This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Vibrations, Fizmatgiz, Moscow (1963).
Z. C. Van-Dan', “A Lyapunov criterion for stability of motion”, Differentsial'nye Uravneniya,4, No. 3 (1968).
V. I. Zubov, Mathematical Investigation Methods of Automatic Control Systems, Sudpromgiz, Leningrad (1959).
N. N. Krasovskii, Problems of Stability of Motion, Fizmatgiz, Moscow (1959).
V. V. Laricheva, “Averaging a class of systems of nonlinear differential equations”, Differentsial'nye Uravneniya,2, No. 3 (1966).
S. M. Lozinskii, “Error estimate for an approximate solution of a system of ordinary differential equations”, Dokl. Akad. Nauk SSSR,92, No. 2 (1953).
I. G. Malkin, Theory of Stability of Motion, Nauka, Moscow (1966).
A. A. Martynyuk, “Stability of nonsteady motion on a given time interval”, Prikl. Mekh.,3, No. 5 (1967).
A. A. Martynyuk, “(A, λ)-estimates of Chetaev for approximate integrations”, Dokl. Akad. Nauk SSSR, Ser. A, No. 4 (1969).
K. P. Persidskii, “A Lyapunov theorem” Dokl. Akad. Nauk SSSR,14, No. 9 (1937).
B. A. Fuks, Theory of Analytic Functions of Several Complex Variables, GITTL, Moscow (1948).
N. G. Chetaev, “Estimates of approximate integrations” Prikl. Matem. i Mekh.,21, No. 3 (1967).
Institute of Hydromechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 5, No. 12, pp. 39–46, December, 1969.
About this article
Cite this article
Martynyuk, A.A. Stability of approximate solution of nonlinear systems. Soviet Applied Mechanics 5, 1286–1291 (1969). https://doi.org/10.1007/BF01108734
- Nonlinear System
- Approximate Solution