Geodesic

Sommaire du Fascicule no. 1

Mikhail Tikhonovich Terekhin (a Tribute in Honor of His Seventieth Birthday)
p. 3-4
On the Completeness of Root Functions of Pencils of Linear Ordinary Differential Operators with General Boundary Conditions
p. 5-14
On the Coordinate Synchronization Problem for Dynamical Systems
p. 15-23
The Cauchy Problem for a Class of Nonlinear Differential Equations in a Banach Space
p. 24-32
Sufficient Conditions for the Stable Controllability of a Nonautonomous System in the Critical Case
p. 33-40
Global Reducibility of Linear Control Systems to Systems of Scalar Type
p. 41-46
Stability of Linear Differential-Algebraic Systems
p. 47-57
Laplace Invariants for Some Classes of Linear Partial Differential Equations
p. 58-68
Strong Stratified Sets and the Friedrichs Inequality
p. 69-76
Existence and Uniqueness of a Generalized Solution of a Mixed Problem for the Wave Equation with a Nonlinear Nonlocal Boundary Condition
p. 77-81
Justification of the Collocation Method for a Class of Boundary Integral Equations
p. 82-86
A Boundary Value Problem for the Linearized Haemodynamic Equations on a Graph
p. 87-97
Stability of the Zero Solution of an Almost Periodic System of Finite-Difference Equations
p. 98-103
On the Numerical Solution of Lippmann–Schwinger Equation
p. 104-111
Singularly Perturbed Integro-Differential Equations with Diagonal Degeneration of the Kernel in Reverse Time
p. 112-119
On the Theory of the Continual Integro-Differentiation Operator
p. 120-127
Systems of Renewal-Type Integral Equations on the Line
p. 128-137
A Second-Order Linear System with Fuchsian Singularities on $\mathbf{CP}^m$
p. 138-140

Sommaire du Fascicule no. 2

On Effective Solvability Conditions for Variational Problems
p. 147-153
A Regularized Continuous Second-Order Extragradient Method with a Variable Metric for Equilibrium Programming Problems with Admissible Set Not Known Exactly
p. 154-168
A Constructive Method for Solving the Complete Controllability Problem for Linear Systems
p. 169-176
On the Existence of an Optimal Control in a Nonlinear Minimum Time Problem
p. 177-182
On a Small Stabilizing Perturbation of a Singular Differential Equation with a Constant Operator and a Degenerate Coefficient of the General Form
p. 183-190
Complex Scaling for a Waveguide Scattering Problem
p. 191-197
The Discrete Spectrum of the Laplace Operator in a Cylinder with Locally Perturbed Boundary
p. 198-207
A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave Operator
p. 208-215
Elliptic Problems on Stratified Manifolds in Spaces with Asymptotics: I
p. 216-228
On the Cauchy Problem for the Schrödinger Equation with Generator of Variable Type
p. 229-241
A Priori Estimates Related to Differential Operators of Kuptsov–Hörmander Type
p. 242-250
On the Fredholm Property of Linear Elliptic Operators in $R^n$
p. 251-256
On the Limit Sets of Orbits of Systems of Vector Fields
p. 257-260
Stability of Solutions of Stochastic Differential Equations with Random Delays
p. 261-264
On the Structure of an Equilibrium of a System of Finite-Difference Equations
p. 265-267
Smoothness of Means of the Spectral Resolutions Corresponding to Elliptic Pseudodifferential Operators
p. 268-270
A Stability Criterion for Linear Functional-Differential Equations and Its Practical Implementation
p. 271-273
On an Abstract Evolution Equation
p. 274-276
Higher Derivatives of Lyapunov Functions
p. 277-279
Seminar on Problems of Nonlinear Dynamics and Control at Moscow State University
p. 280-284

Sommaire du Fascicule no. 3

Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: I
p. 291-298
Regularity Conditions for a Pencil of General Ordinary Differential Operators
p. 299-309
A Generalized Cauchy Problem for Singularly Perturbed Impulsive Systems in the Critical Case
p. 310-323
On the Extremals of a Functional on the Plane
p. 324-329
An Asymptotic Analog of Reducibility Theorems for Some Classes of Nonautonomous Linear Systems
p. 330-333
Reflection Function and the Small Parameter Method
p. 334-337
Well-Posedness of the Cauchy Problem for Nonlinear Differential Equations with Variable Delays
p. 338-345
Properties of Solutions of Functional-Differential Equations with Measure
p. 346-355
On the Formation of a Solution with an Internal Layer in a Parabolic System with Different Powers of a Small Parameter
p. 356-367
Homogenization of the Poisson Equation in a Perforated Domain with the Signorini Condition and the Third Boundary Condition on the Cavity Boundaries
p. 368-379
Invariant Reduction of Partially Potential Branching Equations and Iterative Methods in the Problem on a Bifurcation Point with a Symmetry
p. 380-388
The First Boundary Value Problem for a Parabolic Equation in the Hölder Class $H_\alpha$
p. 389-395
Uniqueness Classes in a Time-Nonlocal Problem for the Heat Equation and Complex Eigenfunctions of the Laplace Operator
p. 396-405
Boundary Layer Formation in a Pseudoelastic Medium Under Gradual Acceleration
p. 406-416
Approximate Solution of Operator Equations with Regard to New Properties of Chebyshev Polynomials
p. 417-420
On the Uniform Convergence and Basis Property of the Means of Spectral Expansions Corresponding
p. 421-424
Simultaneous Local Controllability of the Spectrum and the Lyapunov Irregularity Coefficient of Regular Systems
p. 425-428

Sommaire du Fascicule no. 4

Viktor Antonovich Sadovnichii (A tribute in honor of his sixty-fifth birthday)
p. 435-442
Well-Posedness of the Cauchy Problem for Linear Systems of Generalized Ordinary Differential Equations on an Infinite Interval
p. 443-454
Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: II
p. 455-464
Periodic Solutions of a Class of Nonlinear Systems of Ordinary Differential Equations
p. 465-476
On the Unique Solvability of the Dirichlet Problem for a Second-Order Linear Functional-Differential Equation
p. 477-484
Asymptotic Behavior of the Density of the Spectral Measure of the Singular Sturm–Liouville Operator
p. 485-499
Formulas for the Variation of the Solution of a Differential Equation with Retarded Arguments and with a Continuous Initial Condition
p. 500-508
Some Hardy Inequalities on the Heisenberg Group
p. 509-521
An Analog of the Peano Theorem for Fractional-Order Quasilinear Equations in Compactly Embedded Scales of Banach Spaces
p. 522-526
Solitary Waves in the Model of a Predeformed Nonlinear Composite
p. 527-538
Generalized Solutions in $L_2$ of the Second Boundary Value Problem for the Wave Equation
p. 539-546
Boundary Value Problems for a Parabolic Equation with Integral Conditions
p. 547-564
A Multidimensional Version of the Darboux Problem for a Model Degenerating Second-Order Hyperbolic Equation
p. 565-573

Sommaire du Fascicule no. 5

Stanislav Vasil'evich Emel'yanov (A Tribute in Honor of His 75th Birthday)
p. 579-581
On the Theory of Higher-Order Painlevé Equations
p. 582-589
On the Existence of Partially Irregular Almost Periodic Solutions of Linear Nonhomogeneous Differential Systems in a Critical Nonresonance Case
p. 590-596
Asymptotic Estimates of the Solution of a Singularly Perturbed Boundary Value Problem with an Initial Jump for Linear Differential Equations
p. 597-607
An Investigation of a Linear Hamiltonian Singularly Perturbed Boundary Value Problem
p. 608-616
Some Properties of the Persidskii Spectrum
p. 617-625
Asymptotic Methods for Solving the Hamilton Equations with the Use of a Parametrization of Canonical Transformations
p. 626-638
A Classical Solution Weakened on the Axis for a Centrally Symmetric Mixed Problem for
p. 639-644
On the Interaction of Traveling Waves in a Parabolic Functional-Differential Equation
p. 645-654
On the Strong Stability of First-Order Operator-Differential Equations
p. 655-661
Positive Solutions of Some Semilinear Differential Inequalities and Systems
p. 662-672
Generalized $L_2$ Solutions of Mixed Boundary Value Problems for the Wave Equation
p. 673-680
On the Traces of Means of Spectral Expansions Corresponding to Elliptic Pseudodifferential Operators
p. 681-685
On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points
p. 686-691
On the Unique Solvability of the Cauchy Problem for Some Difference-Differential Parabolic Equations
p. 692-701
Strongly Holomorphic Groups of Linear Equations of Sobolev Type in Locally Convex Spaces
p. 702-712
Two Forms of Stability Change for Integral Manifolds
p. 713-716

Sommaire du Fascicule no. 6

On the Construction of Upper and Lower Solutions by the Nagumo Method
p. 723-730
Asymptotic Solution of the Threshold Phenomenon Problem for the Principal Resonance Equations
p. 731-739
On a Control Problem
p. 740-746
On Nonlinear Boundary Value Problems for Two-Dimensional Differential Systems
p. 747-755
Movable Singular Points of Polynomial Ordinary Differential Equations
p. 756-762
On a Nonlocal Boundary Value Problem with Variable Coefficients for the Heat Equation and the Aller Equation
p. 763-774
Elliptic Problems on Stratified Manifolds in Spaces with Asymptotics: II
p. 775-786
Properties of Solutions of a Reactor Dynamics Problem Taking into Account Xenon Oscillations
p. 787-797
Controllability in a Nonlinear Parabolic Problem with Integral Overdetermination
p. 798-815
Controllability and Stabilizability of Discrete Systems in a Function Space on a Commutative Semigroup
p. 816-824
Error Estimates for Schemes of the Projection-Difference Method for Quasilinear Hyperbolic Equations
p. 825-833
On the Relationship Between Hypergeometric Functions and Some Multivalued Functions
p. 834-837
On the Number of Algebraic Invariant Curves of Polynomial Vector Fields
p. 838-839
On the Fixed Point Principle for Matrix Partial Differential Systems of Fedorov–Riccati Type
p. 840-843
On the Cauchy Problem in the Four-Dimensional Space
p. 844-847
Construction of the Solution of an Ill-Posed Singularly Perturbed Problem for the Heat Equation with a Nonlinearity
p. 848-849
On the Seminar on Qualitative Theory of Differential Equations at Moscow State University
p. 850-860

Sommaire du Fascicule no. 7

The Moving Source Phantom in Geometric Optics of Inhomogeneous Media
p. 867-873
On Spectral Problems in Energy Spaces on Composite Manifolds with Singular Geometry of the Blocks: I
p. 874-886
A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation
p. 887-892
How to Single out Solutions Bounded at a Singular Point for Some Differential-Algebraic Systems
p. 893-897
On the Theory of Difference Schemes for Singularly Perturbed Equations
p. 898-907
A Study of Variable Step Iterative Methods for Variational Inequalities of the Second Kind
p. 908-919
Numerical Experiment in Hemodynamics
p. 920-935
Difference Schemes for Nonstationary Vector Problems
p. 936-943
Error Estimates in the Galerkin Method for an Abstract Second-Order Evolution Equation with Nonsmooth Right-Hand Side
p. 944-952
The Steepest Descent Method with an Adaptive Alternating-Triangular Preconditioner
p. 953-963
A Two-Sided Functional-Discrete Method for Second-Order Differential Equations with General Boundary Conditions
p. 964-977
A Criterion for Coefficient Stability
p. 978-984
An Algorithm for Solving a Phase Transition Problem in a Multicomponent System
p. 985-993
Two-Sided Approximation of Eigenvalues of Some Elliptic Operators
p. 994-998
Some Classes of Dirac Operators with Singular Potentials
p. 999-1001
Analytic Synthesis of Ordinary Linear Nonstationary Differential Equations Reducible in the Sense of Euler
p. 1002-1004

Sommaire du Fascicule no. 8

The Generalized Normal Form and Formal Equivalence of Systems of Differential Equations with Zero Approximation $(x_2^3,-x_1^3)$
p. 1011-1022
On the Simultaneous Instability of Exponential Exponents of Linear Differential Systems
p. 1023-1032
Lyapunov Stability and Orbital Stability of Dynamical Systems
p. 1033-1042
An Extension of the Representation Space of the Group Admitted by a System of Ordinary Differential Equations
p. 1043-1049
The Milne Problem for a Periodic Medium
p. 1050-1058
Lyapunov Stability of Measure Driven Impulsive Systems
p. 1059-1067
Semialgebraic Integrability of Algebraic Differential Equations
p. 1068-1075
Normal-Size Limit Cycles of Quadratic Systems with a Structurally Unstable Focus
p. 1076-1084
Transformation Operators and Boundary Value Problems
p. 1085-1095
On Spectral Problems in Energy Spaces on Composite Manifolds with Singular Geometry of the Blocks: II
p. 1096-1107
How to Approximate Solutions of Variational Inequalities with Monotone Mappings in a Banach Space If the Data Are Known Approximately
p. 1108-1117
The Homotopy Classification of Three- and Four-Dimensional Analogs of the Cauchy–Riemann System
p. 1118-1125
Analogs of Classical Boundary Value Problems for a Second-Order Differential Equation with Deviating Argument
p. 1126-1128
Exact Closed-Form Solutions of Some Nonlinear Differential Equations
p. 1129-1130
Potentiality Conditions for Partial Differential Equations with Deviating Arguments
p. 1131-1132
Integral Representations for a Second-Order System with a Supersingular Point
p. 1133-1136
A Remark on the Existence Interval of the Solution of the Cauchy Problem
p. 1137-1139
An Estimate of the Number of Periodic Solutions of the Abel Equation
p. 1140-1142
Seminar on Nonlinear Dynamics and Control Problems at Moscow State University
p. 1143-1148

Sommaire du Fascicule no. 9

An existence theorem for an inverse problem for a semilinear hyperbolic system
p. 1155-1165
A mathematical erythrocyte model based on weak solutions of integral equations
p. 1166-1175
A generalized jump problem for the Helmholtz equation outside cuts on the plane
p. 1176-1189
A complete generalization of the Wiener–Hopf method to convolution integral equations with integrable
p. 1190-1197
New existence theorems for Lyapunov–Schmidt integral equations
p. 1198-1207
A singular integral equation with the Cauchy kernel on a closed interval in a class of distributions
p. 1208-1218
Solvability and properties of solutions of convolution type integral equations with power-difference kernels
p. 1219-1224
Special versions of the subdomain method for integro-differential equations in the singular case
p. 1225-1233
Resonance excitation of the interior of an acoustically soft thick shell through a screened hole
p. 1234-1239
Application of the subdomain method to the approximate solution of singular integral equations on closed integration contours
p. 1240-1247
Numerical methods for solving integral equations for functions with double orthogonality
p. 1248-1255
Integral equations and sound propagation in a shallow sea
p. 1256-1270
On the approximate solution of weakly singular integro-differential equations of Volterra type
p. 1271-1279
Numerical schemes of discrete vortex type for a class of singular integral equations with closed contours
p. 1280-1289
The Riemann problem on a semicircle for a generalized Cauchy–Riemann system with a singular
p. 1290-1292

Sommaire du Fascicule no. 10

Periodic translation operators and quasiperiodic curves
p. 1299-1304
Duck trajectories in multidimensional singularly perturbed systems with a single fast variable
p. 1305-1313
A random attractor of a stochastically perturbed evolution inclusion
p. 1314-1318
A description of exponent sets of a solution of a Pfaffan linear system with trivial characteristic sets
p. 1319-1324
Time symmetry preserving perturbations of differential systems
p. 1325-1332
Exponential stability of periodic delay differential equations
p. 1333-1341
On some classes of solutions of two-dimensional multifrequency quasilinear differential systems
p. 1342-1347
Rotating structures in a parabolic functional-differential equation
p. 1348-1357
Contrast structures of variable type in quasilinear parabolic equations
p. 1358-1373
A boundary value problem for equations whose order degenerates along the perpendicular lines of change of type
p. 1374-1378
A modifed Frankl–Morawetz problem on a transonic flow past an airfoil
p. 1379-1384
Uniqueness of the solution of the Cauchy problem for some differential-difference parabolic equations
p. 1385-1389
Generalized solvability of parabolic systems with nonhomogeneous transmission conditions of nonideal contact type
p. 1390-1399
Nonexistence of nontrivial solutions for a class of boundary value problems
p. 1400-1404
A problem for a mixed-type equation of the second kind
p. 1405-1411
Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems
p. 1412-1416
On the spectrum of operators associated with uniformly well-posed problems
p. 1417-1418
A problem with nonlocal conditions on characteristics for the moisture transfer equation
p. 1419-1422
A boundary value problem with an involutive shift in the boundary condition
p. 1423-1425
Solvability of a nonlocal boundary value problem and the smoothness of the domain
p. 1426-1429
Well-posedness of the Cauchy problem for an inclusion
p. 1430-1433
Veniamin Petrovich Myasnikov
p. 1434-1435

Sommaire du Fascicule no. 11

Nikolai Nikolaevich Krasovskii (a tribute in honor of his 80th birthday)
p. 1443-1456
An algorithm for constructing a Lyapunov function in the synthesis of dynamic regulators of given order
p. 1457-1461
An approximation scheme for defining the Conley index of isolated critical points
p. 1462-1467
A stable fixed focus and its immunity zone in a second-order controlled dynamical system
p. 1468-1478
Some classification problems for control systems and the similarity problem for sets of square matrices
p. 1479-1485
The method of multiple maxima and optimality conditions for singular extremals
p. 1486-1493
Attainability problems under stochastic perturbations
p. 1494-1499
Rotor type singular points of nonautonomous systems of differential equations and their role in the generation of singular attractors of nonlinear autonomous systems
p. 1500-1514
The follower set in two-point optimization problems
p. 1515-1520
Coordinated equilibria and a technique for solving differential games
p. 1521-1531
Observability conditions for general linear systems
p. 1532-1539
Well-posedness of the inverse source problem for parabolic systems
p. 1540-1547
Optimal control of Sobolev type linear equations
p. 1548-1556
Relative stabilization of solutions of a degenerating parabolic equation with nonlinear lower-order terms
p. 1557-1563
Topological properties of attainability sets of linear systems
p. 1564-1566
Specific properties of jumps in singularly perturbed Cauchy problems
p. 1567-1569
Seminar on qualitative theory of differential equations at Moscow State University
p. 1570-1578
“Pontryagin Readings-XV” at Voronezh spring mathematical school “Modern methods in qualitative theory of boundary value problems”
p. 1579-1580

Sommaire du Fascicule no. 12

Stabilization of a system with a constant and a linear delay
p. 1587-1595
On categories and foundations of the theory of nonlinear control dynamical systems: III
p. 1596-1607
Asymptotic stability of a differential system with linear Coppel–Conti approximation
p. 1608-1614
A study of one-dimensional optimization models with infinite horizon
p. 1615-1628
Suppression of chaotic dynamics
p. 1629-1635
Attainability sets in cascade control systems
p. 1636-1644
On the construction of an asymptotic analog of a pencil of trajectories for a linear system with a single-impulse control
p. 1645-1657
Circular structures of conflict equilibria in dynamical systems
p. 1658-1664
Flatness of dynamically linearizable systems
p. 1665-1674
Superconvergence of solutions of multidimensional Fredholm integral equations
p. 1675-1681
Approximate solution of singular integro-differential equations by reduction over Faber–Laurent polynomials
p. 1682-1686
On some exact solutions of singular integral equations in the class of generalized functions and their numerical computation
p. 1687-1697
A 3D analog of problem $\mathrm M$ for a third-order hyperbolic equation
p. 1698-1700
On first integrals of a fourth-order equation
p. 1701-1704
On the construction of a bifurcation surface of existence of heteroclinic saddle-focus contours in the Lorenz system
p. 1705-1707
Solution of the Cauchy problem for the heat equation on the surface of a cone and a Riemann surface
p. 1708-1711