Geodesic
Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 25-35

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

By the V. M. Matrosov's comparison method we obtain sufficient conditions of convergence for large scale almost periodic system of the differential equations. As components of comparison vector functions we use the homogeneous forms of even degrees. We propose a new approach to construction of comparison system that leads to the best results with respect to known F. N. Bailey's, D. D. Siljak's and V. D. Furasov's approaches.
Mots-clés : convergence
Keywords: V. M. Matrosov's comparison method, vector Lyapunov function, almost periodic solutions. 
@article{IVM_2015_7_a2,
     author = {A. A. Kosov},
     title = {Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--35},
     publisher = {mathdoc},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_7_a2/}
}
TY  - JOUR
AU  - A. A. Kosov
TI  - Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 25
EP  - 35
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_7_a2/
LA  - ru
ID  - IVM_2015_7_a2
ER  - 
%0 Journal Article
%A A. A. Kosov
%T Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 25-35
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2015_7_a2/
%G ru
%F IVM_2015_7_a2
A. A. Kosov. Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 25-35. http://geodesic.mathdoc.fr/item/IVM_2015_7_a2/