Search Results - "Kosov, A"
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On Analogues of the Hess Case for a Gyrostat under the Action of the Moment of Gyroscopic and Circular Forces
Published in Mechanics of solids (01-12-2022)“…The article considers the equations of motion of a gyrostat around a fixed point affected by the moment of potential, gyroscopic and circular forces. Six…”
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On Analogs of the Bobylev–Steklov Case for a Gyrostat under the Action of a Moment of Gyroscopic Forces
Published in Mechanics of solids (01-12-2022)“…Equations of motion of a gyrostat around a fixed point under the action of a moment of gyroscopic forces are studied. Analogs of the Bobylev–Steklov case are…”
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3
Reduction Method and New Exact Solutions of the Multidimensional Nonlinear Heat Equation
Published in Differential equations (01-02-2022)“…A nonlinear multidimensional heat equation with a power-law coefficient is studied. It is proposed to construct its exact solutions by the multidimensional…”
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On Exact Solutions of a Multidimensional System of Elliptic Equations with Power-Law Nonlinearities
Published in Differential equations (01-12-2023)“…Equations and systems of elliptic type with power-law nonlinearities are considered. Such equations are found in modeling distributed robotic formations, as…”
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Solid Waste Incineration Furnace with Catalytic Neutralization of Combustion Products
Published in Chemical and petroleum engineering (01-09-2023)“…The design and operation of a furnace for the incineration of solid industrial and household waste are described. A peculiarity of the furnace is the…”
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On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat
Published in Journal of applied and industrial mathematics (01-09-2023)“…The equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary solutions are found on the invariant set of the zero level of the area…”
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On a Nonlinear Second-Order Ordinary Differential Equation
Published in Differential equations (2023)“…We consider a nonlinear second-order ordinary differential equation of a special form whose particular case arises when constructing exact solutions of the…”
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8
New Exact Solutions of the Diffusion Equation with Power Nonlinearity
Published in Siberian mathematical journal (2022)“…We consider the multidimensional nonlinear diffusion equation with a power coefficient. Using some multidimensional quadratic ansatz, we seek for generalized…”
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Exact Solutions of the Generalized Richards Equation with Power-Law Nonlinearities
Published in Differential equations (01-09-2020)“…We consider a generalized Richards equation with power-law nonlinearities modeling filtration in porous media. Conditions are derived under which the problem…”
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10
Evolution of Electron Transport under Resistive Switching in Porphyrazine Films
Published in Semiconductors (Woodbury, N.Y.) (01-03-2021)“…An analysis of the I – V characteristics makes it possible to determine the mechanisms of conduction corresponding to different states of the flow channels…”
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On the asymptotic stability of switched homogeneous systems
Published in Systems & control letters (2012)“…The stability of switched systems generated by the family of autonomous subsystems with homogeneous right-hand sides is investigated. It is assumed that for…”
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Exact Solutions of the Nonlinear Diffusion Equation
Published in Siberian mathematical journal (2019)“…We construct new radially symmetric exact solutions of the multidimensional nonlinear diffusion equation, which can be expressed in terms of elementary…”
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13
Determining the Vertical Profile of the Greenhouse-Gas Concentration in the Atmosphere up to 80 km on the Satellite-to-Earth Radio Translucence
Published in Izvestiya. Atmospheric and oceanic physics (01-12-2019)“…This article discusses methods for determining trace gases in the Earth’s atmosphere based on radio translucence of the satellite–Earth or…”
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14
On Exact Multidimensional Solutions of a Nonlinear System of Reaction–Diffusion Equations
Published in Differential equations (2018)“…We study a nonlinear reaction–diffusion system modeled by a system of two parabolic-type equations with power-law nonlinearities. Such systems describe the…”
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15
On Asymptotic Stability of Homogeneous Singular Systems with Switching
Published in Automation and remote control (01-03-2019)“…This paper considers the stability of singular switched systems with homogeneous functions in the right-hand sides of the corresponding equations. Stability…”
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16
On Exact Multidimensional Solutions to a Nonlinear System of Fourth-Order Hyperbolic Equations
Published in Journal of applied and industrial mathematics (01-04-2021)“…We study the system of two fourth-order nonlinear hyperbolic partial differential equations. The right-hand sides of the equations contain double Laplace…”
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17
Model for the Nucleation and Diffusion-Controlled Growth of Binary Alloy Nuclei under Potentiostatic Conditions
Published in Russian metallurgy Metally (01-08-2020)“…An approach is proposed to perform a mathematical description of the electrochemical formation and growth of binary alloy nuclei on the surface of an…”
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18
Optimization of the Parameters of Light-Induced Resistive Switching in Phthalocyanine Films
Published in JETP letters (01-12-2021)“…It is shown that the process of light-induced resistive switching in films based on macroheterocyclic dyes correlates with the spatial localization of…”
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19
Reductions and Exact Solutions of Nonlinear Elliptic Systems of a Special Form
Published in Differential equations (01-06-2019)“…We study a nonlinear system of two elliptic differential equations with nonlinearities depending on a product of powers of the unknown functions. Sufficient…”
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Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
Published in Siberian mathematical journal (01-07-2017)“…We study a nonlinear reaction-diffusion system that is modeled by a system of parabolic equations with power-law nonlinear terms. The proposed construction of…”
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