Abstract
We establish conditions under which solutions of some systems of differential equations are bounded and study their asymptotic properties.
References
E. A. Barbashin and N. N. Krasovskii, “On the general stability of motion,”Dokl Akad. Nauk SSSR,86, No. 3, 453–456 (1952).
A. M. Lyapunov,General Problem of Stability of Motion [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
I. Bendixon, “On curves given by differential equations,”Usp. Mat. Nauk,9, 191–211 (1941).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 944–946, July, 1994.
Rights and permissions
About this article
Cite this article
Gorodetskii, V.G. Boundedness of solutions and asymptotic properties of some systems of differential equations. Ukr Math J 46, 1035–1038 (1994). https://doi.org/10.1007/BF01056681
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01056681