Results 161 to 170 of about 2,992 (175)

A Goursat problem for the wave equation

1986
The 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 \[ u(x,y,y)= \phi(x,y);\quad u(x,y,-y)= \psi(x,y). \]
openaire   +2 more sources

Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems

Journal of Mathematical Analysis and Applications, 2012
Jianli Liu, Kejia Pan
exaly  

The decomposition method for approximate solution of the Goursat problem

Applied Mathematics and Computation, 1995
Abdul Majid Wazwaz
exaly  

On existence and nonexistence of global solutions of Cauchy–Goursat problem for nonlinear wave equations

Journal of Mathematical Analysis and Applications, 2008
exaly  

Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative

Mathematical Notes, 2014
Ilgar Gurbat oglu Mamedov
exaly  

One Goursat problem in a Sobolev space

Russian Mathematics, 2011
Ilgar Gurbat oglu Mamedov
exaly  

Existence of a Global Smooth Solution¶for a Degenerate Goursat Problem¶of Gas Dynamics

Archive for Rational Mechanics and Analysis, 2000
exaly  

The Goursat problem for the fractional telegraph equation with Caputo derivatives

Mathematical Notes, 2016
exaly  

ABSOLUTELY CONTINUOUS SOLUTIONS OF GOURSAT PROBLEMS

1994
openaire   +1 more source

A generalized Goursat problem for elliptic equations.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1966
openaire   +1 more source