Geodesic

Sommaire du Fascicule no. 1

Anatoli{\v\i} Mikha{\v\i}lovich Samo{\v\i}lenko (on the occasion of his sixtieth birthday)
p. 3-6
Synthesis of optimal controls of state feedback type in a linear guidance problem
p. 7-17
Differential equations defined by dynamical systems with shock interactions on the boundary of the domain of existence of infinite-shock motions
p. 18-23
Relative observability of linear time-dependent singularly perturbed systems with delay
p. 24-30
A coefficient condition for the convergence of biorthogonal expansions of functions in $\mathscr L^p(0,1)$
p. 31-39
On the basis property of sine and cosine systems in a weighted space
p. 40-44
On the spectral properties of some nonlocal boundary value problems
p. 45-49
Computation of the first eigenvalues of a boundary value problem on the hydrodynamic stability of a Poiseuille flow in a circular tube
p. 50-53
On invariant sets of differential equations with small random perturbations
p. 54-58
Estimates for solutions of Cauchy problems involving a spectral parameter
p. 59-63
On Darboux problems for a class of multidimensional hyperbolic equations
p. 64-68
On the adjointness of the Darboux and the Dirichlet problems for degenerate hyperbolic equations
p. 69-77
On a system of equations of elliptic type that degenerate on the entire boundary of a rectangle
p. 78-86
An initial-boundary value problem for an equation of mixed type with retarded argument
p. 87-93
On a representation of solutions in the anisotropic theory of elasticity
p. 94-100
On the positivity of continuous and discrete differentiation and integration operators that are very important in fractional calculus and in the theory of equations of mixed type
p. 101-109
On the solvability of a problem with a boundary condition on the characteristics for a degenerate hyperbolic equation
p. 110-113
Boundary value problems for a class of systems of second-order partial differential equations
p. 114-122
On a boundary value problem for a fractional-order differential operator
The Darboux problem for a hyperbolic equation
p. 124-126
On normalized eigenfunctions of a class of quasilinear elliptic equations
p. 127-129
A modified Dirichlet problem for a degenerate elliptic system in an $n$-dimensional space
p. 130-132
On nontrivial solutions of some homogeneous boundary value problems for the multidimensional hyperbolic Euler--Poisson--Darboux
p. 133-135
О~семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 136-139
Четвертая международная конференция ``Динамические системы: устойчивость, управление, оптимизация''

Sommaire du Fascicule no. 2

Nikola{\v\i} Khristovich Rozov (on the occasion of his sixtieth birthday)
p. 147-148
Autonomy of a system of total differential equations
p. 149-156
On infinitesimal constructions in the theory of generalized dynamical systems.~I
p. 157-165
A description of the mutual arrangement of exponents of two-dimensional linear differential systems.~I
p. 166-174
Asymptotic optimization of linear dynamical systems in the class of smooth bounded controls
p. 175-183
On the Bernstein-Nagumo conditions in Neumann boundary value problems for ordinary differential equations
p. 184-188
Localization of limit sets and the asymptotic stability of nonautonomous equations with delay.~I
p. 189-196
Investigation of solutions of a family of linear optimal control problems that depend on a parameter
p. 197-203
Asymptotic behavior of solutions of stochastic differential inclusions
p. 204-210
On the measure of the irregularity sets of linear systems
p. 211-215
Nonautonomous cubic systems of two differential equations with the Painlev\'e property
p. 216-221
On rapidly increasing solutions of arbitrary-order Emden--Fowler systems
p. 222-227
The classical Dirichlet problem for the biharmonic equation in a half-strip
p. 228-237
On doubly periodic solutions of a class of nonlinear hyperbolic equations
p. 238-245
On the asymptotic properties of solution of the nonlinear heat equation
p. 246-255
Exterior boundary value problems for second-order elliptic equations
p. 256-259
A classical solution, weakened on the axis, of the centrally symmetric mixed problem for three-dimensional hyperbolic equations of even order
p. 260-265
On an iterative domain decomposition method for solving problems of mathematical physics.~II
p. 266-271
Stabilizability of discrete Volterra equations
p. 272-278
The effect of unbounded perturbations on the stability of systems of differential equations
p. 279-281
Special Abel equations
p. 282-284

Sommaire du Fascicule no. 3

Evgeni{\v\i} Ivanovich Moiseev (on the occasion of his fiftieth birthday)
p. 291-293
On the existence of an extremal norm for a class of linear differential equations with retarded argument
p. 294-297
Affine-invariant conditions for the topological discrimination of quadratic Hamiltonian differential systems
p. 298-302
A singular eigenvalue problem for the Sturm--Liouville equation
p. 303-312
Continuation of the solution of differential equations to a singular set
p. 313-319
A hybrid method for constructing asymptotics for a nonlinear singularly perturbed Cauchy problem with rapidly oscillating conditionally periodic coefficients
p. 320-325
On the existence of a minimal global attractor for the nonlinear wave equation with antidissipation in the domain and with dissipation on a part of the boundary
p. 326-330
A complex analogue of invariant elliptic Dezin systems
p. 331-341
Gradient methods in problems with continua of extremals
p. 342-347
On mixed boundary value problems in a quarter-space for a class of systems not of Cauchy--Kovalevskaya type
p. 348-358
An upper bound taken on the diagonal for the spectral function of the multidimensional Schr\"odinger operator with a potential satisfying the Kato condition
p. 359-369
A proof of the existence of an infinitely continuable solution of the Cauchy problem for a class of second-order differential equations in the space of complex-analytic functions
p. 370-374
Nonlocal boundary value problems for pseudodifferential and operator-differential equations.~II
p. 375-382
On data assimilation in a scale of Hilbert spaces for quasilinear evolution problems
p. 383-389
On a class of four-layer locally one-dimensional difference schemes for second-order hyperbolic equations of arbitrary dimension
p. 390-394
A general theory of approximate methods for constructing parametrized solutions of linear differential equations
p. 395-402
Optimal control of a discrete process by the criterion of the Ces\`aro average limit
p. 403-410
Convergence of numerical solutions of the variational altimeter data assimilation problem in a quasigeostrophic model of ocean circulation
p. 411-418
Construction of the ``$H^\infty$-control'' and the guaranteeing control as a solution of a three-person differential game
p. 419-421
Potentiality conditions for differential-difference equations
p. 422-424
Exact solutions of the problem of the oscillations of complex fields in an angular domain
p. 425-427

Sommaire du Fascicule no. 4

Limit equations in the problem of the stability of a functional-differential equation
p. 435-440
Partition of the parameter space of a quadratic system with a triple focus or a center at the origin
p. 441-450
An inverse problem in the theory of differential inclusions
p. 451-456
On infinitesimal constructions in the theory of generalized dynamical systems.~II
p. 457-464
Instability of a periodic system with delay
p. 465-470
On the number of solutions of second-order boundary value problems with nonlinear asymptotics
p. 471-479
On a continuous method for solving convex extremal problems
p. 480-485
On $\epsilon$-regularization of the Cauchy problem and a half-space problem for a pseudo-parabolic equation in Sobolev classes
p. 486-494
The quasi-reversibility method for the problem of the control of an initial condition for the heat equation with an integral boundary condition
p. 495-502
Two problems for the string vibration equation with integral conditions and special conjugation conditions on the characteristic
p. 503-507
Reinforced Sobolev spaces and some new types of elliptic boundary value problems.~II
p. 508-517
A priori estimates and the existence of strong solutions of semilinear parabolic systems
p. 518-522
Asymptotic integration of a vibration convection problem
p. 523-532
On the absence of positive solutions of second-order nonlinear elliptic equations in conical domains
p. 533-539
Hidden symmetry in an averaging algorithm, and the multiple spectrum of an elliptic problem with rapidly oscillating coefficients
p. 540-545
On the solvability of boundary value problems for the Helmholtz equation in an unbounded domain with a noncompact boundary
p. 546-553
On the behavior as $t\to\infty$ of the solution of the first exterior mixed problem for the Sobolev system
p. 554-558
Nonselfadjoint quadratic operator pencils and elliptic problems
p. 559-561
Construction of first integrals and last multipliers of polynomial autonomous multidimensional differential systems
p. 562-564
Control of a differential system generated by the Loewner differential equation
p. 565-566
On the theory of stability of linear systems of difference equations
p. 567-569
On the Dirichlet problem for nonstrongly elliptic systems
p. 570-571

Sommaire du Fascicule no. 5

Vladimir Aleksandrovich Il'in (on the occasion of his seventieth birthday)
p. 579-594
On the completeness of systems of Gauss hypergeometric functions
p. 595-608
On spectral expansions corresponding to the multidimensional Schr\"odinger operator with a summable potential.~I
p. 609-618
On the influence of the degree of summability of coefficients of differential operators on the rate of equiconvergence of spectral expansions.~I
p. 619-628
A nonlinear boundary value problem on a graph
p. 629-637
An estimate for the spectral function of a selfadjoint extension in $\mathbb R^2$ of the Schr\"odinger operator with a potential satisfying the Stummel condition
p. 638-646
On the averaging of boundary value problems in punctured domains of nonperiodic structure
p. 647-661
A spectral problem for the Laplace operator in the square with a spectral parameter in the boundary condition
p. 662-667
On the asymptotic behavior of solutions of the generalized Kolmogorov--Petrovski{\v\i}--Piskunov equation for large time values
p. 668-681
On the existence of a classical solution of a mixed problem for a second-order one-dimensional hyperbolic equation
p. 682-694
Spectral boundary value problems and elliptic equations on manifolds with singularities
p. 695-708
Optimal control of nonlocal problems for distributed systems
p. 709-718

Sommaire du Fascicule no. 6

Alekse{\v\i} Alekseevich Dezin (on the occasion of his 75th birthday)
p. 723-726
Existence of canonical forms of linear time-dependent control systems with respect to an exponential group
p. 727-734
On the existence of a linear Pfaffian system with a countable number of distinct characteristic sets of solutions
p. 735-743
Inversion algorithms for linear control systems
p. 744-750
On the existence of proper oscillating solutions of advanced differential equations
p. 751-757
On the irreducibility of linear systems by a generalized Lyapunov transformation to systems with functionally commutative matrices of coefficients
p. 758-764
On the integral expansion of a function in degenerate hypergeometric functions
p. 765-774
The Dirichlet problem for second-order elliptic systems on the plane in Hardy-type classes
p. 775-781
An initial-boundary value problem for the nonlinear heat equation in an $n$-dimensional rectangular domain
p. 782-788
On the Schr\"odinger and Klein--Gordon equations.~II
p. 789-798
A problem with a shift for a parabolic-hyperbolic equation
p. 799-805
On solutions of boundary value problems for a system in the theory of elasticity and for the biharmonic equation in a half-space
p. 806-811
Some refinements of a stabilization theorem for solutions of the heat equation
p. 812-815
Some inverse problems for the Schr\"odinger operator with Kato potential
p. 816-824
On the properties of monotone growth of the $L_p$ norm on the boundary of solutions of elliptic equations
p. 825-831
Haar wavelets and differential equations
p. 832-834
On the equivalence and differential rational invariants of second-order linear partial differential equations of two variables under a change of variables
p. 835-837
On the Green function of a nonlocal boundary value problem with degenerations
p. 838-840
On the solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space
p. 841-843
On the boundedness of solutions of a class of quasilinear parabolic equations
p. 844-845
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 846-859

Sommaire du Fascicule no. 8

Investigation of recurrent oscillations of dynamical systems
p. 1011-1017
The differential controlled gradient method for symmetric extremal mappings
p. 1018-1028
A step-type contrast structure in the case of a multiple root of the equation for a transition point
p. 1029-1038
On the Baire classification of residual exponents
p. 1039-1042
Equiconvergence of a spectral expansion, corresponding to a Schr\"odinger operator with integrable potential, with the Fourier integral
p. 1043-1048
On the existence of a linear singular system with an exponential characteristic set of unbounded measure
p. 1049-1055
Localization of limit sets and the asymptotic stability of nonautonomous equations with delay.~II
p. 1056-1065
On the influence of the degree of summability of coefficients of differential operators on the rate of convergence of spectral expansions.~II
p. 1066-1077
On the irreducibility of linear systems by a generalized Lyapunov transformation to Lappo--Danilevski{\v\i} systems
p. 1078-1081
Invariant submodels of rank two for equations of a nonhomogeneous heavy fluid
p. 1082-1091
Asymptotic behavior of an elliptic equation with a small parameter multiplying the highest derivatives that degenerates on the boundary of the domain. The case of weak degeneration
p. 1092-1099
A problem with a free boundary for the Laplace equation, capillary-gravitational waves in space, bifurcation and symmetry
p. 1100-1106
On incompatible inequalities for elliptic equations on stratified sets
p. 1107-1113
Generation of singularities of compactly supported solutions of the Euler equations on a rotating plane
p. 1114-1118
Differential equations on graphs that describe asymptotic solutions of Navier--Stokes equations localized in a small neighborhood of a curve
p. 1119-1130
A degenerate Cauchy problem for a second-order equation. A well-posedness criterion
p. 1131-1133
On the stability of solutions of differential equations with aftereffect
p. 1134-1136
On the asymptotic behavior of the solution of a homogeneous second-order linear differential equation in Liouville normal form
p. 1137-1139
A ``dead zone'' theorem for the Neumann problem
p. 1140-1141
О~семинаре по проблемам нелинейной динамики и управления при Московском государственном
p. 1142-1147

Sommaire du Fascicule no. 9

Blow-up of solutions of a hyperbolic system: the critical case
p. 1155-1161
Anisotropic Sobolev spaces and parabolic equations. I.~Spaces
p. 1162-1169
Classification of positive solutions of the problem $\operatorname{div}(|\nabla u|^{p-2}\nabla u)+x\nabla(u^q)+\alpha u^q=0$ in $\mathbb R^n$
p. 1170-1178
Semilinear elliptic boundary value problems in resonance with superlinear nonlinearities
p. 1179-1185
Boundary value problems and integral equations for some classes of pseudodifferential equations in nonsmooth domains
p. 1186-1197
Application of the method of boundary integral equations for determining the boundary-layer asymptotics of the solution of a nonlinear singularly perturbed boundary value problem of heat conduction in a two-layer domain
p. 1198-1209
Linear integral equations of the second kind with a bi-Carleman kernel in the space $L^\infty$
p. 1210-1215
A mixed problem for the dissipative Helmholtz equation with an arbitrary partition of the boundary
p. 1216-1225
On the admissibility of a pair $(Y,X)$ and asymptotics of the resolvent for a system of Volterra integral equations
p. 1226-1230
On exact and approximate solutions of a system of singular integral equations with a Hilbert kernel
p. 1231-1239
Algorithms, optimal with respect to complexity, for the approximate solution of integral equations
p. 1240-1245
A new approach to the solution of mixed boundary value problems for the Laplace and Helmholtz equations
p. 1246-1253
Justification of the generalized schemes of the $T$-matrix method on the basis of integral transformations
p. 1254-1259
On the well-posedness of a problem for solving a complete singular integral equation
p. 1260-1268
A discrete vortex method of increased accuracy for the numerical solution of a class of singular integral equations
p. 1269-1275
Approximate solution of convolution-type equations of the first kind
p. 1276-1283
On a first-order linear inhomogeneous equation with a singularity
p. 1284-1285
Finite hybrid Hankel integral transforms of the first kind (Fourier--Bessel-- $\cdots$ --Bessel--Fourier)
p. 1286-1288
On the solvability of elliptic boundary value problems on stratified sets
p. 1289-1290
Direct methods for solving bisingular integral equations on Lyapunov skeletons in generalized H\"older spaces
p. 1291-1292

Sommaire du Fascicule no. 10

Alekse{\v\i} Fedorovich Filippov (on the occasion of his 75th anniversary)
p. 1299-1303
A system of differential equations with a turning point in the case of a nondiagonalizable limit operator
p. 1304-1312
The Baire class of maximal lower semicontinuous minorants of Lyapunov exponents
p. 1313-1317
The inverting matrix and linear differential systems that are periodic on the logarithmic half-axis
p. 1318-1321
On the discreteness of asymptotic invariants of linear differential systems
p. 1322-1331
Controlled quasi-differential equations and some of their properties
p. 1332-1336
Methods for searching for all types of solutions in zero-sum differential games with dependent strategies
p. 1337-1345
A Dulac function in a half-plane in the form of a polynomial of the second degree for a quadratic system
p. 1346-1348
On smooth solutions of a class of parabolic-type equations with unboundedly growing coefficients. I
p. 1349-1358
A new approach to the Dirichlet boundary conditions that is based on the use of strengthened Sobolev spaces
p. 1359-1368
Anisotropic Sobolev spaces and parabolic equations. II.~Equations
p. 1369-1374
On spectral expansions corresponding to the multidimensional Schr\"odinger operator with summable potential.~II
p. 1375-1384
Approximate symmetries of the convective heat transfer equation and their applications
p. 1385-1393
On the Hopf bifurcation for a quasilinear parabolic functional-differential equation
p. 1394-1401
Operators in the spaces of measurable functions: the Volterra property and quasinilpotency
p. 1402-1411
On a method for proving the solvability of a problem in the nonlinear theory of shallow shells
p. 1412-1419
Nonautonomous two-dimensional quadratic systems that are equivalent to linear systems
p. 1420-1422
Arbitrary-order asymptotics of the eigenvalues and eigenfunctions of the Sturm--Liouville boundary value problem on an interval with integrable potential
p. 1423-1426
Investigation of the stability of nonautonomous systems of differential equations of quasipolynomial type
p. 1427-1429
On the formulation of boundary value problems for equations of mixed parabolic-hyperbolic type
p. 1430-1432
On the maximum principle for an elliptic equation on stratified sets
p. 1433-1434
Hamiltonian systems with univalent solutions
p. 1435-1436

Sommaire du Fascicule no. 11

Serge{\v\i} Pavlovich Kurdyumov (on the occasion of his seventieth birthday)
p. 1443-1444
A differential linearization method in equilibrium programming
p. 1445-1458
On local variational problems with functional constraints
p. 1459-1463
Regularization of a degenerate optimal control problem
p. 1464-1470
On a connection between the concepts of a $C$-system and an $L_1$-system in the theory of affine control systems
p. 1471-1477
Robust inversion of vector linear systems
p. 1478-1486
Construction of a guaranteed result in a differential game with incomplete information
p. 1487-1494
The localization problem for autonomous systems
p. 1495-1500
Control of chaos in nonlinear dynamical systems
p. 1501-1509
Some problems in the theory of the realization of linear systems
p. 1510-1515
Optimal bilinear systems on a plane
p. 1516-1520
Conditions for the existence of strong equilibria in $n$-person differential games
p. 1521-1526
On smooth solutions of a class of parabolic-type equations with unboundedly growing coefficients.~II
p. 1527-1535
On the fundamental solutions of the Cauchy problem for degenerate equations of Kolmogorov type with a $\overrightarrow{2b}$-parabolic part with respect to the main group of variables
p. 1536-1545
An initial-boundary value problem for Schr\"odinger systems in domains with a nonsmooth boundary
p. 1546-1556
Nonregular points in a certain model of ``gray'' economy
p. 1557-1558
Auto-oscillations in an RCLG-line with small distortion
p. 1559-1561
Linear integral equations of the second kind in the spaces $L^1$ and $L^\infty$
p. 1562-1564
Construction of Lyapunov functions for nonlinear dynamical systems
p. 1565-1567
On the identification of the coefficients of a linear controlled plant
p. 1568-1570
An example of a system of differential equations of indeterminate type
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1572-1580

Sommaire du Fascicule no. 12

Center conditions and cyclicity of certain cubic vector fields
p. 1587-1595
Construction of a linear Pfaff equation with arbitrarily given characteristics and lower characteristic sets
p. 1596-1603
On successive approximations of rapidly growing solutions of second-order Emden--Fowler systems
p. 1604-1608
Reduction theorems for differential equations that arise in the dynamics of systems with friction
p. 1609-1615
The first boundary value problem for a linear parabolic equation in the space $\mathbf R_+^{n+1}$
p. 1616-1623
Exterior initial-boundary value problem for an evolution equation in a multiply connected domain
p. 1624-1633
Existence of strong solutions of second-order semilinear parabolic systems
p. 1634-1639
Auto-oscillations of a string with impulse feedback
p. 1640-1644
Unboundedness of the solution of an overdetermined problem
p. 1645-1648
The Riemann--Hilbert problem for the Lavrent'ev--Bitsadze system
p. 1649-1659
New natural ellipsoidal coordinates and normal forms of equations for wave functions
p. 1660-1665
Vector additive schemes for second-order evolution equations
p. 1666-1674
Difference schemes for the transport equation.~I
p. 1675-1685
Grid approximation of singularly perturbed systems of elliptic and parabolic equations with convective terms
p. 1686-1696
An almost periodic solution of a semilinear parabolic equation
p. 1697-1698
On the existence and stability of quasiperiodic solutions of systems of second-order linear differential equations
p. 1699-1700
On the asymptotic behavior of solutions of systems of linear differential equations with an irregular singularity
p. 1701-1702
On the existence of weakly normal bases of solutions of linear multidimensional completely integrable equations
p. 1703-1705
On a certain case of the Cauchy problem
p. 1706-1707
On the nonuniqueness of solutions of the Cauchy problem for ordinary differential equations with a parameter
p. 1708-1710
Stability of solutions of a second-order equation with delay
p. 1711-1713