Stability and Determinacy Conditions for Mixed-type Functional Differential Equations

Hippolyte d'Albis, Emmanuelle Augeraud-Véron and Herman Jan Hupkes

MPRA Paper from University Library of Munich, Germany

Abstract: This paper analyzes the solution of linear mixed-type functional differential equations with either predetermined or non-predetermined variables. Conditions characterizing the existence and uniqueness of a solution are given and related to the local stability and determinacy properties of the steady state. In particular, it is shown that the relationship between the uniqueness of the solution and the stability of the steady-state is more subtle than the one that holds for ordinary differential equations, and gives rise to new dynamic configurations.

Keywords: Functional; differential; equations; ⋅; Local; dynamics; ⋅; Existence; ⋅; Determinac (search for similar items in EconPapers)
JEL-codes: C61 C62 (search for similar items in EconPapers)
Date: 2014-06-10
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Related works:
Journal Article: Stability and determinacy conditions for mixed-type functional differential equations (2014)
Working Paper: Stability and determinacy conditions for mixed-type functional differential equations (2014)
Working Paper: Stability and determinacy conditions for mixed-type functional differential equations (2014)
Working Paper: Stability and determinacy conditions for mixed-type functional differential equations (2014)
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