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A Goursat problem for the wave equation
1986The purpose of this paper is to study the stability of solutions \(u=u(x,y,t)\) of the Goursat problem for the wave equation \[ u_{tt}- u_{xx}-u_{yy}=0, \] with data on characteristic planes \[ u(x,y,y)= \phi(x,y);\quad u(x,y,-y)= \psi(x,y). \]
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Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions
Applied Mathematics and Computation, 2011Kun Gou
exaly
The Goursat problem for the fractional telegraph equation with Caputo derivatives
Mathematical Notes, 2016exaly
On the Solution of the Goursat Problem for the Toda System Associated with the Lie Algebra C 2
Journal of Mathematical Sciences, 2015exaly
Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative
Mathematical Notes, 2014exaly

