Abstract
The paper deals with the development of the theory of boundedness in part of the variables of solutions to systems of differential equations, which is in fact a version of the Lyapunov direct method in the theory of stability.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Yoshizawa, “Liapunovs function and boundedness of solutions,” Funckcial. Ekvas. 2, 95–142 (1959); Russian transl. in Matematika 5, 95–127 (1965).
V. V. Rumyantsev and A. S. Oziraner, Stability and Stabilization of Motion with Respect to Some of the Variables (Nauka, Moscow, 1987) [in Russian].
V. I. Vorotnikov and Yu. G. Martyshenko, “On the theory of partial stability of nonlinear dynamical systems,” Izv. Ross. Akad. Nauk Teor. Sist. Upr., No. 5, 23–31 (2010) [J. Comput. Syst. Sci. Int. 49 (5), 702–709 (2010)].
N. Rouche, P. Habets, and M. Laloy, Stability Theory by Liapunov’s Direct Method (Springer, New York, 1977; Mir, Moscow, 1980).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © K. S. Lapin, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 3, pp. 393–405.
Rights and permissions
About this article
Cite this article
Lapin, K.S. Uniform boundedness in part of the variables of solutions to systems of differential equations with partially controllable initial conditions. Math Notes 96, 369–378 (2014). https://doi.org/10.1134/S0001434614090090
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434614090090