Geodesic

Sommaire du Fascicule no. 1

This issue contains of the proceedings of an international conference dedicated to the 115th anniversary of the birth of Academician Sergey
p. 5-7
Numerical schemes of higher approximation orders for dynamic problems of elastoviscoplastic media
p. 8-17
Chebyshev polynomials with zeros outside the open arc segment
p. 18-26
Mathematical modelling of three-dimensional stress-strain state of homogeneous and composite cylindrical axisymmetric shells
p. 27-37
Study of new composite materials based on epoxy resin with photoluminescence effect
p. 38-47
A note on two general reduction formulas for the Srivastava--Daoust double hypergeometric functions
p. 48-54
Reduction of the Cosserat-type nonlinear equations to the system of Godunov's form
p. 55-64
Modelling of residual stresses and distortions of the wall on a substrate built by wire-arc surfacing
p. 75-90
Specific damping capacity of layered structures with a layer of dissipative metamaterial under quasi-static and dynamic impacts
p. 91-96
Influence of nanomodifying additives and strengthening phase on the structure and properties of laser coating of porous titanium
p. 97-105
Current state and development of the theory of curing high-energy composite polymer materials
p. 106-114
Three-dimensional simulation of heat and moisture transfer in the human bronchial tree
p. 136-145

Sommaire du Fascicule no. 2

Optimal control for an elastic frictional contact problem
p. 151-161
Dual band HTSC power limiter
p. 162-168
Difference equations and Hadamard composition of multiple power series
p. 169-174
On hypergeometric functions of two variables of complexity one
p. 175-188
Hysteresis effects in the critical behavior of Heisenberg thin films in an external oscillating field
p. 189-194
Thermocapillary convection of immiscible liquid in a three-dimensional layer at low Marangoni numbers
p. 195-206
On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions
p. 207-219
Further remarks on the explicit generating function expression of the invariant measure of critical Galton-Watson branching systems
p. 220-228
Approximate solution to a model of the far momentumless axisymmetric turbulent wake
p. 229-237
A study of the scaling behavior of the two-dimensional Ising model by methods of machine learning
p. 238-245
Analysis of the electric current distribution in a three-layer conductive structure
p. 246-256
Cylindrically symmetric generalized ghost pilgrim dark energy cosmological univers
p. 257-265
On a new class of integrals involving generalized hypergeometric functions
p. 266-271
Analysis of the unstable state of a nematic liquid crystalbased on a simplified dynamic model
p. 272-281
Coincidence and common fixed point theorems for hybrid mappings via $C$-class function
p. 282-290

Sommaire du Fascicule no. 3

Some properties of the automorphisms of the classical domain of the first type in the space $\mathbb{C}\left[ m\times n \right]$
p. 295-303
On the $p$-fold well-posedness of higher order abstract Cauchy problem
p. 304-317
The weighted Hardy operators and quasi-monotone functions
p. 318-325
On the real roots of systems of transcendental equations
p. 326-333
On periodic bilinear threshold $GARCH$ models
p. 334-346
Admissible inference rules of temporal intransitive logic with the operator "tomorrow"
p. 347-354
Equilibrium problem for a Kirchhoff--Love plate contacting by the side edge and the bottom boundary
p. 355-364
On the collection formulas for positive words
p. 365-377
On the bipolar classification of endomorphisms of a groupoid
p. 378-387
Simulation of the process of frost formation on the surface of the heat exchanger fin
p. 388-397
On the stability of the solutions of inverse problems for elliptic equations
p. 398-407
Collatz hypothesis and Planck's black body radiation
p. 408-414
The impact of inclination angle and thermal load on flow patterns in a bilayer system taking into account the mass transfer
p. 415-426
Finding power sums of zeros of an entire function of finite order of growth
p. 427-430

Sommaire du Fascicule no. 4

A classical limit for the Dirac equation in the context of Magueijo--Smolin model of the doubly special relativity using the Ehrenfest's theorem
p. 435-447
On cyclic interpolative Kannan-Meir-Keeler type contraction in metric spaces
p. 448-454
On the boundedness of maximal operators associated with singular surfaces
p. 455-463
Integral operator of potential type for infinitely differentiable functions
p. 464-469
On property $M(4)$ of the graph $K^n_2+O_m$
p. 470-477
Influence of boundary conditions on the critical parameters of reactive flow ignition in a channelwith heat recuperation
p. 478-487
Oscillatory integrals for Mittag--Leffler functions
p. 488-496
Temperature resistance of silver and iron nanoparticles
p. 497-505
Some classes of sets sufficient for holomorphic continuation of integrable functions
p. 506-512
On the grothendieck duality for the space of holomorphic Sobolev functions
p. 513-518
Maximal functions and the Dirichlet problem in the class of $m$-convex functions
p. 519-527
Research of equations of a viscous inhomogeneous fluid in a Hele--Shaw cell by group analysis method
p. 528-536
An application of the plane curve's standard basis to a certain class of problems from classical mechanics
p. 537-543
NEXAFS and XPS spectra of Ьn doped bismuth magnesium tantalate pyrochlores
p. 544-553

Sommaire du Fascicule no. 5

Conversion of Cr(III) and Co(III) during the synthesis of Co/Cr codoped bismuth niobate pyrochlore according to NEXAFS data
p. 559-569
Symmetries of linear and nonlinear partial differential equations
p. 570-574
Multivalued $\Delta$-symmetric covariant results in bipolar metric spaces
p. 575-585
On calculation of bending of a thin orthotropic plate using Legendre and Chebyshev polynomials of the first kind
p. 586-598
On generalized Voigt function and its associated properties
p. 599-608
On a new identity for double sum related to Bernoulli numbers
p. 609-612
The Dirichlet problem in the class of $\mathrm{sh_m}$-functions on a Stein manifold $X$
p. 613-621
Computer modeling of temperature fields in the soil and the bearing capacity of pile foundations of buildings on permafrost
p. 622-631
Recovering surface fluxes on the boundary of the domain from pointwise measurements
p. 632-643
Nonlinear effect for anisotropy of charged particle pitch angle distribution at geostationary orbit
p. 644-653
Secondary destruction of organic coal-water slurry drops at different temperatures in a gas flow
p. 654-664
Axisymmetric ideal fluid flows effectively not being tied to vortex zones
p. 665-678
Interval multi-agent logic with reliability operator
p. 679-683
To the question of the closure of the carpet
p. 684-688

Sommaire du Fascicule no. 6

Generation of the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ by three involutions
p. 693-697
$\phi$-fixed point results in $b$-metric spaces with $wt$-distance
p. 698-709
Univalence of some integral operators involving Rabotnov fractional exponential function
p. 710-720
Algebraic subgroups of the complex torus
p. 721-731
Resonance properties of the Y$_{0.5}$Sr$_{0.5}$Cr$_{0.5}$Mn$_{0.5}$O$_3$ polycrystal
p. 732-742
Aptamer-based microfluidic device for isolation of circulating tumor cells
p. 743-753
Analysis of the effect of pH on the stability and optical spectra of Au nanoparticles linked by conductive BPE molecule
p. 754-760
Electrochemical aptasensor for detection of lung cancer tumor markers in blood plasma
p. 761-768
Magnetic particles as a carrier to select aptamer for survivin (BIRC5), a low molecular weight protein tumor marker
p. 769-775
Optimization of automatic synthesis of benzoxazole phosphoramidate oligonucleotides
p. 776-782
SAXS structure studies of the aptamer to the oncolytic virus VV-GMCSF-Lact
p. 783-790
Design of aptamer sandwich pairs for colorimetric detection of TNFа, Interleukin-17a and Dickkopf-1 proteins associated with ankylosing spondylitis
p. 791-797
Diagnostics of \textit{Escherichia coli} using Fabry--Perot interference in silicon nanostructures of various morphologies
p. 798-807
Structure determination of the Pb$^{2+}$-specific GT aptamer using SAXS and molecular modeling methods
p. 808-816
Verification of a numerical method for modeling two-phase flows of immiscible liquids with the transfer of modifying additives in three-dimensional digital core models
p. 817-828