A STABILITY RESULT IN A MEMORY-TYPE TIMOSHENKO SYSTEM

作者:Messaoudi Salim A*; Mustafa Muhammad I
来源:Dynamic Systems and Applications, 2009, 18(3-4): 457-468.

摘要

In this paper we consider the following Timoshenko system
phi(tt) - (phi(x) + psi)(x) = 0, (0, 1) x R(+)
psi(tt) - psi(xx) + phi(x) + psi + integral(t)(0) g(t - tau)psi(xx)(tau)d tau = 0, (0, 1) x R(+)
with Dirichlet boundary conditions where g is a positive nonincreasing function. We establish a generalized stability result for this system.