Abstract
In this paper, we give some sufficient conditions of the instability for the fourth order linear differential equation with varied coefficient, at least one of the characteristic roots of which has positive real part, by means of Liapunov's second method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Qin Yuan-xun, Wang Lian and Wang Mu-qiu, Motive stability of dynamic system for slowly changing coefficients,Scientia Sinica, Monograph (I) (1979). (in Chinese).
Barbashin, E. A., Liapunov's function,National Math. Phys., Publishing House, 1970. (in Russian).
Qin Yuan-xun, Wang Mu-qiu and Wang Lian,Motive Stability Theory and Application, Science Press (1981). (in Chinese).
Author information
Authors and Affiliations
Additional information
Communicated by Zhang Shi-sheng
Project supported by Provincial Science and Technology Foundation of Guizhou.
Rights and permissions
About this article
Cite this article
De-yuan, L., Zong-huang, L. Instability of solution for the fourth order linear differential equation with varied coefficient. Appl Math Mech 14, 481–497 (1993). https://doi.org/10.1007/BF02453769
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02453769