Geodesic

Sommaire du Fascicule no. 1

A method of potential theory in boundary value problems for $2m$-parabolic equations in a semibounded domain with a nonsmooth lateral boundary
p. 3-9
Spectral problems
p. 9-16
A problem in the hydrodynamics of an ideal fluid that is connected with flotation
p. 16-21
Spectral theory of a problem of the small motions of an ideal compressible fluid in an elastic body
p. 21-32
Spline-forms, difference equations, approximation
p. 32-43
Stabilization of means with respect to time of the solution of the Cauchy problem for a parabolic equation
p. 44-54
A mixed-contact problem in the plane theory of elasticity in domains with a piecewise smooth boundary
p. 55-64
Averaging of a system of Beltrami equations
p. 64-73
An isotropic uniqueness theorem for the solution to the Cauchy problem for a second-order parabolic equation
p. 73-85
On a problem of the generalized solvability of the first Darboux problem
p. 85-91
On the theory of equations of mixed type with discontinuous coefficients. II
p. 91-105
The index of the Bitsadze--Samarski{\v\i} problem for harmonic functions
p. 105-110
A singular integral equation of the first kind for the Neumann problem
p. 110-115
Some properties of the eigen- and associated functions of an elliptic second-order operator
p. 116-123
Disposition of the spectrum of a boundary value problem with mixed boundary conditions
p. 123-135
Inverse problems for determining the parameters of the nonstationary kinetic transport equation from additional information on the traces of the unknown function
p. 136-146
The asymptotic closeness and stabilization of the solution of a parabolic equation
p. 146-155
Equiconvergence of spectral expansions that correspond to nonselfadjoint extensions of a second-order differential operator
p. 155-166
The Laplace--Radon integral transform and its application to the inhomogeneous Cauchy problem in a complex space
p. 167-174
Uniform convergence of series in a system of sines
p. 175-177
The Tricomi problem when the line of change of type of the equation is closed
p. 177-178

Sommaire du Fascicule no. 2

A method for superfast convergence and the reducibility of almost periodic systems
p. 187-199
Nonregular pencils of differential operators in a space of vector functions
p. 199-207
Lyapunov functions for a class of second-order autonomous systems
p. 207-211
On the theory of optimization from initial data of systems with aftereffect
p. 212-222
Meromorphic solutions of first-order differential equations
p. 222-226
Prolongation of the loss of stability in the case of dynamic bifurcations. II
p. 226-233
Realization of a given trajectory of motion and of a pencil of trajectories
p. 234-239
On relatedness theorems for equations with retarded argument
p. 240-250
Some methods for obtaining estimates for the solutions of inequalities
p. 250-258
Observability of objects of neutral type by means of linear operations
p. 258-266
Investigation of the convergence of difference schemes for calculating a process of the heat treatment of composite materials by means of infrared radiation
p. 267-277
The Cauchy problem in classes of increasing functions for some nonlinear pseudoparabolic equations
p. 277-288
Stabilization of the solution of the Cauchy problem for the heat equation
p. 288-299
Fundamental solutions of differential equations containing a Bessel operator
p. 299-305
The generalized Poisson integral and the smoothness of the solution of the Dirichlet problem for degenerate elliptic operators
p. 305-313
On the theory of fractional calculus
p. 313-324
Formulas for the inversion of integral representations of some $p$-analytic functions and for their application
p. 324-335
Some remarks on solutions of autonomous equations that approach finite limits at infinity
p. 336-338
Dependence of the stability of linear periodic systems on the period
p. 338-341
Normal local controllability of objects that can be described by a system of second-order differential equations with one control parameter
p. 341-342
An angular boundary layer in the asymptotics of the solution of a singularly perturbed system of equations of elliptic type
p. 343-345
On the uniform boundedness of solutions
p. 346-348
Localization of the solutions of the Cauchy problem for $\vec{2b}$-parabolic systems in classes of generalized functions
p. 348-350
Inverse problem for an integro-differential equation of the second order with a singularity
p. 350-351
Dependence of the interval of existence of the solution of a differential equation on the initial data
p. 351-353
Two-sided estimates for $s$-numbers of integral operators that increase smoothness
p. 353-356
Convergence in $L^2$ of families of solutions of nonlinear systems with a small parameter multiplying the derivative
p. 357-359
Conditions for the maximal dissipativity of differential-boundary operators in a space of vector functions
p. 359-361
Smooth equivalence of systems of differential equations with power asymptotics of the solutions and of their discrete analogues in a neighborhood of an invariant manifold
p. 361-362

Sommaire du Fascicule no. 3

Konstantin Sergeevich Sibirski{\v\i} (on the occasion of his 60th birthday)
p. 371-375
Flickering systems
p. 376-383
An approach to the construction of the asymptotics of the solution of the singularly perturbed Cauchy problem with initial values of the unknown functions that are unbounded with respect to the parameter
p. 383-388
Determination of the characteristic vectors of functions of several variables and of stability in the first approximation
p. 389-393
Stability of homogeneous semigroups
p. 393-398
Existence of strong solutions of differential equations in a Hilbert space
p. 398-407
Sufficient conditions for optimality in problems with delays
p. 408-416
Investigation of the stability of autonomous singularly perturbed systems on the basis of matrix Lyapunov functions
p. 416-424
Algebraic operations that are consistent with the dynamics of continuous nonlinear control systems
p. 425-437
A criterion for the absolute $\bar{c}$-stability of partial differential equations
p. 438-444
On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. II
p. 445-455
The variational Dirichlet problem for an elliptic operator that is degenerate on the boundary
p. 455-464
Regularity classes of bilinear forms, and nonlinear elliptic boundary value problems
p. 464-476
On third-order degenerate operator-differential equations
p. 477-481
Direct methods for solving a singular integro-differential equation
p. 482-488
The one-sided invertibility of functional operators and the $n(d)$-normality of singular integral operators with shift in H\"older spaces
p. 488-499
Stability in the large of integro-differential equations of nondirect control systems
p. 500-508
Completeness of the root vectors of a system of integro-differential equations of reactor kinetics
p. 508-516
Eigenvalues and eigenfunctions of an integro-differential operator
p. 516-519
An inverse problem for a system of parabolic equations
p. 520-521
Application of Lyapunov functions to the investigation of the interval of existence of a solution
p. 522-523
Uniqueness of the solution of the Tricomi problem for an equation of mixed type
p. 523-525
The Green function of a differential-difference equation
p. 525-527
Spline methods for solving a class of integro-differential equations
p. 527-530
Propagation of flexural waves through an inhomogeneous plate with slowly changing parameters
p. 530-532
On the alternative method for the biharmonic equation
p. 532-534
Autonomous Hamiltonian systems with univalent moving singularities
p. 534-535
Degenerate nonlinear elliptic differential equations of infinite order in weighted Sobolev--Orlicz spaces
p. 535-537
Rate of decay of the solutions of some elliptic and ultraelliptic equations
p. 538-539
Asymptotic behavior of the solutions of basic mixed problems in the exterior of a compact set for an equation of the propagation of perturbations in elastoviscous media
p. 539-542
An estimate for the solutions of systems of differential equations on an asymptotically large segment by the averaging method
p. 542-544
Letter to the editor: ``Estimates for localized unbounded solutions of quasilinear parabolic equations''

Sommaire du Fascicule no. 4

Absorbing sets of systems of hydrodynamic type
p. 555-563
The domain of existence of the solution of a boundary value problem for the Emden--Fowler equation
p. 563-566
On the manifold of controllable processes in a nonlinear Lagrange problem
p. 566-570
Pseudostability and first prolongations
p. 571-574
Necessary and sufficient conditions for equiconvergence with trigonometric series of spectral expansions in a system of eigen- and associated functions of the Schr\"odinger operator
p. 574-583
A criterion for the discreteness of the spectrum of the general Sturm--Liouville operator, and embedding theorems connected with it
p. 584-591
Conditions for the continuity of the highest exponent of a linear extension of a dynamical system
p. 591-600
Synthesis of a decomposing control in nonlinear dynamical systems
p. 600-613
Investigation of the stability of linear systems of neutral type by the method of Lyapunov functions
p. 613-621
On an inverse problem of the theory of the propagation of electromagnetic waves
p. 622-627
On boundary value problems for a mixed equation of hyperbolic-parabolic type
p. 627-635
Exact solutions of a problem of crystallization of filterable solutions
p. 635-644
On the mixed problem $M$ when the domain of parabolicity is two-dimensional
p. 644-649
A theorem on an oblique derivative for second-order parabolic equations that admit weak degeneration.~I
p. 650-661
Fundamental solutions of differential equations of a certain class in anisotropic spaces of generalized functions
p. 661-672
Embedding theorems and their applications to degenerate equations
p. 672-682
Limit cycles of a system of differential equations
p. 683-684
On the problem of the existence of an invisible scatterer in diffraction theory
p. 684-687
On structurally stable polynomial diffeomorphisms of the unit circle
p. 687-689
On a boundary value problem for ordinary differential equations
p. 690-692
On an equation of attainable sets of differential inclusions
p. 692-694
On orbital stability of trajectories of autonomous systems
p. 694-695
On the stability of bifurcating solutions
p. 695-698
A mixed boundary value problem of heat conduction for a rotating cylinder of finite length
p. 698-701
On a boundary value problem on a graph
p. 701-703
Basis properties of eigenfunctions of a boundary value problem in the case of a multiple root of the characteristic polynomial
p. 703-705
On the number of eigenvalues of the Sturm--Liouville problem on the semiaxis with a potential that is linear with respect to the parameter
p. 705-708
A boundary value problem for a singularly perturbed nonlinear parabolic equation
p. 708-711
On the problem of the determination of the right-hand side of the heat equation
p. 711-714
On a generalization of the Neumann problem
p. 714-716
On the solvability of a mixed problem for an inhomogeneous hyperbolic equation
p. 717-720
Nonsmooth Lyapunov functions
p. 720-723
A nonlocal problem for a system of equations of Helmholtz type
p. 724-726
On the tree points controllability of the linear complete integrable Pfaff systems
p. 726-727
Isolation of meromorphic solutions of the Euler system in some special cases
p. 728-729

Sommaire du Fascicule no. 5

Vladimir Aleksandrovich Il'in (on the occasion of his 60th birthday)
p. 739-750
Generalizations of Hamiltonian systems
p. 751-760
Structure of the solutions of an autonomous Pfaffian system with two pure imaginary roots of the characteristic equation
p. 760-770
Conjugate problems of the identification of dynamical systems
p. 770-776
Lipschitz $R$-stability of attracting sets
p. 776-784
The number of characteristic and lower exponents of an exponentially stable system with higher-order perturbations
p. 784-795
An a priori estimate for the solution of a problem associated with a nonlocal boundary value problem of the first kind
p. 795-804
Asymptotic behavior of the solutions of the Lorenz system
p. 804-809
Conditions for the optimality of the control of points of the trajectories of dynamical systems under incomplete information on the state
p. 810-818
Qualitative differential games in a class of $E$-strategies
p. 818-824
Some properties of polyharmonic functions
p. 825-831
Local solvability of pseudodifferential equations of constant strength. I
p. 831-837
Asymptotic solution of an initial-boundary value problem on the propagation of acoustic waves in a medium with relaxation
p. 838-844
Solvability of the first boundary value problem for an equation of elliptic type in the unit disk
p. 844-852
An estimate for the difference of the Riesz means of two spectral expansions for a function in the class~$L_2$
p. 852-863
A theorem on an oblique derivative for second-order parabolic equations that admit weak degeneration.~II
p. 863-875
Boundary values and initial values of the solutions of a second-order parabolic equation with discontinuous coefficients
p. 875-885
Estimates for the solutions of differential-difference equations with impulse action
p. 886-888
An estimate for the domain of exponential stability of the zero solution of a class of nonlinear systems
p. 888-890
On some two-dimensional mixed problems with existence of an initial function different from zero for the conditions of conjugation.~II
p. 890-891
Construction of the normal form in a neighborhood of a cycle by means of the Krylov--Bogolyubov--Mitropol'ski{\v\i} asymptotic method
p. 891-894
An integral inequality
p. 894-896
Convergence of the Riesz means of spectral expansions that correspond to the one-dimensional Schr\"odinger operator
p. 897-899
On the theory of the controllability and feasibility of linear stationary differential-difference systems
p. 899-902
Asymptotic behavior of the solutions of parabolic equations with coefficients that depend on time
p. 902-904
Uniqueness of the solution of the Frankl' problem for equations of mixed type
p. 904-906
The integrating factor of the Abel equation
p. 907-909
Bifurcation of quasiperiodic solutions for a nonanalytic system of differential equations
p. 910-912
Canonical transformations in Nambu mechanics
p. 912-915

Sommaire du Fascicule no. 6

Construction of a dynamic controller for a linear control system
p. 923-929
A method for solving an observation-estimation problem in linear nonstationary systems
p. 929-935
A class of nonlinear evolution systems that describe crystallization processes
p. 936-949
Stability of the central exponents of linear systems. I
p. 949-965
Periodic solutions of stochastic equations with aftereffect
p. 965-972
An estimate for the bifurcation parameters of the saddle separatrix loop of the Lorenz system
p. 972-977
On the general theory of linear functional-differential equations
p. 977-986
Perturbation of invariant manifolds. IV
p. 987-993
Positive decreasing solutions of nonlinear differential equations with retarded argument
p. 993-999
Closure of a set of systems with singular periodic solutions
p. 999-1004
Local solvability of pseudodifferential equations of constant strength. II
p. 1005-1011
Solvability of initial-boundary value problems for third-order quasilinear partial differential equations with one space variable
p. 1011-1021
Nonclassical spectral asymptotics in the case of degeneration that is not in a power form
p. 1021-1027
On the existence of self-induced waves of the van der Pol equation with diffusion
p. 1027-1037
Uniqueness of the solution of the Dirichlet problem in a ball for the wave equation
p. 1038-1039
Some two-dimensional mixed problems with an initial function that does not vanish for the conjugation conditions. III
Approximation of the solutions of differential inclusions with convex right-hand side
p. 1041-1043
The group of characters on the closure of the almost periodic trajectory of an autonomous system of differential equations
p. 1043-1045
A coordinate system for cupola-shaped shells
p. 1045-1049
A method of investigating differential boundary value problems for analytic functions
p. 1049-1053
Completeness of the root vectors of a problem of reactor kinetics in a diffusion approximation
p. 1053-1055
Some properties of a system of first-order ordinary differential nonlinear equations with a singular matrix of constant rank in front of the vector of the derivatives
p. 1055-1058
Complete null-controllability and observability of linear systems with retarded argument
p. 1058-1061
A linear integral equation on a half axis with a kernel $\lambda(x)K(x-t),$ where $\lambda(x)$ is a periodic function
p. 1061-1064
Holomorphic equivalence of a system of linear differential equations with meromorphic coefficients to a system with linear fractional coefficients
p. 1064-1066
A new condition for the sign-constancy of the Green function
p. 1066-1069
Stability of the solutions of functional-differential equations with impulse action
p. 1069-1070
Equations of hypergeometric type that are integrable in elementary functions
p. 1070-1073
Construction of exact solutions of some singularly perturbed equations
p. 1073-1075
Determination of the number of limit cycles of the second kind of systems of differential equations
p. 1076-1078
Controllability of linear systems with retarded argument in functional spaces
Zeros of the solutions of a two-dimensional differential system on a finite interval
p. 1080-1083
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1084-1090
Yuri{\v\i} Stanislavovich Bogdanov
p. 1091-1097

Sommaire du Fascicule no. 7

Direct numerical modeling of the Blasius problem
p. 1107-1113
Application of difference schemes on Dirichlet cells for solving problems of heat-mass exchange with phase transitions
p. 1113-1121
Numerical analytic preparation for a generalization of a method of representations
p. 1121-1127
Approximate group analysis of the nonlinear equation $u_{tt}-(f(u)u_x)_x+\varepsilon\varphi(u)u_t=0$
p. 1127-1138
Construction of completely conservative difference schemes of magnetohydrodynamics in mixed Euler--Lagrange variables by means of the projection method
p. 1138-1149
A numerical algorithm for systems of inhomogeneous equations in mathematical physics
p. 1150-1160
Forward calculation difference schemes for some problems in mathematical physics
p. 1161-1166
An integro-iterative method for solving fundamental boundary value problems in mathematical physics
p. 1166-1171
An iterative method for solving an elliptic problem with a free boundary
p. 1171-1175
Some solutions of a system of equations of quasi-gas-dynamics type
p. 1176-1185
Dissipative structures in a model reaction of the oxidation of carbon monoxide
p. 1186-1192
A difference method for solving a problem on the steady-state propagation of a light beam in a chemically active gas medium
p. 1192-1196
A stochastic algorithm for solving the Boltzmann equation in semiconductor theory
p. 1196-1204
A difference scheme for the Goursat problem with boundary functions in $L_2$
p. 1204-1213
A cyclic variant of the $\alpha$-$\beta$-iterative algorithm
p. 1213-1218
A locally one-dimensional scheme for a non-steady-state problem of heat conduction with radiation on the boundary
p. 1218-1226
Countable spectrum of the eigenfunctions of the nonlinear heat equation with distributed parameters
p. 1226-1234
A trajectory method for solving systems of transcendental equations
p. 1234-1244
Accuracy of a difference scheme for a spectral problem with discontinuous coefficients
p. 1244-1249
A difference scheme for the method of ``Dirichlet particles'' in cylindrical coordinates that preserves the symmetry of gas-dynamic flows
p. 1249-1257
A difference scheme of second order of accuracy for equations of gas dynamics for the compatible approximation of convective flows
p. 1258-1262
Dynamics of a system with nonlinear growth of the reproduction of ``prey''
p. 1263-1266
Transversality conditions for the stochastic maximum principle
p. 1266-1269
An example of the solution of a simplified system of A.\,A.~Vlasov equations
p. 1269-1270
A third-order quasilinear partial differential equation
p. 1270-1272
On the bounds for the application of the small parameter methods to the case of a single root of the amplitude equation
p. 1273-1274
Properties of the solution of a nonlinear variational problem
p. 1274-1276
Periodic solutions of partial differential equations with small parameters
p. 1276-1278
The regularization method for hyperbolic systems with fast and slow variables
p. 1278-1281
Controllability of a class of linear nonstationary completely integrable Pfaff systems
p. 1281-1282

Sommaire du Fascicule no. 8

Uniqueness conditions for systems of differential equations with hysteresis terms
p. 1291-1295
Inverse problems of dynamics in group variables
p. 1295-1306
The stochastic Lyapunov problem for systems of stationary linear differential equations
p. 1307-1324
Stability of the central exponents of linear systems. II
p. 1324-1338
Representation of analytic solutions of differential-difference equations by Dirichlet series
p. 1338-1347
Characterization of the asymptotic stability of homogeneous potential operators by means of eigenvalues
p. 1347-1351
A game-theoretic problem with finitely additive programs. I
p. 1352-1358
A class of boundary value problems for sampled-data systems
p. 1359-1364
Absolutely stable systems with delay
p. 1364-1373
Control of nonlinear dynamical systems
p. 1373-1378
The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. II
p. 1379-1386
Solvability of boundary value problems in the mechanics of viscoplastic media
p. 1386-1393
Some problems for systems of nonlinear partial differential equations with nonlocal boundary conditions
p. 1393-1397
Existence theorems for elliptic variational inequalities with quasipotential operators
p. 1397-1402
On the uniqueness of the solution of an abstract inverse problem
p. 1402-1406
The method of $(p,q)$ connected operators for solving third-order differential equations and inverse problems
p. 1407-1410
Quasilinear elliptic equations in divergence form in unbounded domains
p. 1410-1423
Spectral analysis of integro-differential operators with nonlocal boundary conditions
p. 1424-1433
Regularization of an integral operator with logarithmic singularities of the kernel
p. 1433-1437
Direct methods for solving singular integro-differential equations on the real axis
p. 1438-1443
Instability of the zero solution of a class of integro-differential equations
p. 1443-1454
Sharpening of a theorem of Levinson
p. 1455-1457
Asymptotic behavior of the solution of a difference problem of optimal control with a small step with a moving right trajectory end
p. 1457-1459
Localization of the solutions of an equation of stimulated diffusion
p. 1459-1462
Asymptotic behavior of the solutions of second-order differential equations in a complex domain
p. 1462-1464
A more precise calculation of the bending of an infinite strip on an elastic foundation
p. 1464-1467

Sommaire du Fascicule no. 9

A problem of spline control of nonlinear systems
p. 1475-1481
On the theory of differential-difference equations with delay that is commensurable with the period of the coefficients
p. 1481-1492
Stability of the central exponents of linear systems. III
p. 1492-1502
Stability of differential-difference equations with and without a derivative
p. 1503-1509
A variational problem for a dynamic potential
p. 1509-1520
Normal local controllability
p. 1520-1528
On the rate of growth of solutions, meromorphic in an angular domain, of differential equations
p. 1528-1536
A game-theoretic problem with finitely additive programs. II
p. 1536-1543
The averaging principle for stochastic functional-differential equations
p. 1543-1551
Integral representation of trajectories of a controllable system with a generalized right-hand side
p. 1551-1564
On the structure of the Levinson center of a dissipative dynamical system
p. 1564-1576
Group classification and exact solutions of equations of plane and rotational-symmetric flow of an ideal fluid in Lagrangian coordinates
p. 1577-1586
The inverse scattering problem in the theory of elasticity
p. 1586-1591
The heat equation and the wave equation on graphs
p. 1591-1599
Periodic solutions of a weakly nonlinear wave equation with an irrational relation of period to interval length
p. 1599-1607
Solvability of an inhomogeneous problem for the generalized Boussinesq filtration equation
p. 1607-1611
A dynamical system of billiard type
p. 1611-1622
Variational inequalities in contact plastic problems
p. 1622-1628
Integro-differential operators for harmonic functions in convex domains and their applications
p. 1629-1631
Justification of a difference scheme of an increased order of accuracy for the Dirichlet problem for the Poisson equation in classes of generalized solutions
p. 1631-1633
Construction in the large of polynomial solutions with a given exponent
p. 1633-1636
Sufficient conditions for the center for a two-dimensional autonomous system whose right-hand sides are polynomials of the third degree
p. 1636-1637
A multidimensional analogue of a criterion for Poincar\'e orbital stability
p. 1637-1639
A third-order equation of Painlev\'e type
p. 1640-1641
Some solutions of the homogeneous Darboux problem for a degenerate hyperbolic equation
p. 1641-1643
The Cauchy problem for some integro-differential equations in a Hilbert space
p. 1644-1646
The stability of solutions of periodic systems of differential equations with a selected switching
p. 1646-1647
On a qualitative property of solutions of biharmonic equation on plane
Zeros of the eigenfunctions of the singular operator $(-\Delta)^m+q(x)$
p. 1649-1650

Sommaire du Fascicule no. 10

Periodic solutions of the Li\'enard equation
p. 1659-1662
Inequalities for derivatives of solutions of ordinary differential equations in the metric of $L_p$ ($0$)
p. 1662-1670
An analogue of the Newton diagram method for a class of singularly perturbed differential equations.~I
p. 1670-1684
Asymptotic behavior of the solutions of the Painlev\'e equation of the first kind
p. 1684-1695
Positive solutions of a two-point boundary value problem for a linear singular functional-differential equation
p. 1695-1704
Periodic solutions of an $n$th order vector differential equation
p. 1704-1709
On the domain of asymptotic stability of the invariant set of a dynamical system that does not possess the property of uniform change of distance
p. 1709-1714
The dimension of the set of joint spectra of polynomial vector fields
p. 1715-1724
Asymptotic behavior of an almost periodic solution of a nonlinear singularly perturbed system
p. 1724-1732
The number of solutions with integrable square of a system of differential equations of Sturm--Liouville type
p. 1732-1738
The representability of systems of ordinary differential equations in the form of equations of mechanics with a given force structure
p. 1738-1746
On the uniqueness of the solution of the characteristic problem for higher-order hyperbolic differential equations
p. 1747-1756
On a weak Harnack inequality for quasilinear parabolic equations
p. 1756-1764
Asymptotic expansions of fractional integrals and of the solutions of the Euler--Poisson--Darboux equation
p. 1764-1778
The behavior of the solution of the Dirichlet problem for a second-order quasilinear elliptic equation near a corner point
p. 1778-1784
Oscillations of an ideal stratified fluid in a cylindrical basin with variable frequency of buoyancy
p. 1784-1796
On the application of Schauder estimates for solutions of equations of elliptic type to estimates for special functions
p. 1797-1801
A boundary value problem with a free boundary for the one-dimensional wave equation
p. 1801-1804
On the solvability of a characteristic singular integral equation with an infinite index
p. 1805-1811
Properties of solutions and the completeness of eigenfunctions of an integro-differential system of equations of the dynamics of a reactor
p. 1811-1818
Stability of singular points of $n$-dimensional systems with impulses
p. 1819-1821
The phase portrait of a third-order autonomous system
p. 1821-1822
An iterative method for solving a differential equation in a Banach space with a small parameter multiplying the derivative
p. 1822-1824
On the existence of polar solutions to first-order differential equations
p. 1824-1826
Periodic solutions of the equation $\ddot x+\lambda f(x,\dot x)\dot x+x=0$
p. 1826-1828
On the variational method for solving the problem of electron-wave interaction
p. 1828-1831
On the manifold of solutions of a problem on the dynamics of an incompressible viscoelastic fluid
p. 1832-1834

Sommaire du Fascicule no. 11

Positivity of the Cauchy matrix of a linear functional-differential equation
p. 1843-1854
Finite-dimensional attractors in a model of turbulence
p. 1854-1862
Optimization of measurements in a problem on the estimation of the state of a dynamical system with geometric constraints on noise
p. 1862-1870
Lyapunov irregular linear systems with a parameter multiplying the derivative
p. 1870-1880
Solution of a variational problem for dynamic potential
p. 1880-1890
Moving singularities of solutions of a particular case of an Euler system
p. 1891-1894
On the equation of an integral funnel and its applications
p. 1894-1904
On the finiteness of the number of limit cycles in a quadratic system
p. 1904-1911
Optimal control of discontinuous dynamical systems with sliding states
p. 1911-1922
On the solvability of the problem of the thermochemistry of nonhomogeneous media
p. 1923-1928
Unique solvability of a plane stationary problem connected with the motion of a body submerged in a fluid
p. 1928-1940
Overdetermined problems for the wave equation and their nonlocal regularization
p. 1941-1954
The exterior Neumann problem for an elliptic equation that is degenerate at infinity
p. 1955-1967
The maximum principle for equations of mixed type
p. 1967-1976
Convergence of the spline collocation method on optimal grids for singularly perturbed boundary value problems
p. 1977-1987
Estimates for the rate of convergence of the difference approximation of the Dirichlet problem for the equation $-\Delta u+\sum_{|\alpha|\le1}(-1)^{|\alpha|}D^\alpha q_\alpha(x)u=f(x)$ for $q_\alpha(x)\in W_\infty^{\lambda|\alpha|}(\Omega)$, $\lambda\in(0,1]$
p. 1987-1994
A numerical method for finding approximate solutions of parabolic variational inequalities
p. 1994-2004
Estimates of the solution of a half-space problem for a system of equations of mixed type in H\"older classes
p. 2005-2007
Stability of the solutions of nonlinear Lappo-Danilevskij systems
p. 2007-2008
Estimates of exponents of exponential growth of solutions of some systems
p. 2008-2010
Boundaries of variation of the degree of polynomial solutions of algebraic differential equations
p. 2010-2012
On the spectrum of a Bitsadze--Samarski{\v\i} problem
p. 2012-2016
Conditions for the uniqueness of movable singular points of autonomous Hamiltonian systems
p. 2016-2019

Sommaire du Fascicule no. 12

Existence of limit cycles of two-dimensional autonomous systems of differential equations
p. 2027-2032
Necessary conditions for a center for a differential system with a complex singular point
p. 2032-2042
Distribution of lower Perron exponents of linear differential systems on lines in a phase space
p. 2042-2046
Conditions for the solvability and controllability of linear two-parameter discrete systems
p. 2047-2051
Necessary and sufficient conditions for the existence of periodic solutions of linear inhomogeneous periodic Pfaffian systems
p. 2052-2056
Continuous dependence of solutions of linear differential equations on a parameter
p. 2056-2063
Third-order differential equations of a special form
p. 2064-2069
On polynomial solutions of algebraic differential equations
p. 2069-2075
Optimal stabilization of periodic control systems
p. 2075-2083
Use of sign-constant Lyapunov functions for the study of the stability of differential inclusions
p. 2083-2090
Sets of irregularity of linear systems with a parameter multiplying the derivative
p. 2091-2098
A reflection function of the Hill equation
p. 2098-2104
Dynamics of attainability sets of control systems
p. 2105-2115
Asymptotic representation of solutions of linear systems of differential equations
p. 2115-2118
Nonlinear systems with single-valued movable singular points that are generated by fourth-order linear systems
p. 2119-2124
Uniqueness of some inverse problems for elliptic equations
p. 2125-2129
A second-order equation of hyperbolic type with two singular lines
p. 2129-2133
The Neumann problem for a degenerate elliptic equation in divergence form
p. 2134-2143
Pseudodifferential equations in functional superanalysis. I. The Fourier transform method
p. 2144-2154
Solvability of a special boundary value problem for abstract differential equations
p. 2154-2163
Doubly periodic solutions of quasilinear hyperbolic partial differential systems
p. 2164-2166
Investigation of the interval of existence of a solution of a differential equation that is defined on a bounded domain
The measure of the solution set of a linear system with the largest lower exponent
p. 2168-2170
Existence and construction of polar solutions of an autonomous system of two differential equations
p. 2170-2172
Algebraic differential equations with a maximal number of polynomial solutions of a given structure
p. 2172-2174
On integration of a system of ordinary differential equations with $F$-derivatives
p. 2175-2176
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2177-2186
The Riemann problem
p. 2187-2190