References
M. Basti, “On asymptotic equivalence between two nonlinear parametric systems with a small parameter,” J. Math. Anal. Appl.,99, No. 1, 65–79 (1984).
E. V. Voskresenskiî, Comparison Methods in Nonlinear Analysis [in Russian], Saratov. Univ., Saratov (1990).
E. V. Voskresenskiî, “Asymptotic equivalence of nonlinear differential equations,” Izv. Vyssh. Uchebn. Zaved. Mat.,12, 72–74 (1987).
E. V. Voskresenskiî, “On certain equivalence relations for differential equations,” Ukrain. Mat. Zh.,41, No. 7, 878–885 (1989).
N. N. Bogolyubov and Yu. A. Mitropol'skiî, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian] Izdat. AN SSSR, Moscow (1963).
Additional information
Saransk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 2, pp. 52–61, March–April, 1993.
Translated by G. V. Dyatlov
Rights and permissions
About this article
Cite this article
Voskresenskiî, E.V. The direct Lyapunov method in the theory of asymptotic equivalence for differential equations. Sib Math J 34, 242–250 (1993). https://doi.org/10.1007/BF00970949
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970949