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Start Over Author "Niculescu, Silviu-Iulian" Topic hypergeometric functions Publisher academie des science, centre mersenne

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1 results on '"Niculescu, Silviu-Iulian"'

1. The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions.

Author

Boussaada, Islam, Mazanti, Guilherme, and Niculescu, Silviu-Iulian

Subjects
*FUNCTIONAL differential equations, *LINEAR differential equations, *DELAY differential equations, *EQUATIONS, *INTEGRAL representations, *HYPERGEOMETRIC functions, *CHARACTERISTIC functions
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. [ABSTRACT FROM AUTHOR]

Published
2022
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