Geodesic
A~necessary and sufficient condition for nonoscillatory behavior of the solutions of a~system of two linear equations of the first order
Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 259-265

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

For the system $y'=b(x)z$, $z'=-a(x)y$, where $a(x),b(x)\in C(x_0,+\infty)$, $b(x)\ge0$ we obtain for $x\ge x_0$ a necessary and sufficient condition for nonoscillatory behavior. From this condition we derive new criteria for the nonoscillatory behavior of the system considered. 
@article{MZM_1974_16_2_a9,
     author = {I. V. Kamenev},
     title = {A~necessary and sufficient condition for nonoscillatory behavior of the solutions of a~system of two linear equations of the first order},
     journal = {Matemati\v{c}eskie zametki},
     pages = {259--265},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a9/}
}
TY  - JOUR
AU  - I. V. Kamenev
TI  - A~necessary and sufficient condition for nonoscillatory behavior of the solutions of a~system of two linear equations of the first order
JO  - Matematičeskie zametki
PY  - 1974
SP  - 259
EP  - 265
VL  - 16
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a9/
LA  - ru
ID  - MZM_1974_16_2_a9
ER  - 
%0 Journal Article
%A I. V. Kamenev
%T A~necessary and sufficient condition for nonoscillatory behavior of the solutions of a~system of two linear equations of the first order
%J Matematičeskie zametki
%D 1974
%P 259-265
%V 16
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a9/
%G ru
%F MZM_1974_16_2_a9
I. V. Kamenev. A~necessary and sufficient condition for nonoscillatory behavior of the solutions of a~system of two linear equations of the first order. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 259-265. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a9/