Time–Optimal Control of Linear Fractional Systems with Variable Coefficients [PDF]
International Journal of Applied Mathematics and Computer Science, 2021 Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper.
Matychyn Ivan, Onyshchenko Viktoriia
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Optimal quadrature formulas in the space W2(m,m−1) of periodic functions
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used.
Hayotov, A.R., Khayriev, U.N.
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Optimal quadrature formulas for oscillatory integrals in the Sobolev space
Journal of Inequalities and Applications, 2022 This work studies the problem of construction of optimal quadrature formulas in the sense of Sard in the space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$ for numerical calculation of Fourier coefficients. Using Sobolev’s method, we obtain new sine and cosine
Kholmat Shadimetov +2 more
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An Optimal Choice of Profile Shift Coefficients for Spur Gears
Machines, 2021 Methods used earlier for choosing profile shift coefficients were based on presumed advantages without physical proof justifying them. In this paper, a new method is proposed which guarantees a positive influence on gear failures and the operational ...
Zoltán Tomori
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Journal of Optimization, Differential Equations and Their Applications, 2023 For the problem of optimal control of a parabolic-hyperbolic process with nonlocal point boundary conditions, an explicit form of the solution is obtained in the form of formal series according to the system of eigenfunctions, which are generated by the ...
Volodymyr O. Kapustyan +3 more
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Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]
E3S Web of ConferencesThe development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate ...
Bozarov Bakhromjon +5 more
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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Enhancing Average Secrecy Rates in Downlink NOMA with Dependent Channel Coefficients and Optimal Power Coefficients [PDF]
Computer and Knowledge EngineeringWireless communication systems demand efficient solutions, and non-orthogonal multiple access (NOMA) has emerged as a promising approach. The present investigation compares NOMA against orthogonal multiple access (OMA) methods, specifically focusing on ...
Faramarz Ajami Khales +1 more
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Simultaneous Optimal Estimation of Roughness and Minor Loss Coefficients in a Pipeline
Mathematical and Computational Applications, 2020 This paper presents a proposal to estimate simultaneously, through nonlinear optimization, the roughness and head loss coefficients in a non-straight pipeline.
Ildeberto Santos-Ruiz +3 more
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