Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (3): 877-888.doi: 10.1016/S0252-9602(17)30042-5

• Articles • Previous Articles    

MULTIPLICATIVE PERTURBATIONS OF LOCAL α-TIMES INTEGRATED C-SEMIGROUPS

Nai-Sher YEH, Chung-Cheng KUO   

  1. Department of Mathematics, Fu Jen Catholic University, New Taipei City, Taiwan, China
  • Received:2015-11-09 Online:2017-06-25 Published:2017-06-25

Abstract: 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.

Key words: Integrated C-semigroup, generator, abstract Cauchy problem, perturbation

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