Geodesic

Sommaire du Fascicule no. 1

Methods for solving equilibrium programming problems
p. 3-11
Differential equations in control synthesis problems: I.~Ordinary systems
p. 12-22
The behavior of solutions of multidimensional singularly perturbed systems with one fast variable
p. 23-32
Stability of linear Hamiltonian systems in total differentials with periodic coeficients
p. 33-40
Chaotic buffering property in chains of coupled oscillators
p. 41-49
Extrema of the Andronov--Hopf function of a polynomial Lienard system
p. 50-60
On solutions of a differential system with an unstable Coppel--Conti linear approximation
p. 61-72
Synthesis of asymptotic observers for linear vector indeterminate systems
p. 73-81
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
p. 82-86
Uniqueness of the solution of a system of differential equations unsolved for the derivatives
p. 87-92
Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type
p. 93-104
Optimal boundary control of a string by an elastic force applied at one end, the other end being free
p. 105-115
Approximation to the solution of the Cauchy problem for a smoothed Schr\"odinger--Poisson equation in a magnetic field
p. 116-120
Hypersingular integral equations and the theory of wire antennas
p. 121-137
On a nonlinear Sobolev type equation
p. 138-140

Sommaire du Fascicule no. 2

Singular Exponents and Properness Criteria for Linear Differential Systems
p. 147-157
The Solution Polyhedron of the Dissipative Inequality for Relaxation SISO Systems
p. 158-166
On Proper and Entire Solutions of a Generalized Emden--Fowler Equation
p. 167-176
The Construction of a Pfaff System with Arbitrary Piecewise Continuous Characteristic Power-Law Functions
p. 177-185
On the Stability Degree
p. 186-192
Asymptotic Equivalence of Linear Differential Systems to Systems with Infinitely Differentiable Coefficients
p. 193-201
Nonpreservation of Asymptotic Properties of Solutions of Singular Linear Differential Systems Under Small Perturbations
p. 202-207
On the Stability of Differential Systems with Respect to Almost Periodic Linear Approximation
p. 208-214
On an Upper Bound for the Higher Exponent of a Linear Differential System with Integrable Perturbations on the Half-Line
p. 215-224
The Typical Dynamics of Some Mappings Determined by Piecewise Linear Functions
p. 225-232
Periodic Solutions of the Simplest Continuous System with Delay and Relaxation
p. 233-240
On Eigenfunction Expansions Associated with the Schr\"odinger Operator with a Singular Potential
p. 241-249
A Nonlocal Boundary Value Problem for Systems of Infinite-Order Partial Differential Equations
p. 250-257
Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: I
p. 258-267
The Dynamic Renormalization Method for Finding the Maximum Lyapunov Exponent of a Chaotic Attractor
p. 268-273
Finite-Difference Methods for Convection-Diffusion Problems with Discontinuous Coefficients and Solutions
p. 274-280
On Problems of Nonlinear Dynamics and Control at Moscow State University
p. 281-284

Sommaire du Fascicule no. 3

On the Construction of Lyapunov Functions for Nonlinear Systems
p. 291-297
On the Inverse Problem for a Quadratic Pencil of Sturm--Liouville Operators with Periodic Potential
p. 298-305
Quasilinear Instantaneous Processes Described by Ordinary Differential Equations
p. 306-311
Optimal Control of Almost Periodic Motions Under Constraints: I
p. 312-324
A Generalized Ward Problem for Abstract Differential Equations
p. 325-336
Well-Posed Solvability of Nonlocal Boundary Value Problems for Systems of Hyperbolic Equations
p. 337-346
Approximately Invariant Solutions of Differential Equations with a Small Parameter
p. 347-355
On an Application of the Method of Differential Inequalities to Equations of Parabolic Type Whose Right-Hand Side Grows Faster Than Quadratically with Respect to the Space Gradient
p. 356-365
Determination of the Right-Hand Side in a Quasilinear Parabolic Equation with a Terminal Observation
p. 366-374
A Diffraction Problem in a Waveguide
p. 375-381
On Some Nonself-Adjoint Mixed Problems in Heat Theory
p. 382-395
The Bitsadze--Samarskii Problem for Douglis Analytic Functions
p. 396-407
A Special Case of the Successive Approximation Method for Autonomous Differential Equations with a Small Parameter
p. 408-410
On Spectral Expansions of Functions of the Nikol'skii Class
p. 411-414
On the Solution of a Modified Boundary Value Problem of Riquier Type for Meta-Analytic Functions in the Disk
p. 415-418
Solution of Ordinary Differential Equations by the Method of Matrix Transformations
p. 419-422
A Method for Solving Partial Differential Equations with Homogeneous Boundary or Initial Conditions
p. 423-425
On the Numerical Computation of Limit Cycles of Second-Order Differential Equations with Delay
p. 426-428

Sommaire du Fascicule no. 4

Stability of $p$-Periodic Solutions of a Degenerating Equation
p. 435-440
Optimal Control of Almost Periodic Motions Under Constraints: II
p. 441-454
Identifiability and Controllability Problems for Linear Second-Order Autonomous Systems of Neutral Type
p. 455-463
On the Eigenvalue Distribution and a Bessel Property Criterion for Root Functions of a Differential Operator: I
p. 464-478
On Homoclinic Trajectories of Evolution Equations
p. 479-489
On an Extension of a Linear Control Problem with Phase Constraints
p. 490-499
A Periodic Singularly Perturbed Problem for the Matrix Riccati Equation
p. 500-507
Symmetry Classification and Exact Solutions of the Thermal Diffusion Equations
p. 508-517
On Global Positive Solutions of Parabolic Equations with a Sign-Indefinite Nonlinearity
p. 518-526
Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: II
p. 527-537
On the Asymptotics of the Solution of the Cauchy Problem for Some Differential-Difference Parabolic Equations
p. 538-548
On the Compact Solution Set of the Dissipation Inequality for Relaxation Systems
p. 549-550
Vibrocorrect First-Order Partial Differential Equations with Generalized Inputs
p. 551-552
Remarks on a Lie Theorem on the Integrability of Differential Equations in Closed Form
p. 553-555
On the Oblique Derivative Problem in the Sobolev Space $W^{s,p}$, $p>1$
p. 556-557
An Orthonormal Basis in Sobolev--Slobodetskii Spaces on an Interval
p. 558-560
Vyacheslav Nikolaevich Abrashin
p. 561-569
Sergeĭ Pavlovich Kurdyumov
p. 570-572

Sommaire du Fascicule no. 5

Sergei Konstantinovich Korovin (A Tribute in Honor of His Sixtieth Birthday)
p. 579-588
Analytic Dependence of the Solution of a Linear Differential Equation on Integrable Coefficients
p. 589-602
Optimal Pursuit with Countably Many Pursuers and One Evader
p. 603-610
Asymptotics of the Spectrum of the Differential Operator $-y''+q(x)y$ with a Boundary Condition at Zero and with Rapidly Growing Potential
p. 611-622
On the Eigenvalue Distribution and a Bessel Property Criterion for Root Functions of a Differential Operator: II
p. 623-631
Convergence of Biorthogonal Expansions of Functions on an Interval for Higher-Order Differential Operators
p. 632-646
On Continuous Approximations and Right-Sided Solutions of Differential Equations with Piecewise Continuous Right-Hand Sides
p. 647-655
On the General Solution of a Linear $n$th-Order Differential Equation with Constant Bounded Operator Coefficients in a Banach Space
p. 656-660
Solvability of an Elliptic Equation with a Gradient Nonlinearity
p. 661-669
Time-Nonlocal Problems for Schr\"odinger Type Equations: I.~Problems in Abstract Spaces
p. 670-677
Global Solvability Conditions for an Initial-Boundary Value Problem for a Nonlinear Equation of Pseudoparabolic Type
p. 678-685
On a Stable Approximation to Boundary Value Problems for Evolution Operator-Differential Equations with Variable Domains
p. 686-696
On a Differential Equation with a Higher-Order Partial Derivative in Three-Dimensional Space
p. 697-701
Positive Solutions of Higher-Order Singular Problems
p. 702-705
Integration of the Equations of an Axisymmetric Typhoon Eye Model
p. 706-709
On Uniqueness Theorems for Nonlocal Boundary Value Problems for the Lavrent'ev--Bitsadze Equation
p. 710-712
On a Multidimensional Boundary Value Problem
p. 713-716

Sommaire du Fascicule no. 6

Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations
p. 723-729
The Eigenvalue and the Eigenfunction of the Sturm--Liouville Problem Treated as Analytic Functions of the Integrable Potential
p. 730-738
Strong Stability of Linear Hamiltonian Systems in Total Differentials with Periodic Coefficients
p. 739-745
On the Structure of Generalized Hyperbolic Attractors of Mappings That Are Not One-to-One
p. 746-754
On the Neumann Problem for an Ordinary Differential Equation with Discontinuous Right-Hand Side
p. 755-760
Asymptotic Integration of Differential Equations with Oscillatory Terms of Large Amplitudes: I
p. 761-770
A Second-Order Continuous Regularization Method for Nonlinear $d$-Accretive Equations in a Banach Space
p. 771-780
An Inverse Problem for Differential Systems on a Finite Interval in the Case of Multiple Roots of the Characteristic Polynomial
p. 781-786
Linear Differential Relations Between Solutions of a Class of Euler--Poisson--Darboux Equations
p. 787-794
A Criterion for the Existence of Eigenfunctions of the Darboux--Protter Spectral Problem for
p. 795-801
The First Boundary Value Problem for a Parabolic Equation on a Manifold
p. 802-812
Time-Nonlocal Problems for Schr\"odinger Type Equations: II.~Results for Specific Problems
p. 813-819
The Cauchy Problem for the Heat Equation in Zygmund Spaces
p. 820-831
Blow-Up of the Solution of an Initial-Boundary Value Problem for a Nonhomogeneous Equation of Pseudoparabolic Type
p. 832-835
Solvability of a Parabolic Transmission Problem with the Condition of a Generalized Proper Lumped Source
p. 836-843
A Method for Studying a Coupled System of Differential Equations
p. 844-850
On the Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 851-860

Sommaire du Fascicule no. 7

Vladimir Aleksandrovich Kondrat'ev (A Tribute in Honor of His 70th Birthday)
p. 867-873
Analysis of the Stationary Filtration Problem with a Multivalued Law in the Presence of a Point Source
p. 874-880
A Diffraction Problem for Electromagnetic Field in Free Space
p. 881-888
On the Properties of the Representation of the Boltzmann Kinetic Equation in the Basis of Hermite Functions
p. 889-896
Removable Singularities of $p$-Harmonic Functions
p. 897-907
Conservative Difference Schemes for Some Problems of Femtosecond Nonlinear Optics
p. 908-917
Stability and Convergence of Monotone Finite-Difference Approximations to a Quasilinear Conservation Law
p. 918-924
A Posteriori Error Estimates for Approximate Solutions of Linear Parabolic Problems
p. 925-937
A Guaranteed Error Estimate for the Stormer Method on Large Intervals
p. 938-944
A Method for Constructing the Boundary of Forced Nucleation Domains
p. 945-949
Semidiscrete Schemes of the Finite Element Method for Degenerate Hyperbolic Equations
p. 950-954
On the Stability of a Monotone Difference Scheme for the Burgers Equation
p. 955-960
On the Structure of the Spectrum of a Differential Operator with a Nonlocal Condition
p. 961-969
Numerical Solution of an Integro-Differential Equation for a Sheet Current
p. 970-974
Economical Difference Schemes for the Solution of a Two-Dimensional Parabolic Problem with an Integral Condition
p. 975-979
A Higher-Order Richardson Method for a Quasilinear Singularly Perturbed Elliptic Reaction-Diffusion Equation
p. 980-989
On the Numerical Error of Vector-Additive Iterative Methods
p. 990-993
On the Constructive Analysis of a Two-Point Boundary Value Problem for a Nonlinear Lyapunov Equation
p. 994-996
The Krasnosel'skii--Krein Theorem for Differential Inclusions
p. 997-1000
On a Representation of Solutions of Linear Delay Systems
p. 1001-1004

Sommaire du Fascicule no. 8

A Generalized Normal Form and Formal Equivalence of Two-Dimensional Systems with Quadratic Zero Approximation: II
p. 1011-1023
On the Coincidence of Two Classes of Linear Systems
p. 1024-1028
Multivalued Feedback with the Semicontinuity Property
p. 1029-1036
$(C,1)$-Summability of Fourier Series in Root Functions of Ordinary Linear Differential Operators in a Space of Vector Functions
p. 1037-1045
Bifurcation Resulting in Chaotic Motions in Dynamical Systems with Shock Interactions
p. 1046-1052
On the Asymptotics of Solutions of Nonlinear Second-Order Differential Equations
p. 1053-1061
On the Structure of a Neighborhood of Stable Compact Invariant Sets
p. 1062-1073
On Upper and Lower Functions for a Fourth-Order Ordinary Differential Equation: I
p. 1074-1083
Asymptotic Integration of Differential Equations with Rapidly Oscillating Terms of Large Amplitude: II
p. 1084-1091
Movable Singular Points of Algebraic Ordinary Differential Equations
p. 1092-1099
On the Coppel Problem for Quadratic Systems with a Fine Focus
p. 1100-1104
On the Stability of Solutions of Partial Differential Equations in Measure on a Measurable Subset
p. 1105-1113
On Some Game Problems for First-Order Controlled Evolution Equations
p. 1114-1121
Asymptotic Behavior of Solutions of a Singular Emden--Fowler Equation
p. 1122-1124
Proof of Levin's Half-Period Theorem
p. 1125-1127
On Second-Order Quasilinear Equations Admitting Reduction with a Subsequent Parametric Representation of Solutions
p. 1128-1129
On the Solution of the Cauchy Problem for a Second-Order Linear Differential Equation with Constant Unbounded Operator Coefficients in a Banach Space
p. 1130-1133
On the Integration of an Initial-Boundary Value Problem for the Volterra Lattice
p. 1134-1136
Convergence Estimates for Solutions of Linear Stationary Systems of Differential-Difference Equations with Constant Delay
p. 1137-1140
On the Seminar on Problems of Nonlinear Dynamics and Control at Moscow State University
p. 1141-1148

Sommaire du Fascicule no. 9

A Generalization of the Neumann Problem for the Helmholtz Equation Outside Cuts on the Plane
p. 1155-1165
Application of Integral Equations to Finding Asymptotics of Solutions of Singularly Perturbed Semilinear Heat Equations
p. 1166-1176
On the Three-Dimensional Neumann Boundary Value Problem with a Generalized Boundary Condition in a Domain with Smooth Closed Boundary
p. 1177-1189
Existence and Uniqueness of a Solution of a Singular Volume Integral Equation in a Diffraction Problem
p. 1190-1197
A Generalized Overrelaxation Method for Solving Singular Volume Integral Equations in Low-Frequency Scattering Problems
p. 1198-1202
Integro-Functional Equations for Solving the Inverse Problem for a Nonlinear Ordinary Differential Equation
p. 1203-1209
On Normalizing Spaces for a Singular Integral Operator with Degenerating Symbol
p. 1210-1217
Singular Integral Equations with a Fixed Hypersingularity on an Arbitrary Piecewise Smooth Curve
p. 1218-1228
Inversion of Singular Integrals with Cauchy Kernels in the Case of an Infinite Integration Domain
p. 1229-1241
Estimates for Weakly Singular Integral Operators Defined on Closed Integration Contours and Their Applications to the Approximate Solution of Singular Integral Equations
p. 1242-1251
Acoustic Scattering by a Cross-Shaped Hole on a Smooth Boundary Surface Near a Resonance Point of the Interior Domain
p. 1252-1260
Models of Radiation Scattering by Crystalline Plates on the Basis of the Method of Integral Representations for Fields
p. 1261-1269
Analysis of Some Computational Schemes for a Hypersingular Integral Equation on an Interval
p. 1270-1275
On a Method for Approximate Analysis of Linear Stochastic Integro-Differential Systems
p. 1276-1279
On the Numerical Solution of a Class of Singular Integral Equations on an Infinite Interval
p. 1280-1285
On an Algorithm for Solving Fredholm Equations with Analytic Coefficients
p. 1286-1290
A Remark on the Controllability Problem for Differential-Algebraic Dynamical Systems
p. 1291-1292

Sommaire du Fascicule no. 10

Periodic Oscillations in Conservative Systems with a Small Delay
p. 1299-1309
Asymptotic Observers with Discontinuous Control for Scalar Linear Indeterminate Systems
p. 1310-1317
On the Stability of Solutions of Delay Systems Under Permanent Perturbations
p. 1318-1321
Asymptotic Expansion of a Solution of a Singularly Perturbed System of Linear Equations
p. 1322-1331
Asymptotic Solution of a Nonlinear Periodic Optimal Control Problem Whose State Equation Involves a Singular Matrix Perturbation
p. 1332-1344
Two-Sided Solutions of Linear Nonautonomous Homogeneous Functional-Differential Equations
p. 1345-1352
On the Solvability of the Dirichlet Problem for Nonlinear Second-Order Functional-Differential Equations
p. 1353-1362
On a Third-Order Partial Differential Equation
p. 1363-1368
An Inverse Problem of the Theory of Wave Propagation in a Random Layered Medium
p. 1369-1374
On Spectral Problems in Energy Spaces on Composite Manifolds with Singular Geometry of the Blocks: III
p. 1375-1386
On the Completeness of Eigenfunctions of the Tricomi Problem for a Degenerate Equation of Mixed Type
p. 1387-1391
A Nontrivial Periodic Solution of the Nonlinear Wave Equation with Homogeneous Boundary Conditions
p. 1392-1399
On the Phase Space Fold of a Nonclassical Equation
p. 1400-1405
The Cauchy Problem for a Differential-Difference Nonlocal Wave Equation
p. 1406-1409
Solution of the Cauchy Problem for Two Differential-Algebraic Equations with a Fredholm Operator
p. 1410-1412
On a Spectral Problem Arising in a Mathematical Model of Torsional Vibrations of a Rod with Pulleys at the Ends
p. 1413-1415
The Sharp Upper Bound on the Mobility of the Highest Exponent of a Linear System Under Perturbations Whose Weighted Mean Is Small
p. 1416-1418
On the Convergence of Spectral Expansions of Functions for Problems with a Spectral Parameter in a Boundary Condition
p. 1419-1422
Solution of a Nonlocal Boundary Value Problem for the Poisson Equation with Mixed Boundary Conditions with the Use of Green's Function
p. 1423-1425
On the Tricomi Problem for the Lavrent'ev--Bitsadze Equation with a Nonlocal Transmission Condition
p. 1426-1428
On the Behavior of Integral Surfaces of a Pfaff Equation with a Nonclosed Singular Curve
p. 1429-1432
On a Weakly Degenerate First-Order Linear Differential Equation in a Banach Space
p. 1433-1435

Sommaire du Fascicule no. 11

Observers for Linear Dynamical Systems with Indeterminacy
p. 1443-1457
Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints
p. 1458-1468
On Recurrent Trajectories, Minimal Sets, and Quasiperiodic Motions of Dynamical Systems
p. 1469-1474
Optimal Perturbation Damping in Linear Control Systems
p. 1475-1481
Optimal Control Synthesis in Systems with an Unbounded Velocity Set
p. 1482-1490
The Dynamic Programming Method in Impulsive Control Synthesis
p. 1491-1500
On Categories and Foundations of the Theory of Nonlinear Control Dynamical Systems: IV
p. 1501-1509
Lower and Upper Bounds of the Instability Radii for Families of Polynomials with a Fixed Subset of Coefficients
p. 1510-1516
Approximate Controllability of Distributed Systems by Distributed Controller
p. 1517-1525
A Very Regular Optimal Control Problem
p. 1526-1532
On a Category Related to the Kalman Algebra of a Linear Control System
p. 1533-1539
A Theory of Dynamic Conflict Problems Allowing for Extraneous Interests
p. 1540-1549
On the Transition to Diffusion Chaos Through a Subharmonic Cascade of Bifurcations of Two-Dimensional Tori: Numerical Analysis
p. 1550-1559
The Semigroup Method for Inverse, Nonlocal, and Nonclassical Problems. Prediction-Control and Prediction-Observation for Evolution Equations: I
p. 1560-1571
Dressing of Solutions for Some Nonintegrable Problems and Invariant Properties of the Ansatz of the Hirota Method
p. 1572-1575
On the Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 1576-1580

Sommaire du Fascicule no. 12

Stanislav Ivanovich Pokhozhaev (A Tribute in Honor of His Seventieth Birthday)
p. 1587-1591
On the Smallness of Perturbations Preserving the Higher Exponent of a Linear Differential System
p. 1592-1596
Localization of Invariant Compact Sets of Dynamical Systems
p. 1597-1604
A Criterion for Conditional Instability by the First Approximation for Solutions of Differential Systems
p. 1605-1614
On the Computability of Lyapunov Exponents of Linear Differential Systems Along Geometric Time Progressions
p. 1615-1620
On an Algorithm for Constructing an Attainable Upper Boundary for the Higher Exponent of Perturbed Systems
p. 1621-1634
Geometry of Discontinuous Systems near a Manifold of Singularities of Third Order
p. 1635-1641
A Circular Arrangement of Equilibria and a Procedure for Finding the Strongest of Them
p. 1642-1651
On a Control Problem with Incomplete Information: Quasistrategies and Control Procedures with a Model
p. 1652-1666
Flat Control Systems with Delay
p. 1667-1674
Transition to Chaos in a Nonclassical Reaction-Diffusion System
p. 1675-1679
On the Coercivity of the $R_\nu$-Generalized Solution of the First Boundary Value Problem with Coordinated Degeneration of the Input Data
p. 1680-1689
A Special Version of the Collocation Method for Integral Equations of the Third Kind
p. 1690-1695
A Singular Integral Equation with a Cauchy Kernel on the Real Half-Line
p. 1696-1708
On the Completeness of Eigenfunctions of the Neumann--Tricomi Problem for a Degenerate Equation of Mixed Type
p. 1709-1711