Geodesic

Sommaire du Fascicule no. 1

Initial boundary value problem on the motion of a viscous heat-conducting liquid in a vertical pipe
p. 5-16
Solution of convection problem in a rotating tube by the Fourier method
p. 17-25
Construction of an exact solution of special type for the 3D problem of thermosolutal convection in two layered system
p. 26-34
Spectrum of one-dimensional eigenoscillations of two-phase layered composites
p. 35-47
Comparative analysis of the analytical and numerical solution of the problem of thermocapillary convection in a rectangular channel
p. 48-55
Mathematical modeling of the thin liquid layer runoff process based on generalized conditions at the interface: parametric analysis and numerical solution
p. 56-65
On special empirical processes of independence in presence of covariates
p. 66-75
Effective dielectric permeability of a medium with periodic inclusions
p. 76-86
SIRV-D optimal control model for COVID-19 propagation scenarios
p. 87-97
Recovering a local Lie group from structure constants
p. 98-109
Modelling of stationary flows of a liquid-gas system in an inclined channel subject to evaporation
p. 110-120
Common coupled fixed point theorems for a pair of $S_{b}$-metric spaces
p. 121-134
Explicit formula for sums related to the generalized Bernoulli numbers
p. 135-141
Applications of two summation theorems of Gosper for the ${}_5F_4$ hypergeometric series
p. 142-148

Sommaire du Fascicule no. 2

Summation of functions and polynomial solutions to a multidimensional difference equation
p. 153-161
The Cauchy problem for equation of elasticity theory
p. 162-175
Examples of computing power sums of roots of systems of equations
p. 176-182
Physical and technical fundamentals of the seismoelectric method of direct hydrocarbon prospecting in the arctic using automatic underwater vehicles
p. 183-193
On the ill-posed Cauchy problem for the polyharmonic heat equation
p. 194-203
Incomplete least squared regression function estimator based on wavelets
p. 204-215
Theoretical analysis for a system of nonlinear $\phi$-Hilfer fractional Volterra-Fredholm integro-differential equations
p. 216-229
Fantappi\`e $G$-transform of analytic functionals
p. 230-238
On multiple zeros of entire functions of finite order of growth
p. 239-244
On the Blaschke factors in polydisk
p. 245-252
Green's function on a parabolic analytic surface
p. 253-264
On maximal operators associated with a family of singular surfaces
p. 265-274
A note on the Diophantine equation $\left( 4^{q}-1\right) ^{u} +\left( 2^{q+1}\right) ^{v}=w^{2}$
p. 275-278

Sommaire du Fascicule no. 3

The Fredholm Navier--Stokes type equations for the de Rham complex over weighted H\"older spaces
p. 283-299
On the effect of delays in self-oscillating system with external influence
p. 300-307
Power comparisons of EDF goodness-of-fit tests
p. 308-317
Parametrizations of limit positions for the discriminant locus of a trinomial system
p. 318-329
On the calculation of the Poiseuille number in the annular region for non-isothermal gas flow
p. 330-339
Definition of lifetime due to wave-particle interactions for the pitch angle of 90 degrees
p. 340-347
On the sharp estimates for maximal operators
p. 348-356
Boubaker operational matrix method for fractional Emden--Fowler problem
p. 357-369
Identities related to homo-derivation on ideal in prime rings
p. 370-384
MD investigations of of heat flow throw interfaces in 1D systems
p. 385-396
Soft tripled coincidence fixed point theorems in soft fuzzy metric space
p. 397-407
Letter to Editorial Board

Sommaire du Fascicule no. 4

On generation of the groups $GL_n(\mathbb{Z})$ and $PGL_n(\mathbb{Z})$ by three involutions, two of which commute
p. 413-419
Analog of the Weierstrass theorem and the Blaschke product for $A(z)$-analytic functions
p. 420-430
Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right
p. 431-440
Creeping three-dimensional convective motion in a layer with velocity field of a special type
p. 441-456
Almost inner derivations of some Leibniz algebras
p. 457-474
Modeling of electric field impact on a cholesteric liquid crystal layer
p. 475-487
On the convergence exponent of the special integral of the tarry problem for a quadratic polynomial
p. 488-497
On a note on Ap\'ery-like series with an application
p. 498-505
Some new fixed point results in $\mathrm{b}$-metric space with rational generalized contractive condition
p. 506-518
Strongly algebraically closed MV-algebras
p. 519-527
A logarithmic barrier approach via majorant function for nonlinear programming
p. 528-539
Series of hypergeometric type and discriminants
p. 540-548

Sommaire du Fascicule no. 5

To the question of rigorous axiomatization of thermodynamics
p. 553-561
Drift of a free-floating body in a convective layer heated by radiation
p. 562-571
Mathematical modeling of cathodic zinc electroextraction processes
p. 572-582
Contact mappings of jet spaces
p. 583-590
Elasto-plastic twisting of a two-layer rod weakened by holes
p. 591-597
Green function of quantum particle moving in two-dimensional annular potential
p. 598-610
Effect of permittivity on the ionic boundary layer upon protonation of lithium niobate
p. 611-619
Criterion of global admissibility for logic $\mathrm{IPC}$
p. 620-627
Flow and heat transfer characteristics during the flow around tandem of circular cylinders
p. 628-638
Two heuristic algorithms for RCPSP with NPV criterion
p. 639-650
Investigation of the effect of air admission on the vortex structure of the flow in a tangential chamber
p. 651-660
An inverse problem for pseudoparabolic equation with the mixed boundary condition
p. 661-672
Uniform estimates for Mittag--Leffler functions with smooth phase
p. 673-680
Preorder on the set of analytic functions
p. 681-689
On the solvability of Burgers-type equation with special type of non-linearity
p. 690-699

Sommaire du Fascicule no. 6

Linear autotopism subgroups of semifield projective planes
p. 705-719
A multifaceted approach to forming mathematical digital competency of future engineers in teaching applied mathematics
p. 720-731
On the closedness of carpets of additive subgroups associated with a Chevalley group over a commutative ring
p. 732-737
Mellin transforms for rational functions with quasi-elliptic denominators
p. 738-750
Manifestation of slow dynamics in multilayer nanostructures with different thicknesses of magnetic films
p. 751-757
On the non-standard interpolations in $\mathbb{C}^n$ and combinatorial coefficients for Weil polyhedra
p. 758-772
First-principles calculations of the exchange coupling constants for an iron film
p. 773-779
Lang--Firsov transformation in the generalized tight-binding method
p. 780-785
Study of trapped magnetic field relaxation in a cylindrical micron-sized HTS
p. 786-794
Changes of the Fermi surface topology in the three-orbital model for iron pnictides with the spin-orbit coupling
p. 795-803
Study of magnetic anisotropy of cobalt films separated by a copper layer depending on the thickness of the layers
p. 804-810
Symmetry analysis of radial profiles of magnetic skyrmions
p. 811-819
Fermion parity of phases supporting multiple Majorana modes in a superconducting nanowire
p. 820-829
Scaling behavior of complex low-dimensional spin systems
p. 830-837
Magnetization and flux capture in a superconducting ring made of high-T${}_{c }$2G tape
p. 838-844