ABSTRACT
This chapter explains the important property of the Laplace transformation that is initial and final value theorems. The initial value and final value theorems are just two of many Laplace transform theorems used to simplify and interpret the solution of certain problems. These theorems are used in particular in pulse circuit applications where the response of a circuit for very small intervals of time, or the behaviour immediately after the switch is closed are of interest. The initial value theorem shows that there is a direct connection between the behaviour of a transform as s approaches infinity and the behaviour of the corresponding time function as t approaches zero. The final value theorem is particularly useful in investigating the stability of systems and is concerned with the steady state response for large values of t, that is after all transient effects have died away.
