862. LAPLACE变换 1048圆 f(t)e (0+io) dt p=0+io,f(p)=2rG(0) 则 f(p) f(t) dt. (6.2-3) 这就是函数f(t)的 Laplace变换,右边的积分称为 Laplace积分,em 称为 Laplace变换的核 定义:设函数f(t)是定义在(0,∞)上的实(复)函数,如果积分 f(tep di P=0+i0 0 ●Fist●Prev·Next●Last● Go Back● Full Screen●cose●Quit• First • Prev • Next • Last • Go Back • Full Screen • Close • Quit §6.2. LAPLACE C† 10/48 = 1 2π Z ∞ 0 f(t)e −(σ+iω)tdt. - p = σ + iω, ¯f(p) = 2πG(ω), K ¯f(p) = Z ∞ 0 f(t)e −ptdt. (6.2-3) ùÒ´¼ê f(t)  Laplace C†§m>È©¡ Laplace È©§e −pt ¡ Laplace C†Ø© ~ ½. Â. µ¼ê f(t) ´½Â3 (0, ∞) þ¢£E¤¼ê§XJÈ© Z ∞ 0 f(t)e −ptdt, p = σ + iω