Geodesic

Sommaire du Fascicule no. 1

Control Synthesis for Linear Systems by Methods of Stability Theory of Motion
p. 3-11
Solving Two-Person Nonzero-Sum Games with the Help of Differential Equations
p. 12-22
Dynamic Reconstruction of Unbounded Controls in a Parabolic Equation
p. 23-29
The Neumann Problem for a Second-Order Singular System
p. 30-34
On-Off Intermittency in Relaxation Systems
p. 35-44
Asymptotic Properties of Solutions to Systems of Nonlinear Functional-Differential Equations
p. 45-49
Local Attainability for Linear Control Systems
p. 50-56
Asymptotic Stability of a Dynamical System with a Watt Governor
p. 57-62
Properties of Solutions of the Inverse Stefan Problem
p. 63-69
Construction of a Self-Adjoint Extension of the Schrödinger Operator with a Potential Concentrated on a Pencil of Planes: II
p. 70-77
Finite-Time Blow-Up of the Solution of the Cauchy Problem for the Pseudoparabolic Equation $Au_t=F(u)$
p. 78-83
Generalized Solutions and Optimal Controls in Systems Describing the Dynamics of a Viscous Stratified Fluid
p. 84-91
Operator Algebras on Manifolds with Isolated Singularities
p. 92-104
The Frankl' Problem for a Hyperbolic-Parabolic Equation
p. 105-112
A Continuous First-Order Regularization Method for Monotone Variational Inequalities in a Banach Space
p. 113-117
On the Structure of a Variational Equation of Evolution Type with the Second $t$-Derivative
p. 118-124
Fundamental Solutions of the 2D Neumann Problem for the Laplace Equation
p. 125-132
Modal Control of a Linear Differential Equation with Incomplete Feedback
p. 133-135
Seminar on Problems of Nonlinear Dynamics and Control at Moscow State University
p. 136-140

Sommaire du Fascicule no. 2

The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part
p. 147-153
A Generalized Normal Form and Formal Equivalence of Systems of Differential Equations with Zero Characteristic Numbers
p. 154-170
An Orr–Sommerfeld Equation with a First-Order Differential Turning Point
p. 171-179
Frequency Conditions in Controller Design for Dynamical Systems in Hilbert Spaces
p. 180-185
On the Continuous Dependence of an Almost Periodic Solution of a Nonlinear Control System on a Parameter
p. 186-197
On Boundary Value Problems for Linear Differential Systems with Singularities
p. 198-209
Existence Theorems for Viable Solutions of Stochastic Differential Equations
p. 210-216
Sufficient Conditions for the Local Proportional Controllability of Lyapunov Exponents of Linear Systems
p. 217-226
Sufficient and Necessary Conditions for the Stable Controllability of a Nonlinear Nonstationary System on the Plane in the Critical Case
p. 227-235
Application of the Boundary Function Method to Finding Slow Periodic Solutions of Singularly Perturbed Bang-Bang Systems
p. 236-245
Necessary Conditions for the Existence of Global Solutions of Systems of Higher-Order Nonlinear Ordinary Differential Equations and Inequalities
p. 246-252
Synthesis of Nilpotent Two-Parameter Discrete Systems Over a Commutative Ring
p. 253-260
Distinguishability Conditions for Stationary Linear Systems
p. 261-266
Necessary Cone Optimality Conditions for Trajectories of Discrete Inclusions
p. 267-275
On the Dirichlet Problem for a Multidimensional Analog of the Bitsadze System
p. 276-277
Problems Without Initial Conditions for a Nonclassical Equation
p. 278-280
On Periodic Solutions of a Lyapunov Type Equation
p. 281-283
Letter to the Editorial Board

Sommaire du Fascicule no. 3

Solution Spaces and the Fucik Spectrum
p. 291-298
On Algebraic Solutions of the Fifth Painlevé Equation
p. 299-307
A Joint Description of the Boundary Exponent Sets of a Solution of a Linear Pfaff System: I
p. 308-319
On the Periodic Boundary Value Problem for First-Order Functional-Differential Equations
p. 320-327
Solvability of a Nonhomogeneous Boundary Value Problem for a Differential System with Measures
p. 328-336
Designing a Continuous Reconstruction Operator in Observation Problems for Ordinary Linear Systems
p. 337-342
On the Construction of Differential Equations of Motion of Constrained Mechanical Systems
p. 343-353
Movable Singular Points of Ordinary Differential Equations with Algebraic Singularities of the Right-Hand Side
p. 354-358
Homogenizaton of a Nonhomogeneous Signorini Problem for the Poisson Equation in a Periodically Perforated Domain
p. 359-366
A Mixed Problem for a System of Telegraph Equations: I
p. 367-376
Constrained Controllability of String Vibrations in the Case of One Fixed Endpoint
p. 377-382
Asymptotic Stability of First- and Second-Order Operator-Differential Equations
p. 383-392
Solution of the Cauchy Problem for an Ultrahyperbolic Equation of Dimension 3 by 2 and 2 by 2
p. 393-401
Complex Powers of the Telegraph Operator and Close Operators in $L_p$ Spaces
p. 402-409
On Boundary Value Problems for First-Order Elliptic Pseudosymmetric Systems in $\mathbb R^4$
p. 410-412
Estimates of Bounded Solutions of Linear Differential Equations
p. 413-415
The Titchmarsh Theorem on Supports of Convolutions Generalized to Multidimensional Systems of Volterra Convolution Equations of the First Kind
p. 416-417
$L_p\to L_q$ Estimates for Some Potential Type Operators with Oscillating Kernels
p. 418-420
Generalized Stepanov Spaces and Evolution Equations
p. 421-422
The Equivalence Problem for the Class of Generalized Abel Equations
p. 423-424
A Remark on the Existence of a Periodic Solution
p. 425-427

Sommaire du Fascicule no. 4

Localization of Exact Solutions of Second-Order Quasilinear Systems
p. 435-440
On Solutions Decaying at Infinity of Real Nonautonomous Systems of Quasilinear Differential Equations
p. 441-452
A Joint Description of the Boundary Exponent Sets of a Solution of a Linear Pfaff System: II
p. 453-464
An Existence Theorem for Weak Solutions of Stochastic Differential Equations with Discontinuous Right-Hand Sides and with Reflection at the Boundary
p. 465-471
Cubic Systems of Nonlinear Oscillations with Seven Limit Cycles
p. 472-481
Continuability of Analytic Solutions of Some Linear Systems of Functional-Differential Equations
p. 482-485
Uniform Estimates of Solutions of the Cauchy Problem for Hyperbolic Equations with a Small Parameter Multiplying Higher Derivatives
p. 486-499
A Mixed Problem for a System of Telegraph Equations: II
p. 500-505
Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation with a Lower-Order Term
p. 506-515
Well-Posedness of Initial-Boundary Value Problems for Higher-Order Linear Hyperbolic Equations with Two Independent Variables
p. 516-526
Uniform Convergence of Spectral Expansions in a Nonorthonormal Fundamental Function System of the Laplace Operator
p. 527-538
A Well-Posed Statement of Some Nonlocal Problems for the Wave Equation
p. 539-553
Construction of a One-Stage $L$-Stable Second-Order Method
p. 554-556
Two-Point Problems for Third-Order Ordinary Differential Equations
p. 557-559
The Characteristic Sets of Multidimensional Equations with Respect to a Polyhedral Cone Can Be Nonclosed
p. 560-562
Fixed Singular Points of Differential Systems
p. 563-564
Equivalence of Riccati Equations with Periodic Coefficients
p. 565-567
Preservation of Stability of Differential Equations Under Discretization
p. 568-569
Nikolaǐ Antonovich Bobylev
p. 570-572

Sommaire du Fascicule no. 5

Vladimir Aleksandrovich Il'in (A Tribute in Honor of His Seventy-Fifth Birthday)
p. 579-583
Invariant Tori of a Class of Point Mappings: The Annulus Principle
p. 584-601
Integral Representations of a Partial Sum of a Biorthogonal Series for Higher-Order Differential Operators
p. 602-611
On the Basis Property of a System of Eigenfunctions of a Nonlinear Spectral Problem
p. 612-618
Bases of Exponentials, Cosines, and Sines Formed by Eigenfunctions of Differential Operators
p. 619-623
Asymptotics for Nonlinear Evolution Equations with Small Dissipation
p. 624-637
An Analog of the Bitsadze–Samarskii Problem for a Mixed Type Equation with a Fractional Derivative
p. 638-644
On the Asymptotics of Solutions of the Lavrent'ev–Bitsadze Equation in a Partially Perforated Domain
p. 645-655
An Estimate of the Solution of a Problem for a Parabolic-Hyperbolic Equation with the Use of Fourier Series
p. 656-662
On Hyperbolic Systems of Conservation Laws
p. 663-673
On the First and Second Boundary Value Problems for Elliptic Systems on the Plane
p. 674-686
Spaces of Fractional Quotients of Periodic Functions
p. 687-709
On the Solution of a Singular Integral Equation
p. 710-714
An Initial-Boundary Value Problem for a Difference-Differential Tricomi Equation in an Unbounded Domain
p. 715-717

Sommaire du Fascicule no. 6

The Minimal Birkhoff Standard Form and the Reducibility Type
p. 723-730
Lyapunov Reducibility of a Linear System with Aftereffect
p. 731-737
Invariant Tori of a Class of Point Transformations: Preservation of an Invariant Torus Under Perturbations
p. 738-753
On the Stability of Motion of a Large-Scale System
p. 754-758
A Precise Estimate of the Number of Limit Cycles of Autonomous Systems on the Plane
p. 759-768
Hamiltonian Form of the Maxwell Equations and Its Generalized Solutions
p. 769-776
Nonlocal Boundary Value Problems for Nonuniformly Parabolic Equations
p. 777-787
The Tricomi Problem for a Mixed Type Equation with Two Orthogonal Degeneration Lines
p. 788-800
Application of the Special Series Method to the Construction of New Classes of Solutions of Nonlinear Partial Differential Equations
p. 801-808
Exponential Asymptotics of the Solution of the Second Boundary Value Problem for a Second-Order Parabolic Equation with a Small Parameter
p. 809-819
String Vibrations with Free Right Endpoint and with a Control of Small Absolute Value at the Left Endpoint
p. 820-828
Some New Approaches to the Investigation of a System of Nonlinear Equations of the Second Kind with Singular Integrals
p. 829-834
Two New Degenerate Hypergeometric Functions of Several Variables and Integral Equations Containing These Functions
p. 835-843
Asymptotics of the Resolvent of the Volterra Equation with a Nonintegrable Difference Kernel
p. 844-847
A Linear Pfaff System of Three Equations on $\mathbf{CP}^m$
p. 848-849
Conditions for the Positivity and Coercive Solvability of the Matrix Schrödinger Operator in Banach Spaces of Vector Functions
p. 850-851
A Lyapunov-Type Function for Generalized Dynamical Systems Without Uniqueness
p. 852-854
Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 855-860

Sommaire du Fascicule no. 7

A Nonlinear Self-Adjoint Spectral Problem for Differential-Algebraic Equations
p. 867-878
A Class of Additive Methods for Nonlinear Multidimensional Problems of Mathematical Physics
p. 879-887
A Decomposition Method for Variational Inequalities of the Second Kind with Strongly Inverse-Monotone Operators
p. 888-895
On the Convergence Rate of the Finite-Difference Solution of a Nonlocal Boundary Value Problem for a Second-Order Elliptic Equation
p. 896-903
The Paraxial Approximation to the Wave Equation in Curvilinear Coordinates for Numerical Simulation of Optical Beam Diffraction
p. 904-911
On the Stability of a Nonlocal Finite-Difference Boundary Value Problem
p. 912-917
On the Computation of Approximate Solutions of Fredholm Integral Equations of the First Kind with the Use of Empirical Data
p. 918-922
A Remark on the Theory of the Commutative Alternating Direction Method
p. 923-932
Discrete Operators in Spaces of Fractional Quotients of Periodic Functions
p. 933-954
Semidiscrete Finite Element Schemes for Nonstationary Degenerating Equations
p. 955-959
Monotone Difference Schemes for Nonlinear Parabolic Equations
p. 960-968
Efficient Two-Sided Methods for the Cauchy Problem in the Case of Large Integration Intervals
p. 969-973
Two-Sided Estimates of Eigenvalues of an Elliptic Operator
p. 974-981
Numerical Solution of a Nonlinear One-Dimensional System of Differential Equations Describing the Motion of a Free Thin Film
p. 982-988
A Symmetric Decomposition Scheme for a Schrödinger Problem
p. 989-992
Solving Poisson's Equation on a Multiprocessor System in Problems of Incompressible Fluid Flow Simulation
p. 993-1000
On the Nonlocal Solvability of the Cauchy Problem for Quasilinear Normal First-Order Partial Differential Equations
p. 1001-1003

Sommaire du Fascicule no. 8

On the Uniqueness of the Solution of an Inverse Spectral Problem
p. 1011-1015
A Generalized Normal Form and Formal Equivalence of Two-Dimensional Systems with Quadratic Zero Approximation: I
p. 1016-1029
Interior Ellipsoidal Bounds for the Attainability Sets of Linear Delay Control Systems
p. 1030-1037
Invariant Algebraic Curves of Polynomial Dynamical Systems
p. 1038-1043
The Asymptotics of Eigenvalues and Eigenfunctions of a Singular Quasidifferential Operator on a Finite Interval
p. 1044-1051
On the Construction of a Continuous Reconstruction Operation in the Complete Identification Problem for Linear Stationary Delay Systems
p. 1052-1057
A Criterion for the Existence of Several Limit Cycles of the Abel Equation of the Second Kind
p. 1058-1061
The Spectral Asymptotics of a Quadratic Pencil of Differential Operators
p. 1062-1067
On the Right Lipschitz Condition for Differential Equations with Piecewise Continuous Right-Hand Sides
p. 1068-1075
A Version of the Program Iteration Method
p. 1076-1086
Blow-Up of Solutions of the Mixed Problem for the Nonlinear Ginzburg–Landau–Schrödinger Evolution Equation
p. 1087-1091
Solution of a Boundary Value Problem for a Fractional Partial Differential Equation
p. 1092-1099
Representation of Solutions of Initial-Boundary Value Problems for Nonlinear Partial Differential Equations by the Method of Special Series
p. 1100-1107
On the Stability of a Class of Finite-Difference Equations with Slowly Varying Coefficients
p. 1108-1114
On the Numerical Solution of Hypersingular and Singular Integral Equations on the Circle
p. 1115-1136
The Maximum Principle for a Hyperbolic Grid System and Its Applications
p. 1137-1139
Generalized Solutions in Control Problems (International Symposium GSCP-2002, Pereslavl-Zalesskii, August, 27–31, 2002)
p. 1140-1143
Seminar on Problems of Nonlinear Dynamics and Control in Moscow University
p. 1144-1148

Sommaire du Fascicule no. 9

Boundary Value Problems for the Laplace Operator in an Infinite Plane Sector
p. 1155-1164
Singularities of the Solution Gradient in the Generalized Jump Problem for the Laplace Equation Outside a Cut on the Plane
p. 1165-1175
Solvability of Doubly Nonlinear Evolution Equations with Monotone Operators
p. 1176-1187
The Three-Dimensional Neumann Problem with Generalized Boundary Conditions and the Prandtl Equation
p. 1188-1200
Existence and Uniqueness of the Solution of a System of Integral Equations of the First Kind
p. 1201-1208
Paired Sum Equations and Singular Integral Equations in Electromagnetic Scattering by Open Conical Structures
p. 1209-1213
Approximate Solution of Nonlinear Integral Equations of the Theory of Developing Systems
p. 1214-1223
A New Version of the Subdomain Method for Linear Integral Equations with Fixed Singularities in the Kernel
p. 1224-1228
Justification of a Numerical Method for Solving Systems of Singular Integral Equations in Diffraction Grating Problems
p. 1229-1239
Analysis of Light Scattering by Rough Particles on the Basis of Integral Representations of Fields
p. 1240-1246
Numerical Solution of a Hypersingular Integral Equation on the Torus
p. 1247-1261
An Approximate Solution of a Singular Integral Equation of Aerodynamics with a Fixed Hypersingularity
p. 1262-1271
The Collocation Method with Parabolic Splines for Integral Equations with Singularities
p. 1272-1281
Exponential Stability of Almost Periodic Differential Equations
p. 1282-1285
Solution of the First Boundary Value Problem for a Fractional-Order Diffusion Equation
p. 1286-1289
Investigation of Scattering Problems in Complicated Electromagnetic Structures on the Basis of Integral Equations
p. 1290-1292

Sommaire du Fascicule no. 10

Observable Linear Nonstationary Systems of Total Differential Equations
p. 1299-1306
Qualitative Analysis of the Singular Cauchy Problem for a Differential Equation Unsolved for the Derivative
p. 1307-1314
A Criterion for the Invariance of Characteristic Exponents of Linear Systems with a Small Parameter Multiplying the Derivative
p. 1315-1324
Structural Stability of Nonautonomous Systems
p. 1325-1333
An Estimate of the Number of Limit Cycles via Critical Points of Conditional Extremum
p. 1334-1342
Unique Solvability of Nonlocal Boundary Value Problems for Systems of Hyperbolic Equations
p. 1343-1354
Properties of Solutions of Equations Containing Powers of an Unbounded Operator
p. 1355-1365
The Riemann Function for Higher-Order Hyperbolic Equations and Systems with Dominated Lower-Order Terms
p. 1366-1378
Ill-Posed Initial-Boundary Value Problems for Higher-Order Linear Hyperbolic Equations with Two Independent Variables
p. 1379-1394
Higher-Order Approximations of the Averaging Method for Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Coefficients
p. 1395-1403
Solvability of a Nonlocal Version of the Gellerstedt Problem
p. 1404-1408
Weakly Degenerate Hyperbolic Equations
p. 1409-1419
Optimal Control of an Elliptic Equation with a Nonsmooth Nonlinearity
p. 1420-1424
A Test for the Completeness of the Root Vectors in the Tricomi Problem
p. 1425-1426
A Class of Asymptotically Equivalent Spatially Homogeneous Discrete Boltzmann Equations
p. 1427-1429
Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method
p. 1430-1433
Bifurcation of an Invariant Torus from an Equilibrium Under Commensurability Conditions
p. 1434-1436

Sommaire du Fascicule no. 11

A Finite-Dimensional Approximation Method in Optimal Control Theory
p. 1443-1451
Necessary Solvability Conditions for Multiparameter Riccati Equations in the Robust Output Feedback $H^\infty$-Control Problem
p. 1452-1456
Solution of the Absolute Stabilization Problem for Delay Systems in the Class of Finite-Dimensional Controllers
p. 1457-1466
On a Class of Transformations and Invariants of Linear Control Systems
p. 1467-1473
Control Under Indeterminacy and Double Constraints
p. 1474-1486
Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: II
p. 1487-1496
On Nonsmooth Multivalent Guiding Functions
p. 1497-1502
Global Stabilization of Affine Systems via Virtual Outputs
p. 1503-1510
Finding Homoclinic and Heteroclinic Contours of Singular Points of Nonlinear Systems of Ordinary Differential Equations
p. 1511-1520
On a Nonlinear Optimal Investment Problem
p. 1521-1526
New Cooperative Theory and Program Differential Games
p. 1527-1535
Smoothness of the Generalized Solution of an Elliptic Equation with Nonpower Degeneracy
p. 1536-1542
A Boundary Control Problem for a Nonlinear Parabolic Equation
p. 1543-1549
A Time-Periodic Solution of the Equation of Forced Vibrations of a String with Homogeneous Boundary Conditions
p. 1550-1555
The Phase Space of the Cauchy–Dirichlet Problem for a Nonclassical Equation
p. 1556-1561
On the Maximum Possible Negativity Margin for the First Derivative (First Difference) of a Quadratic Lyapunov Function
p. 1562-1563
On the Construction of the Homoclinic Butterfly Bifurcation Surface for the Lorenz System
p. 1564-1565
A Modification of Perron's Counterexample
p. 1566-1567
On the Completeness of Eigenfunctions of a Nonlocal Gellerstedt Boundary Value Problem
p. 1568-1570
On the Method of Indeterminate Coefficients for Nonhomogeneous Linear Ordinary Differential Equations
p. 1571-1573
Pontryagin Readings-XIV at Voronezh Spring Mathematical School “Modern Methods in Qualitative Theory of Boundary Value Problems”
Seminar on the Qualitative Theory of Differential Equations at Moscow State University
p. 1575-1579

Sommaire du Fascicule no. 12

The Pontryagin Maximum Principle and Sufficient Optimality Conditions for Nonlinear Problems
p. 1587-1595
On the Equivalence of Foliations of Linear Differential Systems
p. 1596-1599
Stability of a Homogeneous Nonstationary System with Linear Delay
p. 1600-1604
Continua of Cycles of Higher-Order Equations
p. 1605-1616
Stability-Like Properties of Stochastic Differential Equations
p. 1617-1626
Global Controllability of the Complete Set of Lyapunov Invariants of Periodic Systems
p. 1627-1636
A Theory of Dynamic Conflict Problems on Intersecting Sets
p. 1637-1644
Nonzero Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations with a Singular Matrix Multiplying the Derivatives
p. 1645-1653
Controllability Conditions for the Riccati Equation
p. 1654-1661
Global Solutions of the Drift-Diffusion Approximation Equations in Gas Discharge Theory
p. 1662-1676
Existence and Uniqueness of Solutions of Some Nonlinear Parabolic Equations
p. 1677-1683
The Behavior of Solutions of Degenerate Elliptic Second-Order Equations with Lower-Order Terms in Unbounded Domains
p. 1684-1692
Fredholm Property of the Inverse Source Problem for Parabolic Systems
p. 1693-1700
On the Solvability of Hyperbolic Equations and Elliptic Inequalities on Stratified Sets
p. 1701-1703
Problem $\Delta_2$ for a Hyperbolic Equation with a Transmission Condition for Limits of Fractional Derivatives
p. 1704-1707
An Estimate of the First Eigenvalue in a Many-Point Boundary Value Problem
p. 1708-1711
A Stabilization Criterion for the Solution of the Cauchy Problem for the Heat Equation in the Bolyai–Lobachevskii Space