On the stability properties of a delay differential neoclassical model of economic growth

Buedo-Fernández Sebastián; Liz Eduardo: On the stability properties of a delay differential neoclassical model of economic growth. (2018)

[thumbnail of ejqtde_2018_043.pdf]
Előnézet
Cikk, tanulmány, mű
ejqtde_2018_043.pdf

Letöltés (518kB) | Előnézet

Absztrakt (kivonat)

The main aim of this paper is to establish sharp global stability conditions for the positive equilibrium of a well-known model of economic growth when a delay is considered in the production function. In order to deal with a broad scenario, we establish some results of global attraction for a general family of differential equations with variable delay; for it, we use the notion of strong attractor, which allows us to simplify the proofs, as well as to generalize previous results. Our study reveals that sometimes production delays are not able to destabilize the positive equilibrium, even if they are large. In other cases, the stability properties of the equilibrium depend on the interaction between the delay and other relevant model parameters, leading sometimes to stability windows in the bifurcation diagram.

Mű típusa: Folyóirat
Egyéb cím: Honoring the career of László Hatvani on the occasion of his seventy-fifth birthday
Folyóirat/könyv/kiadvány címe: Electronic journal of qualitative theory of differential equations : special edition
Dátum: 2018
Kötet: 3
Szám: 43
ISSN: 1417-3875
Oldalak: pp. 1-14
Kulcsszavak: Differenciálegyenlet - késleltetett
Megjegyzések: Bibliogr.: p. 12-14. ; Összefoglalás angol nyelven
Feltöltés dátuma: 2018. nov. 06. 14:23
Utolsó módosítás: 2021. nov. 12. 10:28
URI: http://acta.bibl.u-szeged.hu/id/eprint/55713
Bővebben:
Tétel nézet Tétel nézet