Results 21 to 30 of about 12,187,697 (193)
REPORTS ADYGE (CIRCASSIAN) INTERNATIONAL ACADEMY OF SCIENCES, 2021 In this paper, for a generalized telegraph equation with constant coefficients and two independent variables, we construct a solution to an analogue of the Goursat problem.
R. Pshibikhova
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Fractional Order Airy’s Type Differential Equations of Its Models Using RDTM
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, we propose a novel reduced differential transform method (RDTM) to compute analytical and semianalytical approximate solutions of fractional order Airy’s ordinary differential equations and fractional order Airy’s and Airy’s type partial differential equations subjected to certain initial conditions.
Daba Meshesha Gusu +4 more
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On numerical solution by method of V.K. Dzyadyk of Goursat problem with constant coefficients
Research in Mathematics, 2021 By means of Fourier-Chebyshev operators we construct, by approximative method, the generalized polynomial that approximates the solution of Goursat problem with constant coefficients. We obtain the efficient estimate of this approximation.
V. P. Burlachenko, Y. Romanenko
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The Goursat problem at the horizons for the Klein–Gordon equation on the de Sitter–Kerr metric [PDF]
Journal of Hyperbolic Differential Equations, 2020 The main topic of this paper is the Goursat problem at the horizon for the Klein–Gordon equation on the De Sitter–Kerr metric when the angular momentum (per unit of mass) of the black hole is small.
P. Millet
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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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CONFORMAL SCATTERING AND THE GOURSAT PROBLEM
Journal of Hyperbolic Differential Equations, 2004 We work on a class of non-stationary vacuum space-times admitting a conformal compactification that is smooth at null and timelike infinity. Via a conformal transformation, the existence of a scattering operator for field equations is interpreted as the well-posedness of a Goursat problem on null infinity.
Mason, L, Nicolas, J
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The Riemann method for equations with a dominant partial derivative (A Review) [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In the paper we consider the well-posed characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The illustrative example
J. O. Yakovleva
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Initial Value Problems for System of Wave Equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 We present solutions to the Cauchy problem and the Goursat problem for system of wave equations. Discharged analogue d'Alembert formula for system of wave equations.
S. V. Leksina
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 In this paper, we construct the solution to the Goursat problem for a generalized telegraph equation of fractional order with variable coefficients.
Pshibikhova R. A.
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