Geodesic
Regions of stability for a difference equation
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 74-75

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

Stability of scalar difference equations with one delay is investigated. Restrictions are layed consequently on coefficients and delays of the linear nonautonomous equation of general form. First we consider the equation with arbitrary coefficients and delays, then the equation with limited delays, the one with constant coefficients, and, at last, the autonomous equation. It is demonstrated how the region of stability is expanded.
Keywords: difference equations, equations with delay. 
@article{IIMI_2012_39_1_a33,
     author = {A. Yu. Kulikov},
     title = {Regions of stability for a difference equation},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {74--75},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a33/}
}
TY  - JOUR
AU  - A. Yu. Kulikov
TI  - Regions of stability for a difference equation
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2012
SP  - 74
EP  - 75
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a33/
LA  - ru
ID  - IIMI_2012_39_1_a33
ER  - 
%0 Journal Article
%A A. Yu. Kulikov
%T Regions of stability for a difference equation
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2012
%P 74-75
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a33/
%G ru
%F IIMI_2012_39_1_a33
A. Yu. Kulikov. Regions of stability for a difference equation. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 74-75. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a33/