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.
Publié le : 2004-01-05
Classification:
difference equation,
stability,
attractivity,
Liapunov second method,
AMS: 39A10, 39A11,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00664791,
author = {Blot, Jo\"el and Michel, Philippe},
title = {On the Liapunov Second Method foe difference equations},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00664791}
}
Blot, Joël; Michel, Philippe. On the Liapunov Second Method foe difference equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00664791/