Geodesic
Construction of the first integrals for a special class of nonlinear systems
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 57-69

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

Existence conditions of the first integrals of a certain type for a class of nonlinear systems including vacuum diode model and its generalizations are obtained. The integrability of these diode models is justified.
Keywords: unresolved systems, first integrals, integrability, vacuum diode. 
@article{IIGUM_2012_5_1_a5,
     author = {A. A. Kosov and A. V. Sinitsyn},
     title = {Construction of the first integrals for a special class of nonlinear systems},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {57--69},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a5/}
}
TY  - JOUR
AU  - A. A. Kosov
AU  - A. V. Sinitsyn
TI  - Construction of the first integrals for a special class of nonlinear systems
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2012
SP  - 57
EP  - 69
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a5/
LA  - ru
ID  - IIGUM_2012_5_1_a5
ER  - 
%0 Journal Article
%A A. A. Kosov
%A A. V. Sinitsyn
%T Construction of the first integrals for a special class of nonlinear systems
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2012
%P 57-69
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a5/
%G ru
%F IIGUM_2012_5_1_a5
A. A. Kosov; A. V. Sinitsyn. Construction of the first integrals for a special class of nonlinear systems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 57-69. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a5/