Geodesic

Sommaire du Fascicule no. 1

Properties of the value function in optimal control problems with infinite horizon
p. 3-14
On the spectral set of a~linear discrete system with stable Lyapunov exponents
p. 15-26
Altruistic (Berge) equilibrium in the model of Bertrand duopoly
p. 27-45
Multiple capture of rigidly coordinated evaders
p. 46-57
Normal forms of the equations of thermodynamics
p. 58-67
Weak asymptotic stability of control systems with impulsive actions
p. 68-78
About asymptotical properties of solutions of difference equations with random parameters
p. 79-86
Comparison of fuzzy numbers in decision-making problems
p. 87-94
$\alpha$-sets in finite dimensional Euclidean spaces and their properties
p. 95-120
Routing of displacements with dynamic constraints: ``bottleneck problem''
p. 121-140
User interface development to manage the process of handwritten mathematical formula recognition
p. 141-152

Sommaire du Fascicule no. 2

On the classification of singularities that are equivariant simple with respect to representations of cyclic groups
p. 155-159
Independence of interpolation error estimates by polynomials of $2k+1$ degree on angles in a triangle
p. 160-168
An example of a linear discrete system with unstable Lyapunov exponents
p. 169-176
Interactive realizations of logical formulas
p. 177-193
Boundary conditions and heat resistance at the moving solid-liquid interface
p. 194-206
On asymptotic behaviour of solutions with infinite derivative for regular second-order Emden--Fowler type differential equations with negative potential
p. 207-214
Asymptotic behaviour of solutions to nonlinear differential equations with exponentially equivalent right-hand sides
p. 215-220
On the sufficient condition of global scalarizability of linear control systems with locally integrable coefficients
p. 221-230
On non-extensible solutions to second-order Emden--Fowler type differential equations with negative potential
p. 231-238
Electron scattering in a carbon nanotube
p. 239-244
Traveling waves in a profile of phase field: exact analytical solutions of a hyperbolic Allen--Cahn equation
p. 245-257
Algorithms of optimal set covering on the planar $\mathbb{R}^2 $
p. 258-270
The programmed iterations method in a game problem of guidance
p. 271-282
Nucleation and growth of a new phase at the intermediate stage of phase transitions in metastable solutions and melts
p. 283-296

Sommaire du Fascicule no. 3

Influence of convective flow on the growth of pure and alloyed dendrite
p. 299-311
Embedding of phenomenologically symmetric geometries of two sets of the rank $(N,2)$ into phenomenologically symmetric geometries of two sets of the rank~$(N+1,2)$
p. 312-323
On the limit distribution of a~number of runs in polynomial sequence controlled by Markov chain
p. 324-335
Determination of the texture of polycrystalline materials using an algorithm of object-vector representation of reflection planes and visualization of the results in Rodrigues space
p. 336-344
Some representations of free ultrafilters
p. 345-365
On the Riemann--Stieltjes double integral
p. 366-378
Analytical solution of the problem on inclined viscous flow around a~parabolic dendrite within the framework of Oseen's approximation
p. 379-387
Formation of the microstructure of rapidly solidified alloys for the system~$\mathrm{Sn}$--$\mathrm{Bi}$
p. 388-400
The problem of boundary conditions for the shallow water equations
p. 401-417
On the periodic motions of a~Hamiltonian system in the neighborhood of unstable equilibrium in the presence of a~double three-order resonance
p. 418-438
On the unsteadiness time of primary dendritic growth
p. 439-444
The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library
p. 445-450

Sommaire du Fascicule no. 4

Noise-induced intermittency and transition to chaos in the neuron Rulkov model
p. 453-462
Finite spectrum assignment problem in linear systems with state delay by static output feedback
p. 463-473
The regularized iterative Pontryagin maximum principle in optimal control. I.~Optimization of a lumped system
p. 474-489
Asymptotically stable sets of control systems with impulse actions
p. 490-502
Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind
p. 503-514
The basic mathematical model for the description of regulatory processes of protein biosynthesis
p. 515-524
An approach to analysis of the set of truth: unlocking of predicate
p. 525-534
The quasi-levels of the Dirac two-dimensional difference operator in a strip
p. 535-542
On the solution of control problems with fixed terminal time
p. 543-564
The Bellmann insertions in route problems with constraints and complicated cost functions.~II
p. 565-578
One specification of Steffensen's method for solving nonlinear operator equations
p. 579-590
Stability of gap soliton complexes in the nonlinear Schr\"odinger equation with periodic potential and repulsive nonlinearity
p. 591-602