Asymptotic Behavior of function

nickthequick

Hi, given

[tex] u(x,t) = \int_{t_o}^t \left(Sech^2(x-ct_1)-Sech^2(x+ct_1)\right)g(t-t_1) dt_1 [/tex]

and [tex] g(t) \to 0 \quad \text{as} \quad t \to \infty[/tex]

can we say anything about the behavior of u(x,t) for the limiting case of large t?

Cheers,

Nick