\(\alpha\)-times integrated semigroups \((\alpha\in \mathbb{R}^ +)\) (Q1363611)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(\alpha\)-times integrated semigroups \((\alpha\in \mathbb{R}^ +)\) |
scientific article; zbMATH DE number 1046962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\alpha\)-times integrated semigroups \((\alpha\in \mathbb{R}^ +)\) |
scientific article; zbMATH DE number 1046962 |
Statements
\(\alpha\)-times integrated semigroups \((\alpha\in \mathbb{R}^ +)\) (English)
0 references
5 March 1998
0 references
\(\alpha\)-times integrated semigroups for any \(\alpha>0\) were introduced by \textit{M. Hieber} [Forum Math. 3, 595-612 (1991; Zbl 0766.47013)] where, among other things, a Hille-Yosida type theorem was proved. Further study was done by \textit{M. Hieber} [Math. Ann. 291, No. 1, 1-16 (1991; Zbl 0737.34043)], and \textit{I. Miyadera}, \textit{M. Okubo} and \textit{N. Tanaka} [Mem. Sch. Sci. Eng., Waseda Univ. 57, 267-289 (1993; Zbl 0814.47049)]. The present article presents some results similar to those of Hieber, whose papers apparently were not available to the authors at this time.
0 references
\(\alpha\)-times integrated semigroups
0 references
Hille-Yosida type theorem
0 references
