REFERENCES
Zaitsev, V.V., Differents. Uravn., 1993, vol. 29, no.5, pp. 766-772.
Kamenkov, G.V., Prikl. Mat. Mekh., 1953, vol. 17, no.5, pp. 529-540.
LaSalle, J.P. and Lefshetz, S., Stability by Liapunov's Direct Method with Applications, New York, 1961.
Yoshizawa, T., Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, New York, 1975.
Gard, T.C., Applicable Anal., 1980, vol. 10, pp. 285-293.
Fernandes, M.L. and Zanolin, F., J. of Math. Anal. and Appl., 1987, vol. 128, pp. 176-188.
Harrison, G.P., Nonlin. Anal. Theory, Meth. &; Apll., 1979, vol. 1, pp. 73-80.
Butler, G. and Waltman, P., J. of Differ. Equat., 1986, vol. 63, pp. 255-263.
Veretennikov, V.G. and Zaitsev, V.V., Prikl. Mat. Mekh., 1982, vol. 44, no.5, pp. 753-761.
Veretennikov, V.G. and Zaitsev, V.V., Vtoroi metod Lyapunova. Otsenki oblasti ustoichivosti i prityazheniya (Second Lyapunov Method. Estimates of Stability and Attraction Domains), Moscow, 1986.
Nemytskii, V.V., Uspekhi Mat. Nauk, 1965, vol. 20, no.2, pp. 3-36.
Butkovskii, A.G., Fazovye portrety upravlyaemykh dinamicheskikh sistem (Phase Portraits of Controlled Dynamical Systems), Moscow, 1985.
Zaitsev, V.V., Avtomat. Telemekh., 1993, no. 5, pp. 63-72.
York, J.A., Math. Syst. Theory, 1971, vol. 4, no.1, pp. 40-43.
Chetaev, N.G., Dokl. Akad. Nauk SSSR, 1934, vol. 1, no.9, pp. 219-226.
Rouche, N., Habets, P., and Laloy, M., Stability Theory by Liapunov's Direct Method, New York: Springer, 1977. Translated under the title Pryamoi metod Lyapunova v teorii ustoichivosti, Moscow, 1980.
Barbashin, E.A., Funktsii Lyapunova (Lyapunov Functions), Moscow, 1970.
Zaitsev, V.V., Algoritmy nakhozhdeniya i otsenki oblasti prityazheniya (Algorithms of Finding and Estimating the Attraction Domain), Deposited in VINITI, Moscow, 1982, no. 1504-82.
Zaitsev, V.V. and Sklyanskaya, L.B., Postroenie oblasti parametricheskoi ustoichivosti dlya nelineinykh sistem (Construction of the Domain of the Parametric Stability for Nonlinear Systems), Deposited in VINITI, Moscow, 1986, no. 849-V86.
Laksmikantham, V., Nonlin. Anal. Theory Meth. Appl., 1977, vol. 1, no.3, pp. 215-222.
Malikov, A.I., Dinamika nelineinykh sistem (Dynamics of Nonlinear Systems), Novosibirsk, 1983, pp. 215-222.
Sabaev, E.F., Sistemy sravneniya dlya nelineinykh differentsial'nykh uravnenii i ikh prilozheniya v dinamike yadernykh reaktorov (Comparison Systems for Nonlinear Differential Equations and Their Applications in Dynamics of Nuclear Reactors), Moscow, 1980.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zaitsev, V.V. Construction and Localization of Quasiinvariant Sets of Dynamical Systems. Differential Equations 38, 10–14 (2002). https://doi.org/10.1023/A:1014887006078
Issue Date:
DOI: https://doi.org/10.1023/A:1014887006078