We interest to $\alpha$-times integrated semigroups that are the solution of the $(\alpha+1)$-times integrated Cauchy problems. Particulary, we characterize partially the different spectrums of $\alpha$-times integrated semigroups using the spectrums of its generators.
@article{40392,
title = {Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {38},
year = {2019},
doi = {10.5269/bspm.v38i5.40392},
language = {EN},
url = {http://dml.mathdoc.fr/item/40392}
}
Tajmouati, Abdelaziz; El Bakkali, Abdeslam; Mohamed Ahmed, Mohamed Baba. Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i5.40392. http://gdmltest.u-ga.fr/item/40392/