Time scales and the asymptotics for the solutions of discrete adiabatic oscillators
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 5-27
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We develop a method of averaging for the study of linear systems of dynamic equations on time scales. We use the obtained results to construct the asymptotics for the solutions of some equations of discrete adiabatic oscillators.
Keywords:
discrete adiabatic oscillator; time scale; method of averaging; asymptotics.
@article{MAIS_2011_18_1_a0,
author = {P. N. Nesterov},
title = {Time scales and the asymptotics for the solutions of discrete adiabatic oscillators},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {5--27},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a0/}
}
TY - JOUR AU - P. N. Nesterov TI - Time scales and the asymptotics for the solutions of discrete adiabatic oscillators JO - Modelirovanie i analiz informacionnyh sistem PY - 2011 SP - 5 EP - 27 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a0/ LA - ru ID - MAIS_2011_18_1_a0 ER -
P. N. Nesterov. Time scales and the asymptotics for the solutions of discrete adiabatic oscillators. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 5-27. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a0/