Geodesic

Sommaire du Fascicule no. 1

On the completeness of a pair of biorthogonally conjugated systems of functions
p. 7-18
On the Dirichlet problem for an elliptic equation
p. 19-43
On solutions of elliptic equations with nonpower nonlinearities in unbounded domains
p. 44-62
The multiple interpolation de La Vallée Poussin problem
p. 63-77
Nonlocal problem for partial differential equations of fractional order
p. 78-86
Ultrametric diffusion in a strong centrally symmetric
p. 87-104
Bigravity in Hamiltonian formalism
p. 105-116
Contractions on ranks and quaternion types in Clifford algebras
p. 117-135
Inverse problem for a nonlinear partial differential equation of the eighth order
p. 136-154
On the inner turbulence paradigm
p. 155-185
Hyperbolic theories and problems of continuum mechanics
p. 186-202

Sommaire du Fascicule no. 2

Entanglement of two qubits interacting with one-mode quantum field
p. 205-220
The quantum transitions probability as paths-integral in energy states space
p. 221-240
Lévy d'Alambertians and their application in the quantum theory
p. 241-258
Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
p. 259-269
Hyperfine structure of muonic lithium ions
p. 270-282
De la Vallee Poussin problem in the kernel of the convolution operator on the half-plane
p. 283-292
Scattering of vortices in Abelian Higgs models on compact Riemann surfaces
p. 293-310
Fluctuations of a beam with clamped ends
p. 311-324
On frame indifferent Lagrangians of micropolar thermoelastic continuum
p. 325-340
Overall stability of compressed compound bars in variable cross section
p. 341-357
Mixed-mode loading of the structural elements with defect
p. 358-381
Mathematical models of nonlinear longitudinal-cross oscillations of object with moving borders
p. 382-397
Orthogonal Franklin system and orthogonal system of finite functions in numerical methods of boundary problems solving
p. 398-404

Sommaire du Fascicule no. 3

Oleg Igorevich Marichev (On the Occasion of His 70th Birthday)
p. 407-414
The Ising Model with Long-Range Interactions
p. 415-424
Gauge Group Contraction of Electroweak Model and its Natural Energy Limits
p. 425-440
$D$-meson production at Large Hadron Collider in the Regge limit of QCD
p. 441-461
The complete solution of the Yang-Mills equations for centrally symmetric metric
p. 462-473
Hyperfine structure of $S$-states of muonic deuterium
p. 474-488
Discrete and continuous cases for the problem of propagating waves for inhomogeneous medium with memory
p. 489-503
Residual stresses relaxation in surface-hardened half-space under creep conditions
p. 504-522
Solution of 3D heat conduction equations using the discontinuous Galerkin method on unstructured grids
p. 523-533
Mathematical foundations of epistemology based on experiments
p. 534-558
Convergence of the matrix method of numerical integration of the boundary value problems
p. 559-577
Method of additional boundary conditions in the problem of heat transfer
p. 578-600

Sommaire du Fascicule no. 4

Boundary value problems for matrix Euler–Poisson–Darboux equation with data on a characteristic
p. 603-612
On the solution of the convolution equation with a sum-difference kernel
p. 613-623
The oscillator's model with broken symmetry
p. 624-633
The Dirichlet problem for mixed type equation with two lines of degeneracy in a rectangular area
p. 634-649
The width of the Higgs boson decay into two photons in framework
p. 650-657
On the uniqueness of kernel determination in the integro-differential equation of parabolic type
p. 658-666
An inverse problem for two-dimensional equations of finding the thermal conductivity of the initial distribution
p. 667-679
On a class of vector fields
p. 680-696
A similar for $\Delta_1$ problem for the second-order hyperbolic equation in the 3D Euclidean space
p. 697-709
On the usage of special functions of two variables for studying of orthogonal polynomials of two variables
p. 710-721
Fundamental solution of the model equation of anomalous diffusion of fractional order
p. 722-735
An inverse problem for a nonlinear Fredholm
p. 736-749
An aeroelastic stability of the circular cylindrical shells containing a flowing fluid
p. 750-767
Mathematical modeling of deformation of reinforced femur during prolonged static loads
p. 768-784
Tooling software for development and execution support of scientific computing applications in cluster systems
p. 785-798
Supplement to the article “Lévy d'Alambertians and their application in the quantum theory” by B. O. Volkov
Erratums to the article “Oleg Igorevich Marichev (On the Occasion of His 70th Birthday)”