Representation Theorems for Integrated Semigroups
DOI:
https://doi.org/10.5644/SJM.01.2.09Keywords:
Linear operator on a Banach space, $C_{0}-$ semigroup, exponentially bounded integrated semigroupAbstract
In this paper $\left( S(t)\right) _{t\geq 0}$ is an exponentially bounded integrated semigroup on a Banach space $X,$ with generator $A.$ We present some relations between an integrated semigroup and its generator $A,$ or its resolvent.
2000 Mathematics Subject Classification. 47D60, 47D62
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References
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