Geodesic
Critical stability of solutions to linear ordinary differential equations with large high-frequency terms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 96-109

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

The stability problem is considered for certain classes of systems of linear ordinary differential equations with almost periodic coefficients. These systems are characterized by the presence of rapidly oscillating terms with large amplitudes. For each class of equations, a procedure for analyzing the critical stability of solutions is constructed on the basis of the Shtokalo–Kolesov method. A verification scheme is described. The theory proposed is illustrated by using a linearized stability problem for the upper equilibrium of a pendulum with a vibrating suspension point. 
@article{ZVMMF_2007_47_1_a9,
     author = {G. L. Khatlamadzhiyan},
     title = {Critical stability of solutions to linear ordinary differential equations with large high-frequency terms},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {96--109},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a9/}
}
TY  - JOUR
AU  - G. L. Khatlamadzhiyan
TI  - Critical stability of solutions to linear ordinary differential equations with large high-frequency terms
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 96
EP  - 109
VL  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a9/
LA  - ru
ID  - ZVMMF_2007_47_1_a9
ER  - 
%0 Journal Article
%A G. L. Khatlamadzhiyan
%T Critical stability of solutions to linear ordinary differential equations with large high-frequency terms
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 96-109
%V 47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a9/
%G ru
%F ZVMMF_2007_47_1_a9
G. L. Khatlamadzhiyan. Critical stability of solutions to linear ordinary differential equations with large high-frequency terms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 96-109. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a9/