Abdelkader DEHICI (2014) Some spectral properties in Banach spaces and application to transport theory. Afrika Matematika , 25(4), 933-947, Springer
Scientific Publications
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Abstract
In this paper, by using the notion of the Bochner measurability, we establish some properties concerning some classes of C0 -semigroups in Banach spaces. After, we will apply them in the framework of the transport theory in order to obtain compactness properties giving a good comprehension of the time asymptotic behavior of the solutions for the associated Cauchy problems. Moreover, by using the concept of the Hausdorff measure of noncompactness, we obtain some results incoming within the framework of the Fredholm theory. Also, a fine description of the Schechter essential spectrum of a closed densely defined operators is given.
Information
Item Type | Journal |
---|---|
Divisions |
» Laboratory of Computer Science and Mathematics » Faculty of Science and Technology |
ePrint ID | 235 |
Date Deposited | 2014-12-19 |
Further Information | Google Scholar |
URI | https://univ-soukahras.dz/en/publication/article/235 |
BibTex
@article{uniusa235,
title={Some spectral properties in Banach spaces and application to transport theory},
author={Abdelkader DEHICI},
journal={Afrika Matematika}
year={2014},
volume={25},
number={4},
pages={933-947},
publisher={Springer}
}
title={Some spectral properties in Banach spaces and application to transport theory},
author={Abdelkader DEHICI},
journal={Afrika Matematika}
year={2014},
volume={25},
number={4},
pages={933-947},
publisher={Springer}
}