Geodesic
The asymptotic representation of solutions of difference equations systems and the averaging method
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 63-67.

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

The problem of constructing asymptotics for solutions of one class of difference equations as $t\to+\infty$ is studied. 
@article{MAIS_2007_14_2_a13,
     author = {P. N. Nesterov},
     title = {The asymptotic representation of solutions of difference equations systems and the averaging method},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {63--67},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a13/}
}
TY  - JOUR
AU  - P. N. Nesterov
TI  - The asymptotic representation of solutions of difference equations systems and the averaging method
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 63
EP  - 67
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a13/
LA  - ru
ID  - MAIS_2007_14_2_a13
ER  - 
%0 Journal Article
%A P. N. Nesterov
%T The asymptotic representation of solutions of difference equations systems and the averaging method
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 63-67
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a13/
%G ru
%F MAIS_2007_14_2_a13
P. N. Nesterov. The asymptotic representation of solutions of difference equations systems and the averaging method. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 63-67. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a13/

[1] P. N. Nesterov, “Postroenie asimptotiki reshenii odnomernogo uravneniya Shredingera s bystro ostsilliruyuschim potentsialom”, Matematicheskie zametki, 80:2 (2006), 240–250 | MR | Zbl

[2] P. N. Nesterov, Asimptoticheskoe integrirovanie sistemy dvukh lineinykh ostsillyatorov s medlenno ubyvayuschei svyazyu, Dep. v VINITI RAN 21.02.2006, No 171-V2006, Yarosl. gos. un-t. im. P. G. Demidova, Yaroslavl, 2006, 28 pp.

[3] V. Sh. Burd, P. N. Nesterov, “Parametricheskii rezonans v odnom uravnenii iz klassa adiabaticheskikh ostsillyatorov”, Model. i analiz inform. sistem, 13:2 (2006), 48–54

[4] A. V. Bourd, “Asymptotic Behavior of Solutions of Some Linear Difference Equations with Oscillatory Decreasing Coefficients”, Journal of Difference Equations and Applications, 9:2 (2003), 211–225 | DOI | MR | Zbl

[5] F. R. Gantmakher, Teoriya matrits, 5-e izd., FIZMATLIT, M., 2004, 560 pp.

[6] P. N. Nesterov, “Usrednenie sistem s kolebatelno ubyvayuschimi koeffitsientami v sluchae periodichnosti ostsilliruyuschei sostavlyayuschei”, Sovremennye problemy matematiki i informatiki, Sbornik nauchnykh trudov molodykh uchenykh, aspirantov i studentov, 8, 2006, 98–108

[7] I. M. Rapoport, O nekotorykh asimptoticheskikh metodakh v teorii differentsialnykh uravnenii, Izd-vo Akademii nauk USSR, Kiev, 1954, 292 pp. | MR

[8] Z. Benzaid, D. A. Lutz, “Asymptotic representation of solutions of perturbed systems of linear difference equations”, Studies in Appl. Math., 77 (1987), 195–221 | MR | Zbl

[9] V. Sh. Burd, P. N. Nesterov, “Ob asimptotike reshenii odnogo raznostnogo uravneniya vtorogo poryadka s kolebatelno ubyvayuschimi koeffitsientami”, Model. i analiz inform. sistem, 12:2 (2005), 24–31