Geodesic
On the $p$-fold well-posedness of higher order abstract Cauchy problem
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 304-317

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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.
Keywords: abstract Cauchy problems, integrated semi-groups, well-posedness. 
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Habiba Toumi; Ahmed Nouar. On the $p$-fold well-posedness of higher order abstract Cauchy problem. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 304-317. http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a1/