Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators

Abdelaziz Tajmouati; Abdeslam El Bakkali; Mohamed Baba Mohamed Ahmed

doi:10.5269/bspm.v38i5.40392

Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators

Authors

Abdelaziz Tajmouati Sidi Mohamed Ben Abdellah University
Abdeslam El Bakkali Chouaib Doukkali University
Mohamed Baba Mohamed Ahmed Sidi Mohammed Ben Abdellah University

DOI:

https://doi.org/10.5269/bspm.v38i5.40392

Keywords:

$\alpha$-times integrated semigroup, descent, ascent, Fredholm operator, Browder operator, Drazin invertible

Abstract

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.

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Published

2019-03-31

Issue

Vol. 38 No. 5 (2020)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Tajmouati, A., El Bakkali, A., & Mohamed Ahmed, M. B. (2019). Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators. Boletim Da Sociedade Paranaense De Matemática, 38(5), 115-130. https://doi.org/10.5269/bspm.v38i5.40392