The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions
Islam Boussaada, Guilherme Mazanti, Silviu‐Iulian Niculescu
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.
Topics & Concepts
MathematicsMultiplicity (mathematics)ContinuationProperty (philosophy)GeneralizationHypergeometric functionGravitational singularityDegenerate energy levelsDifferential equationClass (philosophy)Mathematical analysisApplied mathematicsDelay differential equationPure mathematicsComputer scienceEpistemologyArtificial intelligencePhilosophyProgramming languageQuantum mechanicsPhysicsStability and Control of Uncertain SystemsPolynomial and algebraic computationMathematical and Theoretical Epidemiology and Ecology Models