Stability and determinacy conditions for mixed-type functional differential equations

B-Tier
Journal: Journal of Mathematical Economics
Year: 2014
Volume: 53
Issue: C
Pages: 119-129

Authors (3)

d’Albis, Hippolyte (not in RePEc) Augeraud-Véron, Emmanuelle (Université de Bordeaux) Hupkes, Hermen Jan (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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.

Technical Details

RePEc Handle
repec:eee:mateco:v:53:y:2014:i:c:p:119-129
Journal Field
Theory
Author Count
3
Added to Database
2026-01-24