Geodesic

Sommaire du Fascicule no. 1

Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind
p. 7-35
On covariant non-constancy of distortion and inversed distortion tensors
p. 36-47
Modeling the process of equilibrium crack growth in a composite specimen from the standpoints of the postcritical deformation mechanics
p. 48-61
Modelling one-dimensional elastic diffusion processes in an orthotropic solid cylinder under unsteady volumetric perturbations
p. 62-78
Numerical simulation of the interaction of a shock wave with a permeable deformable granulated layer
p. 79-92
An application of Mueller's method for determining eigenfrequencies of vibrations of viscoelastic bodies with frequency-dependent characteristics of a material
p. 93-118
Relaxation of residual stresses in a surface-hardened rotating cylinder under creep conditions
p. 119-139
The use of pseudoresiduals in the study of convergence of unstable difference boundary value problems for linear nonhomogeneous ordinary second-order differential equations
p. 140-178
On a new Lagrangian view on the evolution of vorticity in spatial flows
p. 179-189
Poiseuille-type flow in a channel with permeable walls
p. 190-201

Sommaire du Fascicule no. 2

On the $60^{\rm th}$ anniversary of Prof. Yuri N. Radayev
p. 207-221
Convergence of approximate solutions by heat kernel for transport-diffusion equation in a half-plane
p. 222-258
Dezin problem analog for a parabolic-hyperbolic type equation with periodicity condition
p. 259-272
An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator
p. 273-292
Orientation nature of the damage-memory effect under triaxial cyclic nonproportional compression of a sandstone
p. 293-310
Implicit iterative algorithm for solving regularized total least squares problems
p. 311-321
The characteristic Cauchy problem of standard form for describing the outflow of a polytropic gas into vacuum from an obligue wall
p. 322-338
Evaluation of influence of turbulence models on the vortex formation processes modeling in wind power
p. 339-354
Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain
p. 355-367
Periodic solutions for an impulsive system of integro-differential equations with maxima
p. 368-379
A problem with nonlocal conditions for a one-dimensional parabolic equation
p. 380-395

Sommaire du Fascicule no. 3

On a $q$-analogue of the Sturm–Liouville operator with discontinuity conditions
p. 407-418
Uniform optimization of controlled systems with distributed parameters
p. 419-445
Questions of the existence and uniqueness of the solution of one class of nonlinear integral equations on the whole line
p. 446-479
Gadolin's problem on the assembly of a two-layer shaft by a shrink fit with a test of the connection for separation
p. 480-499
Prediction of individual deformation characteristics of structural elements by a “leader” product
p. 500-519
Mathematical modeling of the effect of spacers on mass transfer in electromembrane systems
p. 520-543
General principle of maximum pressure in stationary flows of inviscid gas
p. 544-555
The hp-version of the least-squares collocation method with integral collocation for solving a biharmonic equation
p. 556-572
Probabilistic models for the analysis of inverse extremal problems in combinatorics
p. 573-591
On the theory of fourth-rank hemitropic tensors in three-dimensional Euclidean spaces
p. 592-602

Sommaire du Fascicule no. 4

Boundary value problems for Sobolev type equations of fractional order with memory effect
p. 607-629
An analogue of the Tricomi problem for a mixed type of quasilinear equation with two lines of degeneracy
p. 630-649
Vibrations of plate with boundary “hinged attachment” conditions
p. 650-671
An initial-boundary problem for a hyperbolic equation with three lines of degenerating of the second kind
p. 672-693
Numerical analysis of nonlinear vibrations of a plate on a viscoelastic foundation under the action of a moving oscillating load based on models with fractional derivatives
p. 694-714
Creep and long-term fracture of a narrow rectangular membrane inside a rigid low matrix with proportional dependence on the transverse pressure on time
p. 715-737
Comparison of the orbital elements of major planets, the Moon and the Sun using various mathematical models on the time interval with 1600 to 2200
p. 738-763
Solution of the Dorodnitsin–Ladyzhensky problem
p. 764-776
The non-uniaxial creep under complex loading
p. 777-788
Mathematical prediction of the probability of particle collisions during detonation spraying
p. 789-801