Dua Formula Eksponensial (Operator Linear dari Semigrup)

Abstract

Assumed A is infinitesimal generator of C₀-semigroup T(t) on X. This could be defined as T(t)=e^tA, applies if A is a bounded linear operator. Not if A is unbounded linear operator, then it will result in one possibility that show T(t) could be represented as e^tA. This paper will discuss and detail the proof of the other two formulas that show T(t) could be represented as e^tA_.