Abstract

In this work, we get some relations between the boundary point spectrum of the generator A of a C0 -semigroup and the generator A* of the dual semigroup. These relations combined with the results due to Lyubich-Phóng and Arendt-Batty, yield stability results on positive C0-semigroup. After the theorem of Liapunov on classical stability, a lot of contributions have been made in order to get generalizations to infinite dimension of this theorem. One of the more recent results in this contexte is the stability theorem due to Arendt-Batty [21]et Lyubich-Phóng [30].

Information

Item Type:	Thesis
Divisions:
ePrint ID:	222
Date Deposited:	2014-12-16
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/en/publication/article/222

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