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Differential-functional Goursat problem [PDF]
, 2007 This paper is devoted to a differential-functional Goursat problem for second-order hyperbolic equations. There are proved existence results based on the Banach and Schauder fixed point theorems with some Bielecki type ...
Wojciechowski, Remigiusz
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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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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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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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The generalized Goursat-Riemann problem for plane waves in isotropic elastic solids.
, 1992 The generalized Goursat-Riemann problem for plane waves in isotropic elastic ...
Tankin. Wang (7961096)
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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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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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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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On problems with displacement in boundary conditions for hyperbolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider three problems for hyperbolic equation on a plane in the characteristic domain. In these problems at least one of the conditions of the Goursat problem is replaced by nonlocal condition on the relevant characteristic. Non-local conditions are
Elena A Utkina
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Известия Иркутского государственного университета: Серия "Математика", 2023 We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions.
K.B. Mansimov, R.O. Mastaliyev
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