数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (1): 63-73.
高明杵
Gao Mingchu
摘要: By defined holomorphic n-times integrated mild C-existence families and C-semigroups, their relationship with holomorphic mild C1-exustence families and holomorphic C1 -semigroups is discussed, respectively. For exponentially bounded cases, this paper gives several Hille-Yosida type conditions for an operator to have (or generate) one of these families of operators and generalize the corresponding results in[1],[2] and[3]. These families by the holomorphic solvability of the abstract Cauchy problem is also characterized.