Journal of Siberian Federal University. Mathematics & Physics / On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Toumi, Habiba; Nouar, Ahmed
Contact information
Toumi, Habiba: Laboratory LAMAHIS, University Badji Mokhtar Annaba 23000, Algeria; , OCRID: 0009-0003-2332-3689; Nouar, Ahmed: Laboratory LAMAHIS, University 20 Aˆut 1955 Skikda 21000, Algeria;
Keywords
abstract Cauchy problems; integrated semi-groups; well-posedness
Abstract

In this paper, we establish sufficient conditions for the p-fold well-posedness of higher-order abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils derived from the characteristic pencil for the operational differential equation considered. In particular, this paper improves important and interesting work

Pages
304–317
EDN
EFTTGL
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/152853