On generators of integratedC-semigroups andC-cosine functions
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The following two theorems are proved: (1) the generator of an exponentially equicontinuousn-times integratedC-cosine function also generates an exponentially equicontinuous [(n+1)/2]-times integratedC-semigroup; (2) IfA and −A are generators of exponentially equicontinuousn-times integratedC-semigroups, thenA 2 generates an exponentially equicontinuousn-times integratedC-cosine function.
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Volume 47, Issue 1 , pp 29-35
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