Stability and determinacy conditions for mixed-type functional differential equations

d’Albis, Hippolyte, Emmanuelle Augeraud-Véron and Hermen Jan Hupkes
Authors registered in the RePEc Author Service: Hippolyte d'Albis

Journal of Mathematical Economics, 2014, vol. 53, issue C, 119-129

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; Determinacy (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Related works:
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)
Working Paper: Stability and Determinacy Conditions for Mixed-type Functional Differential Equations (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:53:y:2014:i:c:p:119-129

DOI: 10.1016/j.jmateco.2014.06.008

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