On the Liapunov Second Method foe difference equations

Joël Blot (1) , Philippe Michel (2)

1 CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique
2 GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille

We study various kinds of stability of a constant solution of an autonomous difference equation by using auxiliary functions like in the Liapunov Second Method. We establish new general principles and we improve several classical results.

Mots clés: difference equation; stability; attractivity; Liapunov second method

Domaines: Systèmes dynamiques [math.DS]

Joël Blot, Philippe Michel. On the Liapunov Second Method foe difference equations. Journal of Difference Equations and Applications, 2004, 10 (1), pp.41-52. ⟨10.1080/103619031000148795⟩. ⟨hal-00664791⟩