IDENTIFICATION OF THE RIGHT HAND SIDE OF A QUASILINEAR PSEUDOPARABOLIC EQUATION WITH MEMORY TERM
Вестник КазНУ. Серия математика, механика, информатика, 2021 The study of equations of mathematical physics, including inverse problems, is relevant today. This work is devoted to the fundamental problem of studying the solvability and qualitative properties of the solution of the inverse problem for a ...
S. E. Aitzhanov +2 more
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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 exponential-trigonometric spline minimizing a seminorm in a Hilbert space
Advances in Difference Equations, 2020 In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^{1}(\varphi {'''}(x)+\
Kholmat M. Shadimetov, Aziz K. Boltaev
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Sobolev’s inequality under a curvature-dimension condition
, 2023 International audienceIn this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci curvature. This result was initially obtained in 1983 by Ilias.
Dupaigne, Louis +5 more
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Improved interpolation inequalities, relative entropy and fast diffusion equations [PDF]
, 2013 We consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev’s inequality and the logarithmic Sobolev inequality, with optimal constants.
TOSCANI, GIUSEPPE, DOLBEALT JEAN
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Neumann Problem for Helmholtz Equation in Two-Dimensional Open Domains with Applications
, 2021 The research described in the thesis is devoted to a rigorous solution of the Neumann boundary value problem for the Helmholtz equation in two-dimensional open arbitrary domains, and its application to the diverse problems of practical acoustics and ...
Turker Topal (11364045)
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On the calculation of the radiation field in the spherical stellar envelope
, 1988 Методом В. В. Соболева получено в квадратурах приближенное решение уравнения переноса излучения в пылевой оболочке звезды со степенным законом распределения плотности.The approximate solution of transfer of radiation equation in the stellar envelope with
Александров, Ю.В.
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Sobolev’s Method for Hammerstein Integral Equations
, 2006 Sobolev’s initial value method is used to solve the Hammerstain equation of the second ...
A.A. El-Bary
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Calculation of Coefficients of the Optimal Quadrature Formulas in
AxiomsIn this paper, we construct an optimal quadrature formula in the sense of Sard by Sobolev’s method in the W2(7,0) space. We give explicit expressions for the corresponding optimal coefficients.
Ying Yang, Xuehua Li
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