Xiao, Tijun; Liang, Jin; Li, Fang A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups. (English) Zbl 1106.47039 Taiwanese J. Math. 10, No. 1, 153-162 (2006). The authors give a Miyadera type perturbation result for local \(C\)-regularized semigroups; the original Miyadera perturbation theorem for \(C_0\)-semigroups can be obtained as a corollary. The result presented in this paper is also suitable for non-exponentially-bounded regularized semigroups, while previous generalizations of Miyadera’s results are mainly applicable only for exponentially bounded operator families. Reviewer: Shangquan Bu (Beijing) Cited in 1 ReviewCited in 4 Documents MSC: 47D60 \(C\)-semigroups, regularized semigroups 47D06 One-parameter semigroups and linear evolution equations 34G10 Linear differential equations in abstract spaces Keywords:multiplicative perturbation; Miyadera type perturbation theorem; local regularised semigroups Citations:Zbl 0193.10902 PDFBibTeX XMLCite \textit{T. Xiao} et al., Taiwanese J. Math. 10, No. 1, 153--162 (2006; Zbl 1106.47039) Full Text: DOI