Remarks on a~stability problem
Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 533-536
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The paper considers a system of three differential equations of the following form:
\begin{align*}
\dot x_1=a_{11}x_1+\varphi_2(x_2)+\varphi_3(x_3),
\\
\dot x_2=a_{21}x_1+a_{22}x_2+a_{23}x_3,
\\
\dot x_3=a_{31}x_1+a_{32}x_2+a_{33}x_3.
\end{align*} It is established that the given system can have periodic solutions if the generalized Routh–Hurwitz conditions hold.
@article{MZM_1971_10_5_a6,
author = {M. A. Balitinov},
title = {Remarks on a~stability problem},
journal = {Matemati\v{c}eskie zametki},
pages = {533--536},
publisher = {mathdoc},
volume = {10},
number = {5},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a6/}
}
M. A. Balitinov. Remarks on a~stability problem. Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 533-536. http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a6/