We establish some left and right multiplicative perturbations of a local α-times integrated C-semigroup S(·) on a complex Banach space X with non-densely defined generator, which can be applied to obtain some additive perturbation results concerning S(·). Some growth conditions of the perturbations of S(·) are also established.
Nai-Sher YEH
,
Chung-Cheng KUO
. MULTIPLICATIVE PERTURBATIONS OF LOCAL α-TIMES INTEGRATED C-SEMIGROUPS[J]. Acta mathematica scientia, Series B, 2017
, 37(3)
: 877
-888
.
DOI: 10.1016/S0252-9602(17)30042-5
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