Stability and determinacy conditions for mixed-type functional differential equations

Hippolyte d'Albis, Emmanuelle Augeraud-Véron and Hermen Jan Hupkes
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Hermen Jan Hupkes: Mathematical institute - Universiteit Leiden = Leiden University

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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: 2014-08
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Citations: View citations in EconPapers (6)

Published in Journal of Mathematical Economics, 2014, 53, pp.119-129. ⟨10.1016/j.jmateco.2014.06.008⟩

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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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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:hal-01162232

DOI: 10.1016/j.jmateco.2014.06.008

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