چکیده (انگلیسی):

This work is concerned with the asymptotic behavior of global C1 solutions of the Goursat problem for quasilinear hyperbolic systems. We prove that when t tends to the infinity, the solutions approach a combination of C1 traveling wave solutions at algebraic rate (1 + t)−μ, provided that the boundary data decay at the rate (1 + t)−(1+μ) , where μ is a positive constant. Finally, we give an application to the equation for motion of an elastic string.