Re: Questions on Laplace transform
- From: Rskater <Rskater@xxxxxxxxxxx>
- Date: Sun, 18 May 2008 04:42:12 GMT
The World Wide Wade wrote:
Okay for what? Rephrase your question precisely.
Let us assume f(x) is a linear combination of an exponential function.
i.e. \[ f(x) = \sum_{i=1}^n a_i \exp(-b_i x) \] with $b_i>0$ for all i,
but some of $a_i$'s could be negative.
Also assume F(s) is the Laplace Transform of f(x).
Is the following true?
If F(s)>0 for s>=0 then f(x) >0 for x>0.
.
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