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Asymptotic Behavior of function

by nickthequick
Tags: asymptotic, behavior, function
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nickthequick
#1
Apr8-11, 01:49 PM
P: 52
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
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