MULTIPLICATIVE PERTURBATIONS OF LOCAL alpha-TIMES INTEGRATED C-SEMIGROUPS

作者：Yeh Nai Sher; Kuo Chung Cheng

来源：Acta Mathematica Scientia, 2017, 37(3): 877-888.

DOI：10.1016/s0252-9602(17)30042-5

• Integrated C-semigroup
• generator
• abstract Cauchy problem
• perturbation

We establish some left and right multiplicative perturbations of a local a -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.

• 出版日期2017-5