"In the Green-function treatment of particle motion, a unit impulse is represented by a force F(t) = δ(t–t′) and is the analogue of the unit point source in spatial problems. The initial conditions play the role of boundary conditions."
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Lawrie Challis and Fred Sheard, (quote from p. 46)
https://en.wikiquote.org/wiki/Initial_condition
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Initial condition
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