Geodesic

Sommaire du Fascicule no. 1

Nina Nikolaevna Subbotina (photo)
Nina Nikolaevna Subbotina
p. 5-7
Vladimir Nikolaevich Ushakov (photo)
Vladimir Nikolaevich Ushakov
p. 10-11
A discrete model of the heat exchange process in rotating regenerative air preheaters
p. 12-19
Control of a platform with oscillators under the action of dry friction
p. 20-26
Optimization of dynamics of a control system in the presence of risk factors
p. 27-42
Stability properties of the value function in an infinite horizon optimal control problem
p. 43-56
A two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems
p. 57-74
On the numerical solution of differential games for neutral-type linear systems
p. 75-87
On the representation of upper semicontinuous functions defined on infinite-dimensional normed spaces as lower envelopes of families of convex functions
p. 88-102
On extremal properties of the boundary points of reachable sets for control systems with integral constraints
p. 103-115
Approximation of sections of the set of trajectories for a control system with bounded control resources
p. 116-127
Asymptotics of the solution to the singular problem of optimal distributed control in a convex domain
p. 128-142
Construction of the solvability set in differential games with simple motions and nonconvex terminal set
p. 143-157
On the solution of a system of Hamilton-Jacobi equations of special form
p. 158-170
Morphological projector in the $L_0$ metric and the problem of localization of structural differences between images
p. 171-187
Bilinear optimal control problem of a discrete logging
p. 188-194
On a control problem for a linear system with measurements of a part of phase coordinates
p. 195-205
A nonlinear identification problem
p. 206-211
A multiple capture of an evader in linear recursive differential games
p. 212-218
Construction of strongly time-consistent subcores in differential games with prescribed duration
p. 219-227
Transfinite sequences in the method of programmed iterations
p. 228-240
Weak invariance of a cylindrical set with smooth boundary with respect to a control system
p. 241-250
A linear control problem under interference with a payoff depending on the modulus of a linear function
p. 251-261
External estimates for reachable sets of a control system with uncertainty and combined nonlinearity
p. 262-274
A discrete-continuous routing problem with precedence conditions
p. 275-292
Upper and lower resolving functions in dynamic game problems
p. 293-305
Stabilization of discrete time systems by reflection coefficients
p. 306-311

Sommaire du Fascicule no. 2

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Vladimir Vasil'evich Vasin
p. 5-9
High accuracy algorithms for approximation of discontinuity lines of a noisy function
p. 10-21
On threshold graphs and realizations of graphical partitions
p. 22-31
Analytic solutions of stationary complex convection describing a shear stress field of different signs
p. 32-41
The Yekaterinburg heritage of Arlen Mikhailovich Il'in
p. 42-66
Asymptotics of a solution to a singularly perturbed time-optimal control problem
p. 67-76
Asymptotics of the velocity potential of an ideal fluid flowing around a thin body
p. 77-93
Two-parameter asymptotics in a bisingular Cauchy problem for a parabolic equation
p. 94-103
Painleve II equation as a model of a resonant interaction of oscillators
p. 104-116
Autoresonance in a model of a terahertz wave generator
p. 117-132
Variational problems with unilateral pointwise functional constraints in variable domains
p. 133-150
On the polyhedral method of solving problems of control strategy synthesis in discrete-time systems with uncertainties and state constraints
p. 151-166
An analytic method for the embedding of the Euclidean and pseudo-Euclidean geometries
p. 167-181
On the asymptotics of a solution to a second-order elliptic equation with a small parameter and a piecewise smooth boundary function
p. 182-195
Calculation of thermal fields of massive bodies heated by a radial heat source in the three-dimensional case
p. 196-199
On the problem of the flow of an ideal gas around bodies
p. 200-209
On the approximate solution of an inverse boundary value problem by the method of finite-dimensional approximation of the regularized solution
p. 210-219
A bound for the remainder term in the asymptotic expansion of the elliptic sine containing the first three terms
p. 220-229
One approach to the comparison of error bounds at a point and on a set in the solution of ill-posed problems
p. 230-238
The generalized boundary function method for bisingular problems in a disk
p. 239-249
Asymptotics of a solution of a three-dimensional nonlinear wave equation near a butterfly catastrophe point
p. 250-265
On the nontrivial solvability of one class of nonlinear integral equations of the Urysohn type
p. 266-273
Perturbation of a waveguide by a narrow potential
p. 274-284
Stability iterations and an evasion problem with a constraint on the number of switchings
p. 285-302
Asymptotic expansion of a solution of a singularly perturbed optimal control problem in the space $\mathbb{R}^n$ with an integral convex performance index
p. 303-310
Integrability and invariant algebraic curves for a class of Kolmogorov systems
p. 311-318

Sommaire du Fascicule no. 3

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Estimates for best approximations of functions from the logarithmic smoothness class in the Lorentz space
p. 3-21
Three extremal problems in the Hardy and Bergman spaces of functions analytic in a disk
p. 22-32
Optimization methods for the sensitivity function with constraints
p. 33-42
Modified Bernstein function and a uniform approximation of some rational fractions by polynomials
p. 43-57
Aggregation equation with anisotropic diffusion
p. 58-73
An optimal algorithm for an outerplanar facility location problem with improved time complexity
p. 74-81
Control with a guide in the guarantee optimization problem under functional constraints on the disturbance
p. 82-94
On maximal antichain lattices of finite posets
p. 95-104
Contact resistance of a square contact
p. 105-113
A variant of the affine-scaling method for a cone programming problem on a second-order cone
p. 114-124
Power wight integrability for sums of moduli of blocks from trigonometric series
p. 125-133
Sample average approximation in the two-stage stochastic linear programming problem with quantile criterion
p. 134-143
The direct theorem of the theory of approximation of periodic functions with monotone Fourier coefficients in different metrics
p. 144-158
Approximation scheme for the problem of weighted 2-partitioning with a fixed center of one cluster
p. 159-170
Computational complexity for the problem of optimal intersections of straight line segments by disks
p. 171-181
On automorphisms of a distance-regular graph with intersection array {69,56,10;1,14,60}
p. 182-190
The connection between infinite-dimensional stochastic problems and problems for probabilistic characteristics
p. 191-205
Uniform approximation by perfect splines
p. 206-213
Regularization methods and issues of lexicographic correction for~convex programming problems with inconsistent constraints
p. 214-223
Convergence bounds for splines for three-point rational interpolants of continuous and continuously differentiable functions
p. 224-233
On the construction of regularizing algorithms for the correction of improper~convex programming problems
p. 234-243
Sparse trigonometric approximation of Besov classes of functions with small mixed smoothness
p. 244-252
Uniform approximation of the curvature of smooth planar curves with the use of partial sums of Fourier series
p. 253-256
On multiply monotone functions.
p. 257-271
Approximation of the measure of a convex compact set
p. 272-279
Solvability of the Generalized Traveling Salesman Problem in the class of quasi- and pseudopyramidal tours
p. 280-291
Uniform Lebesgue constants of local spline approximation
p. 292-299
Explicit expression for a hyperbolic limit cycles of a class of polynomial differential systems
p. 300-307

Sommaire du Fascicule no. 4

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Sergei Vladimirovich Matveev (on his 70th birthday)
p. 5-6
The volume of a hyperbolic tetrahedron with symmetry group $S_4$
p. 7-17
Classification of links of small complexity in a thickened torus
p. 18-31
Description of the unit group of the integral group ring of a cyclic group of order~$16$
p. 32-42
Knot groups and nilpotent approximability
p. 43-51
Finite simple groups with four conjugacy classes of maximal subgroups. I
p. 52-62
Simple arcs in plane curves and knot diagrams
p. 63-76
On the commutator subgroups of finite $2$-groups generated by involutions
p. 77-84
Brieskorn manifolds, generated Sieradski groups, and coverings of lens space
p. 85-97
On the structure of a finitary linear group
p. 98-104
Discrete operator Riccati equation in an optimal stabilization problem for a periodic linear system with aftereffect
p. 105-118
Automorphisms of an $AT4(4,4,2)$-graph and of the corresponding strongly regular graphs
p. 119-127
Automorphisms of a distance-regular graph with intersection array $\{75,64,18,1;1,6,64,75\}$
p. 128-135
On finite simple linear and unitary groups over fields of different characteristics with coinciding prime graphs.~I
p. 136-151
Steiner's problem in the Gromov--Hausdorff space: the case of finite metric spaces
p. 152-161
On the order of decrease of uniform moduli of smoothness for the classes of periodic functions~$H_{p}^{l}[\omega],\ l\in \mathbb N,\ 1\le p \infty$
p. 162-175
On a characterization of the Frattini subgroup of a finite solvable group
p. 176-180
Application of the altruistic and aggressive types of behavior in a two-person non-zero-sum positional differential game on the plane
p. 181-191
Symmetrical $2$-extensions of the $2$-dimensional grid. II
p. 192-211
Quazoids in knot theory
p. 212-221
The structure of the fixed point set of a reducible monotone subhomogeneous mapping
p. 222-231
Automorphisms of strongly regular graphs with parameters $(1305,440,115,165)$
p. 232-242
On the Oikawa and~Arakawa~theorems for graphs
p. 243-252
A metanilpotency criterion for a finite solvable group
p. 253-256
Virtual $3$-manifolds of complexity $1$ and~$2$
p. 257-264
Optimal result in a control problem with piecewise monotone dynamics
p. 265-280
On dendrites generated by polyhedral systems and their ramification points
p. 281-291
Preservation of the existence of coincidence points under some discrete transformations of a pair of mappings of metric spaces
p. 292-300
Attainable best guarantee for the accuracy of $k$-medians clustering in~$[0,1]$
p. 301-310
Approximation of space curves by polygonal lines in $L_p$
p. 311-318