of general type that has a mixed parabolic-elliptic structure
p. 2163-2165
On the solution of problems of ideal observation in time-dependent systems with retarded argument
p. 2165-2167
Periodic solutions of differential systems whose period is incommensurable with the period of the system itself
p. 2167-2170
Some properties of the Richardson extrapolation
p. 2170-2173
An analogue of Dubinski{\v\i}'s theorem for differential equations on an infinite-dimensional superspace
p. 2173-2176
A functional equation for harmonic functions in a multiply connected domain
p. 2176-2178
On the solvability of problems of acoustics of open waveguides
p. 2178-2180
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2181-2189
Obituary: Te{\v\i}muraz Ambros'evich Chanturiya
p. 2190-2191