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2018, Issue 3(23)  


ANALYSIS, DIFFERENTIAL EQUATIONS AND OPTIMUM CONTROL
The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
A. H. Attaev
14
A boundary value problem with displacement for a model equation of a parabolic-hyperbolic type of the third order
Zh. A. Balkizov
19
Approximation of functions in generalized Holder spaces and their modifications
M. R. Golava
27
On the solving of the A. A. Dezin problem analogue for a second-order mixed-type equation by the Green’s function method
R. A. Kirzhinov
36

FRACTIONAL CALCULUS AND ITS APPLICATION
To the question of solvability of ordinary differential equations of fractional order
F.T. Bogatyreva
42
Cauchy problem for ordinary differential equation with discretely distributed fractional differentiation operator
L. Kh. Gadzova
48
A problem in the half-strip for higher order parabolic equation with time fractional Riemann-Liouville derivative
L. L. Karasheva
57
The Tricomi problem for a third order hyperbolic equation degenerating inside the domain
R. Kh. Makaova
67
Cauchy problem for the system of equations with partial derivatives of fractional order
M. O. Mamchuev
76
The neumann problem for the generalized Laplace equation
O. Kh. Masaeva
83
Darboux problem for fractional telegraph equation
R. A. Pshibikhova
91

MATHEMATICAL MODELING OF DYNAMIC SYSTEMS
Calculation the maximum Lyapunov exponent for the oscillatory system of Duffing with a degree memory
V. A. Kim, R. I. Parovik
98
The research on stability of tendencies of climate elements in the highlands of Karachay-Cherkessia from 1959 to 2017
E. A. Korchagina
106
Investigation of regular and chaotic modes of the FitzHugh-Nagumo fractal oscillator
O. D. Lipko
116
On one model of population dynamics with regard to sex structure
F. M. Losanova, R. O. Kenetova
124
Algorithms of digital processing of an earth near-surface electric field intensity using a Kalman filter
I. Kh. Mashukov, V. A. Shapovalov, A. A. Adzhieva
131
On the computing of the equilibrium volume of a small sessile drop
A. A. Sokurov
140
The Cauchy problem for the Riccati equation with variable power memory and non-constant coeffcients
D. A. Tvyordyj
148

NUMERICAL METHODS OF SOLVING THE PROBLEMS OF MATHEMATICAL PHYSICS
A local one-dimensional scheme for parabolic equation of general form, describing microphysical processes in convective clouds
B. A. Ashabokov, I. D. Taisaev, M. H. Shhanukov-Lafishev
158
Methodology of the numerical solution equations system of three-dimensional model convective cloud
V. A. Shapovalov
168

THEORETICAL AND APPLIED INFORMATICS
Application of a logical neural network to the classification problem
R. A. Zhilov
180
On the optimization of the constructive method of training neural networks
M. A. Kazakov
184
Application of continuous logic for determining emission limits
E. V. Shmatova
190
Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
 
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