The paper presents an overview of the basic results and methods for stability investigations of higher-order linear autonomous difference equations. The presented criteria formulate several types of necessary and sufficient conditions for the asymptotic stability of the zero solution of studied equations, with a special emphasize put on delay difference equations. Various comments, comparisons, examples and illustrations are given to support theoretical results. supported by the grant P201/11/0768"Qualitative properties of solutions of differential equations andtheir applications" of the Czech Science Foundation
@article{376,
title = {Stability conditions for linear delay difference equations: a survey and perspectives},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.376},
language = {EN},
url = {http://dml.mathdoc.fr/item/376}
}
Čermák, Jan. Stability conditions for linear delay difference equations: a survey and perspectives. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.376. http://gdmltest.u-ga.fr/item/376/