Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2004), pp. 41-52

Voir la notice de l'article provenant de la source Math-Net.Ru

The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions (both autonomous and non-autonomous) in Banach space. We establish the relation between absolute asymptotic stability, uniform asymptotic stability and uniform exponential stability. It is proved that for compact (completely continuous) discrete linear inclusions these notions of stability are equivalent. We study this problem in the framework of non-autonomous dynamical systems (cocyles).
@article{BASM_2004_3_a4,
     author = {D. Cheban and C. Mammana},
     title = {Asymptotic {Stability} of autonomous and {Non-Autonomous} {Discrete} {Linear} {Inclusions}},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {41--52},
     publisher = {mathdoc},
     number = {3},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2004_3_a4/}
}
TY  - JOUR
AU  - D. Cheban
AU  - C. Mammana
TI  - Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2004
SP  - 41
EP  - 52
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2004_3_a4/
LA  - en
ID  - BASM_2004_3_a4
ER  - 
%0 Journal Article
%A D. Cheban
%A C. Mammana
%T Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2004
%P 41-52
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2004_3_a4/
%G en
%F BASM_2004_3_a4
D. Cheban; C. Mammana. Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2004), pp. 41-52. http://geodesic.mathdoc.fr/item/BASM_2004_3_a4/