Open AccessSpectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators
Author(s) -
Abdelaziz Tajmouati,
Abdeslam El Bakkali,
Mohamed Baba Mohamed Ahmed
Publication year - 2019
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v38i5.40392
Subject(s) - alpha (finance) , cauchy distribution , mathematics , semigroup , pure mathematics , mathematical analysis , statistics , construct validity , psychometrics
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.