find-all-function-that-satisfy-p-gt-0-0-f-t-e-pt-dt-e-pT-with-T-a-positive-real-

Question Number 77536 by ~blr237~ last updated on 07/Jan/20

find all function that satisfy

\forall p > 0 \int_{0}^{\infty} f (t) e^{- pt} dt = e^{- pT} with T a positive real

Answered by JDamian last updated on 07/Jan/20

A c c o r d i n g t o t h e L a p l a c e T r a n s f o r m

t a b l e s

f (t) = δ (t - T)

w h i c h i s k n o w n a s d e l a y e d i m p u l s e .

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