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Вестник КазНУ. Серия математика, механика, информатика
Scopus
ISSN 1563-0277 · Al-Farabi Kazakh National University · 285 artikel di indeks
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Artikel Jurnal
Generalized formula for estimating the oscillation frequency response of a cantilever bar with point masses
This paper presents a study of natural oscillations of a cantilever bar with five point masses with variable geometric and stiffness parameters (distances between locations of the masses, coefficients of variability of the bending stiffness of the bar sections). Using the exact method of forces based on…
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Artikel Jurnal
Evolution equations of multi-planet systems with variable masses
In celestial mechanics and astrodynamics, the study of the dynamical evolution of exoplanetary systems is the relevant topics. For today more than 3,000 exoplanetary systems are known. In this paper, we study the dynamic evolution of extrasolar systems, when the leading factor of evolution is the…
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Secular perturbations of the translational-rotational motion in a nonstationary three-body problem
A non-stationary three-body problem with axisymmetric dynamic structure, shape, and variable compression is considered. The Newtonian interaction force is characterized by an approximate expression of the force function accurate to the second harmonic. The masses of bodies change isotropically at…
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Initial-boundary value problem for the time-fractional degenerate diffusion equation
In this paper the initial-boundary value problems for the one-dimensional linear time-fractional diffusion equations with the time-fractional derivative ∂ α t of order α ∈ (0, 1) in the variable t and time-degenerate diffusive coefficients t β with β ≥ 1 − α are studied. The solutions of…
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Artikel Jurnal
Synthesis of the transforming mechanism of the rocking machine
This article discusses the synthesis of a six-link transforming mechanism of a rocking machine.First, the problem of synthesizing a four-link articulated-lever mechanism for reproducing a verticalline was solved. For this purpose, the problem of synthesizing a rectilinear-guiding mechanism ofthe…
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Finite difference method for numerical solution of the initial and boundary value problem for boltzmann’s sixmoment system of equations
Boltzmann’s one-dimensional non-linear non-stationary moment system of equations in the third approximation is presented, in which the first, third and fourth equations corresponds to the laws of conservation of mass, momentum and energy, respectively. This system contains six equations and…
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NONLINEAR VIBRATIONS OF THE "ROTOR – JOURNAL BEARINGS" SYSTEM
The equations of motion of a rotor system mounted on journal bearings with a non-linear characteristic are solved by high-precision analytical methods. A new technique has been developed for solving nonlinear differential equations of motion of rotor systems mounted on journal bearings, taking into…
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STUDY OF BOREHOLE HEAT EXCHANGER HEAT TRANSFER ENHANCEMENT PARAMETERS
This paper discusses the study of parameters for improving the heat transfer of a borehole heat exchanger for a ground source heat pump application. The study of efficiency parameters was carried out based on an experimental prototype of a ground source heat pump developed by the authors. A…
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Multi-Agent Learning for the Inverse Kinematics of a Robotic Arm
This paper presents a solution to the inverse kinematics problem for robotic manipulator based on the Adaptive Multi-Agent System (AMAS) approach. In this research, multi-agent system is in charge of controlling a robot arm with four degrees of freedom (DOF) and two motorized wheels, giving…
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Artikel Jurnal
On quasi-identities of finite modular lattices
In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities. The problem "Which finite lattices have finite bases of…
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Artikel Jurnal
MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing orders in (0, 1) and positive constant…
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Blow up of Solution for a Nonlinear Viscoelastic Problem with Internal Damping and Logarithmic Source Term
This paper is concerned with blow up of weak solutions of the following nonlinear viscoelastic problem with internal damping and logarithmic source term |ut|ρutt + M(∥u∥2)(-∆u) - ∆utt + Z0t g(t - s)∆u(s)ds + ut = u|u|p R-2 ln |u|k R with Dirichlet boundary initial conditions in a bounded domain Ω ⊂…
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On a boundary value problem for a Boussinesq-type equation in a triangle
Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory of monotone operators. In this article, we…
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MODIFICATION OF THE PARAMETRIZATION METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR LOADED DIFFERENTIAL EPCAG E. Bakirova
In this paper, modification of Dzhumabaev parameterization method is developed to a boundary value problem for systems of loaded differential equations with piecewise constant argument of generalized type (EPCAG). The method is based on reducing the considering problem to an equivalent multi-point…
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VAN DER CORPUT LEMMA WITH BESSEL FUNCTIONS
In this article, we study analogues of the van der Corput lemmas [19] involving Bessel functions. In harmonic analysis, one of the most important estimates is the van der Corput lemma, which is an estimate of the oscillatory integrals. This estimate was first obtained by the Dutch mathematician…
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ON THE SCHWARZ PROBLEM FOR THE MOISIL–TEODORESCU SYSTEM IN A SPHERICAL LAYER AND IN THE INTERIOR OF A TORUS
Doubly connected regions play a significant role in fluid mechanics. For example, the flow created by a long solid cylinder moving in the direction of the normal to its axis occurs precisely in a doubly connected region.In this paper, well-posed problems for the Moisil--Teodorescu system are…
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On bounded solutions of differential systems
The question of the existence of bounded solutions on an infinite interval of a linear inhomogeneous system of ordinary differential equations in a finite-dimensional space is considered. The study of bounded solutions of systems of ordinary differential equations is one of the most important…
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PHYSICOMATHEMATICAL MODEL OF CALCULATING CONTINUOUS BEAMS WITH ELASTIC YIELDING SUPPORTS
In this work there has been studied the rod system operation dependence on the action ofexternal force effects. The system presents a multi-span continuous beam with elastic yieldingsupports. To identify the stress-strain state of the object under study, a precise analytical methodof forces is used…
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Integration of the LabVIEW 2019 development tool in working with microcontrollers
While connecting various sensors to microcontrollers, there are problems of their further processing: analysis, data visualization, transmission and storage on remote media, etc. This usually requires additional connection to microcontrollers of modules with the necessary functions. The way to use…
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Artikel Jurnal
A machine learning model based on heterogeneous data
Big data is widely used in many areas of business. The information between organizations is systematically reproduced and processed by data, and the collected data differs significantly in attributes. By composing heterogeneous data sets, they complement each other, therefore, data exchange between…