Back to Search
Start Over
The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions
- Source :
- Comptes Rendus. Mathématique, Vol 360, Iss G4, Pp 349-369 (2022)
- Publication Year :
- 2022
- Publisher :
- Académie des sciences, 2022.
-
Abstract
- In this paper, which is a direct continuation and generalization of the recent works by the authors [17, 35], we show the validity of the generic multiplicity-induced-dominancy property for a general class of linear functional differential equations with a single delay, including the retarded as well as the neutral cases. The result is based on an appropriate integral representation of the corresponding characteristic quasipolynomial functions involving some appropriate degenerate hypergeometric functions.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English, French
- ISSN :
- 17783569
- Volume :
- 360
- Issue :
- G4
- Database :
- Directory of Open Access Journals
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2c20f38263704d6a80243a8faeaee43c
- Document Type :
- article
- Full Text :
- https://doi.org/10.5802/crmath.293