J Austral Math Soc Ser A 59 pp1--7, 1995.

Instability Theorems for certain nth order Differential Equations

Li Wen-Jian and Duan Kui-Chen

(Received 14 July 1990; revised 22 May 1992)

Abstract

In this paper we study the instability of certain nth order differential equations by means of Liapunov's functions and obtain some sufficient conditions for the equations being unstable. A method of constructing Liapunov's function for instability is being perfected. In particular the problem Ezeilo posed in 1982 has been resolved to some extent.

1991 AMS Subject Classification: 30D20

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Authors

Li Wen-Jian: Xinjiang Bayi Agricultural College, Urumqi, China.
Duan Kui-Chen: Xinjiang University, Urumqi, China.

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Last Modified: Thu Jan 9 9:04:24 2003