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 Vall\'ee 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
L\'{e}vy d'Alambertians and their application in the quantum theory
p. 241-258
Description of radiative decays of V→Pγ∗ in different forms of Poincar\'e-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 Δ1 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 ``L\'{e}vy 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)''