Geodesic

Sommaire du Fascicule no. 1

Spectral Analysis of Linear Differential Operators and Semigroups of Finite-Difference Operators: II
p. 3-11
$B$-Stability and Its Applications to the Tikhonov and Malkin–Gorshin Theorems
p. 12-17
How to Compute the Value of a Positional Differential Game
p. 18-26
A Nonlocal Spectral Problem for the Sturm–Liouville Equation on the Half-Line
p. 27-35
The Sokhotskii Problem for the Carleman–Vekua Equation on a Riemann Surface
p. 36-41
The Filtration-Absorption Equation with a Variable Coefficient
p. 42-47
Loaded Equations with Periodic Boundary Conditions
p. 48-54
Regular Perturbations of Nonstationary Problems of Mathematical Physics Related to Linear Constraints: I
p. 55-65
The Periodic Problem for the Generalized Kolmogorov–Petrovskii–Piskunov Equation
p. 66-72
Method of Boundary Integral Equations in the Mixed Problem for the Laplace Equation with an Arbitrary
p. 73-82
An Asymptotic Approximation to the Solutions and Eigenvalues of a Boundary Value Problem for
p. 83-90
New Modifications of the Collocation Method for a Class of Linear Equations with a Hadamard Integral
p. 91-96
A Two-Sided Functional-Discrete Method for Boundary Value Problems for Second-Order Ordinary Differential Equations on the Half-Line
p. 97-104
General Linear Methods for the Numerical Solution of Functional-Differential Equations
p. 105-114
Projection-Difference Methods for the Approximate Solution of Parabolic Equations with Nonsymmetric Operators
p. 115-123
Asymptotics with Respect to Small Parameters of the Solution of a Parabolic Problem with Discontinuous Data
p. 124-125
An Extremal Problem in a Hilbert Space
p. 126-127
On a Multivalued Nonlinear Variational Inequality
p. 128-129
Estimates of the Solution of the Second Boundary Value Problem for Parabolic Systems in the Hölder Space $\underset\circ{C}{}_\lambda^{2+\alpha,(2+\alpha)/2}(\bar\Omega)$
p. 130-131
Estimates of the Linearization Error with Respect to Some or All Phase Variables
p. 132-133
Seminar on Problems of Nonlinear Dynamics and Control at Moscow State University
p. 134-138
The Third Volume of the Encyclopaedia Sovremennoe Estestvoznanie (Modern Natural Science)

Sommaire du Fascicule no. 2

The Method of Lyapunov Functionals for Linear Difference-Differential Systems with Almost Periodic Coefficients
p. 147-153
Solvability of Functional-Differential Equations with Fractional Derivatives
p. 154-163
The Gap Lengths in the Sequence of Spectral Parameters of Hilbert Function Systems
p. 164-170
A Step-Like Contrast Structure for the Case of a Multiple Root of the Transition Point Equation (the Critical Case)
p. 171-180
Functional Boundary Value Problems for a Class of Evolution Equations with an Unbounded Linear Operator
p. 181-190
Stable Periodic Trajectories of Two-Dimensional Diffeomorphisms Close to a Diffeomorphism with a Structurally Unstable Heteroclinic Contour
p. 191-201
The Existence of an Almost Periodic Solution of a Linear System with a Quadratic Performance Functional
p. 202-211
On the Reducibility of a Nonnegatively Hamiltonian Periodic Operator Function in a Real Hilbert Space to a Block Diagonal Form
p. 212-217
The Samoilenko Reduction Principle for Differential Equations with Random Perturbations
p. 218-222
The Unique Solvability of the Doubly Periodic Problem for a System of Nonlinear Telegraph Partial Differential Equations
p. 223-227
Minimax Solutions of Functional Equations of the Hamilton–Jacobi Type for Hereditary Systems
p. 228-237
Solution of the Heat Equation with Mixed Boundary Conditions on the Surface of an Isotropic Half-Space
p. 238-241
The Inverses of Solvable Extensions and Proper Restrictions of the Operation $-\operatorname{div}\operatorname{grad}$ Are Not Volterra Operators
p. 242-251
A Remark on the Theory of Generalized Entropy Sub- and Supersolutions of the Cauchy Problem for a First-Order Quasilinear Equation
p. 252-259
Suboptimal Control of a Semilinear Elliptic Equation with a Phase Constraint and a Boundary Control
p. 260-275
Smoothness of Strong Solutions of Complete Hyperbolic Second-Order Differential Equations with Variable Domains of Operator Coefficients
p. 276-278
Duck Cycles in a Mathematical Model of the Population Density Dynamics of Siberian Silkworm Moth
p. 279-281
A Differential Equation of the Second Order with Respect to Time in a Domain with Moving Boundary
p. 282-283

Sommaire du Fascicule no. 3

Anatolii Andreevich Martynyuk (A Tribute in Honor of His 60th Birthday)
p. 291-298
Hilbert and Bessel Properties of Systems of Root Functions of $2m$th-Order Operators
p. 299-309
An Internal Transition Layer in a Linear Optimal Control Problem
p. 310-322
Using Transformation Methods to Describe Discontinuous Trajectories in Problems with Phase Constraints
p. 323-327
The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: I
p. 328-342
Solvability of the Equations of Motion of a Mechanical System with Dry Friction
p. 343-351
The Geometry of Discontinuous Systems Near a Hyperbolic Singular Point of the Sliding Field
p. 352-374
Linkage of Cycles and Boundary Value Problems for Ordinary Differential Equations
p. 375-383
Algebraic Aspects of Finding a Dulac Function for Polynomial Autonomous Systems on the Plane
p. 384-390
Solutions Periodic in Distribution to a Boundary Value Problem for the Telegraph Equation
p. 391-396
Attractors of a Nonlinear Boundary Value Problem Arising in Aeroelasticity
p. 397-401
A Formula for the First Regularized Trace of a Perturbed Laplace–Beltrami Operator
p. 402-409
Error Estimates for an Approximation to a Characteristic Singular Integral Equation
p. 410-414
A Grid Approximation to the Transport Equation in the Problem on a Flow Past a Flat Plate at Large Reynolds Numbers
p. 415-424
Uniform Approximation of Solutions of the Initial Value Problem for Functional-Differential Equations by Dirichlet Series
p. 425-428

Sommaire du Fascicule no. 4

Bifurcation of an Equilibrium for a System of Differential Equations in the Critical Case of Two Pure Imaginary and Two Zero Roots of the Characteristic Equation: II
p. 435-438
A Critical Periodic Boundary Value Problem for a Matrix Riccati Equation
p. 439-445
Reducibility of Single-Input Linear Piecewise Smooth Systems to Hessenberg and Frobenius Forms
p. 446-452
A Parameter Extension Method for Solving Boundary Value Problems in Optimal Control Theory
p. 453-457
Remarks on Guiding Functions and Periodic Solutions
p. 458-469
Nonanticipating Multimappings and Their Construction by the Method of Program Iterations: I
p. 470-480
A Special Dulac Function for a Quadratic System on the Plane
p. 481-487
The Green Matrix for Strictly Hyperbolic Systems with Second-Order Derivatives
p. 488-494
A Two-Dimensional Step-Like Contrast Structure in the Case of a Multiple Root of the Transition Line Equation
p. 495-510
Criticality for Some Evolution Equations
p. 511-520
Critical Exponents for the Absence of Solutions for Systems of Quasilinear Parabolic Inequalities
p. 521-528
A Generalization of a Fundamental System of Functions of the Laplace Operator
p. 529-537
Periodic Solutions of a System of Linear Difference Equations with Continuous Argument
p. 538-546
A Two-Sided Method for the First Boundary Value Problem for Singular Ordinary Differential Equations
p. 547-557
A Class of Singularly Perturbed Boundary Value Problems with Unstable Spectrum of the Limit Operator
p. 558-561
Conditions for Convergence of Biorthogonal Expansions of Functions on a Closed Interval
p. 562-565
Periodic Solutions of Nonlinear Nonautonomous Systems of Ordinary Differential Equations
p. 566-569
The Dirichlet Problem for a Degenerate Hyperbolic Equation in a Rectangle
p. 570-572

Sommaire du Fascicule no. 5

Yurii Petrovich Popov (A Tribute in Honor of His Sixtieth Birthday)
p. 579-585
Functional Relations Between Solutions of the Fifth Painlevé Equation
p. 586-591
Stability of a Periodic Solution of a Nonlinear Delay Differential Equation
p. 592-600
Continuous Differentiability of Almost Periodic Solutions with Respect to a Parameter
p. 601-608
On the Andronov–Hopf Bifurcation Theorem
p. 609-615
Necessary Properties of Boundary Degree Sets of Solutions to Linear Pfaff Systems
p. 616-627
Conditions for the Uniform Asymptotic Stability of Delay Differential Equations
p. 628-637
Constructing the Value of a Differential Game with a Positional Performance Functional
p. 638-647
The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: II
p. 648-660
Nonoscillation of Ordinary Differential Equations and Inequalities on Spatial Networks
p. 661-671
Lyapunov Reducibility on Exceptional Rays
p. 672-678
Nonanticipating Multimappings and Their Construction by the Method of Program Iterations: II
p. 679-688
Solvability of a Mixed Boundary Value Problem for the Stationary Navier–Stokes Equations
p. 689-695
Asymptotic Integration of the Navier–Stokes System with a Rapidly Oscillating Mass Force
p. 696-705
An Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator
p. 706-709
The Structure of the General Solution and Integrating Factors in a Neighborhood of a Simple Singular Point
p. 710-713
An Inverse Problem for Stochastic Differential Systems
p. 714-716

Sommaire du Fascicule no. 6

Oscillation Conditions for a Third-Order Linear Equation
p. 723-729
Quasiperiodic Solutions of Linear Nonhomogeneous Differential Equations
p. 730-734
Blow-Up Kneser Solutions of Nonlinear Higher-Order Differential Equations
p. 735-743
Unique Solvability of the Equations of Motion of a Mechanical System with Dry Friction
p. 744-751
Coppel–Conti Sets of Linear Unstable Systems
p. 752-760
Some Boundary Value Problems for Nonlinear Functional-Differential Equations
p. 761-770
Regularized Traces for a Class of Singular Operators
p. 771-778
Regular Perturbations of Nonstationary Problems of Mathematical Physics Related to Linear Constraints: II
p. 779-791
The Construction of a Self-Adjoint Extension of the Schrödinger Operator with Potential Concentrated
p. 792-795
Unboundedness of Solutions of an Initial-Boundary Value Problem for a Degenerate Nonlinear Parabolic Equation
p. 796-799
An Analog of Andre's Re ection Principle for Diffusion Processes with a Small Parameter
p. 800-808
Riesz Summability of Spectral Expansions for a Class of Integral Operators
p. 809-814
An Application of the Riesz–Schauder Theorem to Integral Equations of the Kneser Type
p. 815-819
Averaging of Integro-Quasidifferential Equations
p. 820-824
The Algebra of Singular Operators with Terminal Symbol on a Piecewise Smooth Curve: II. Basic Constructions
p. 825-838
Invertibility of Nonnegatively Hamiltonian Operators in a Hilbert Space
p. 839-841
Construction of the Asymptotics of the Green Function in a Neighborhood of a Singular Point
p. 842-843
A Classical Solution, Weakened on the Axis, of a Centrally Symmetric Mixed Problem for
p. 844-846
Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 847-860

Sommaire du Fascicule no. 7

On the Convergence Rate of Additive Iterative Methods
p. 867-879
The Green Function and A Priori Estimates of Solutions of Monotone Three-Point Singularly Perturbed Finite-Difference Schemes
p. 880-890
Convergence Analysis of Iterative Methods for Some Variational Inequalities with Pseudomonotone Operators
p. 891-898
Two-Level Preconditioners of Grid Equations in Pseudo-Conjugate Direction Methods
p. 899-904
An Averaged Nonlinear Model of Hemodynamics on the Vessel Graph
p. 905-912
Specific Features of the Numerical Solution of Problems for a Generalized Nonlinear Schrödinger Equation
p. 913-916
A Finite-Difference Method for Nonstationary Convection-Diffusion Problems
p. 917-925
Stability of a Nonlocal Two-Dimensional Finite-Difference Problem
p. 926-932
Exact Stationary and Autowave Solutions in Minimal Models of a Bistable Medium
p. 933-940
Error Estimates of the Galerkin Method for Quasilinear Hyperbolic Equations
p. 941-949
Strong Stability of Operator-Differential Equations and Operator-Difference Schemes in Norms Integral with Respect to Time
p. 950-958
An Almost Optimal Method for Dirichlet Problems on Decomposition Subdomains of the Hierarchical hp-Version
p. 959-968
Investigation of the Convergence of a Finite-Difference Method for the Drop Surface Equation with the Neumann Boundary Condition
p. 969-975
Finite-Difference Methods in Problems Modeling Volume Free Electron Lasers
p. 976-981
Spectral Analysis of the Convergence of Multicomponent Iterative Methods
p. 982-986
Grid Approximations to Singularly Perturbed Parabolic Equations with Turning Points
p. 987-999
Methods for Grid Equations in the Case of Inhomogeneous Media
p. 1000-1002
A Remark on the Solution of the Problem of Analytic Construction of Optimal Regulators with Given Boundary Conditions
p. 1003-1004

Sommaire du Fascicule no. 8

Exponential Stability by the Linear Approximation
p. 1011-1027
A Spectral Theorem for Sturm–Liouville Operators with Potentials That Are Finite Sums of Exponentials
p. 1028-1040
Weak Solutions of Stochastic Differential Equations with Discontinuous Coefficients
p. 1041-1048
The Leray–Schauder Method vs Translation along the Trajectories: Which Is Better in the Theory of Boundary Value Problems?
p. 1049-1061
A priori Estimates of Generalized Solutions of the Wave Equation
p. 1062-1070
Multiple Solutions of Some Nonlinear Elliptic Problems Containing the $p$-Laplacian
p. 1071-1081
Boundary Control of Vibrations at One Endpoint with the Other Endpoint Free in Terms of a Finite-Energy Generalized Solution of the Wave Equation
p. 1082-1095
Optimal Stabilization of Adaptive Dynamical Systems with Distributed Parameters: I
p. 1096-1107
Positive and Probabilistic Solutions of One-Dimensional Quasilinear Parabolic Differential Equations
p. 1108-1114
Complex Powers of Some Second-Order Differential Operators with Constant Complex Coefficients in $L_p$-Spaces
p. 1115-1117
Method for Solving Nonstationary Heat Problems with Mixed Discontinuous Boundary Conditions on the Boundary of a Half-Space
p. 1118-1121
Dispersion and Asymptotic Properties of Finite-Difference Approximations to Schrödinger Equations
p. 1122-1124
The Relationship between Various Types of Dichotomy
p. 1125-1127
Stability Analysis of a Linear-Fractional Delay System
p. 1128-1131
A Generalized Green Operator for a Boundary Value Problem with Impulse Action
p. 1132-1135
Twenty-Five Years of the Perm Seminar on Functional-Differential Equations
p. 1136-1139
Seminar on Problems of Nonlinear Dynamics and Control at Moscow State University
p. 1140-1147
Vladimir Ivanovich Zubov [1930–2000]

Sommaire du Fascicule no. 9

Algebraical Limit Cycles of Polynomial Vector Fields on the Plane
p. 1155-1160
Singular Stratified Manifolds of Involutive Controlled Systems
p. 1161-1167
Analytic Solvability of the Stability Problem in Some Classes of Monodromic Germs
p. 1168-1176
Conditions for the Technical Stability of Solutions of Autonomous Differential Equations with a Discontinuous Control
p. 1177-1185
Fredholm Boundary Value Problems with a Singular Perturbation
p. 1186-1193
The Correct Solvability of Some Differential-Difference Equations in the Scale of Sobolev Spaces
p. 1194-1202
Stability Estimates for the Inverse Problem of Finding the Absorption Constant
p. 1203-1211
The Tricomi Problem for the Lavrent'ev–Bitsadze Equation with Retarded Argument
p. 1212-1215
The Oscillating Boundary Phenomenon in the Homogenization of a Climatization Problem
p. 1216-1222
On the Existence Theorem for Weak Solutions of Increased Smoothness of the Multidimensional Navier–Stokes Equations
p. 1223-1228
On an Integral Representation of Resurgent Functions
p. 1229-1238
Attractors of Nonlinear Elliptic Equations with a Small Parameter
p. 1239-1249
Homogenization of the Neumann Problem in a Domain a Part of Which Is a Set of Channels
p. 1250-1257
A System of Volterra Convolution Equations of the First Kind on a Finite Interval
p. 1258-1264
The Equivalence of Causal and Ordinary Invertibility for Integral Convolution Operators
p. 1265-1272
The Exponential Asymptotics of Solutions of the Kolmogorov–Feller Equation
p. 1273-1276
Relaxation Phenomena in a Model of the Development of a Recurring Epidemic
p. 1277-1278
Estimates of Formal Eigenvalues of Trace Class Operators
p. 1279-1280
A Boundary Value Problem for a Class of Mixed Equations with the Bitsadze–Samarskii Condition on Parallel Characteristics
p. 1281-1284
On the Zeros of Solutions of the Equation $y^{(2k+1)}+p(z)y=0$
p. 1285-1288
Bounded and Periodic Solutions of Nonlinear Differential Systems
p. 1289-1291

Sommaire du Fascicule no. 10

The Method of Integral Equations in the Mixed Dirichlet–Neumann Problem for the Laplace Equation in the Exterior of Cuts in the Plane
p. 1299-1310
The Neumann Problem with Boundary Condition on an Open Plane Surface
p. 1311-1329
Regularized Asymptotic Solutions of Singularly Perturbed Integral Systems with a Diagonal Degeneration of the Kernel
p. 1330-1341
A Uniqueness Theorem for a Convolution Integral Equation of the First Kind with Differentiable Kernel on an Interval
p. 1342-1349
The Inverse Problem for a Quasilinear Integro-Differential Equation
p. 1350-1356
An Analysis of Integral Equations Arising in Problems of Electromagnetic Scattering by Transparent 3D Structures
p. 1357-1363
The Algebra of Singular Operators with Terminal Symbol on a Piecewise Smooth Curve: III. Operators of Normal Type
p. 1364-1376
New Versions of Spline Methods for a Class of Integro-Differential Equations
p. 1377-1385
Strict and Approximate Models of a Scratch on the Basis of the Method of Integral Equations
p. 1386-1394
Investigation of Some Hypersingular Integral Equations on the Sphere
p. 1395-1405
Approximations by Atomic Functions and Numerical Methods for Fredholm Integral Equations of the Second Kind
p. 1406-1414
The Cubic Spline-Collocation Method for Weakly Singular Integral Equations
p. 1415-1424
Solvability and Properties of Solutions of Infinite Algebraic Systems with Power Difference Indices
p. 1425-1431
On Volterra–Fredholm Equations with Partial Integrals
p. 1432-1433
Normalization of Systems of Singular Integral Equations
p. 1434-1435
Ivan Aleksandrovich Kipriyanov [1923–2001]

Sommaire du Fascicule no. 11

Analysis of Trajectories of a Nonlinear System of Differential Equations
p. 1443-1452
An Approach to Variational Problems
p. 1453-1461
Solution of a Class of Control Problems with Perturbations in the Output Variables
p. 1462-1467
A Separation Principle for Affine Systems
p. 1468-1475
Nonlinear Control Synthesis Under Two Types of Constraints
p. 1476-1484
Construction of Robust Control Laws on the Basis of the Minimax Approach
p. 1485-1493
A New View of the Lorenz Attractor
p. 1494-1506
Contrast Structures, Limit Dynamics, and the Painlevé Paradox
p. 1507-1515
The Continuity of the Optimal Value of a Functional in Some Optimal Control Problems
p. 1516-1523
Extension of the Basic Saddle Points for Two-Person Zero-Sum Differential Games
p. 1524-1530
Absence Theorems for Some Classes of Nonlinear Systems
p. 1531-1541
Optimal Stabilization of Adaptive Dynamical Systems with Distributed Parameters: II
p. 1542-1550
Milyutin's Theorem in Linear-Quadratic Optimal Control Problems
p. 1551-1553
Regular Dynamics and Diffusion Chaos in the Brusselator Model
p. 1554-1556
Limit Sets of Dynamical Systems
p. 1557-1558
Search for and Stabilization of Unstable Saddle Cycles in the Lorenz System
p. 1559-1561
Nonlocal Boundary Value Problems in a Vertical Half-Strip for a Generalized Axisymmetric Helmholtz Equation
p. 1562-1564
Solvability of a Nonlocal Boundary Value Problem
p. 1565-1567
Similarity Invariants for a Class of Linear Controlled Systems
p. 1568-1570
Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 1571-1580

Sommaire du Fascicule no. 12

Valentin Vital'evich Rumyantsev (A tribute in honor of his 80th birthday)
p. 1587-1592
Lower Bounds for the Characteristic Exponents of a Linear System with Generalized Perron Perturbations
p. 1593-1598
A Remark on the Convergence Problem for Spectral Expansions Corresponding to a Classical Problem with Spectral Parameter in the Boundary Condition
p. 1599-1604
Asymptotic Observers for Bilinear Systems on the Plane
p. 1605-1611
Generalized Bernstein Conditions for Systems of Ordinary Differential Equations
p. 1612-1617
Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for Second-Order Elliptic Equations in Unbounded Layer Domains
p. 1618-1628
The Gevrey Problem for a Third-Order Difference-Differential Mixed-Parabolic Equation
p. 1629-1636
The Oblique Derivative Problem for a Nonuniformly Parabolic Equation
p. 1637-1645
Smoothness of Solutions of Linear Equations of Sobolev Type
p. 1646-1649
Relative Stabilization of a Nonlinear Degenerate Parabolic Equation
p. 1650-1654
Optimization of the Boundary Control of Vibrations on One Endpoint with the Other Endpoint Being Fixed
p. 1655-1663
On a Class of Additive Iterative Methods
p. 1664-1673
State Estimation for Two-Parameter Discrete Systems
p. 1674-1679
Conditions for the Stable Coexistence of Two Populations of the Same Species
p. 1680-1685
Stability of Volterra Difference Equations
p. 1686-1694
Some Qualitative Properties of Solutions of a Mixed Boundary Value Problem for Second-Order Quasilinear Elliptic Equations
p. 1695-1697
The Construction of the Riemann Function for a Fourth-Order Equation
p. 1698-1701
Integro-Quasidifferential Equations
p. 1702-1704
Bifurcations of Solutions of Differential Equations in the Problem of Loop Generation on a Flexible Rod
p. 1705-1707
Quadrature Formulas with Prescribed Nodes for Singular Integrals
p. 1708-1710
Letter to the Editorial Board