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An instability theorem for a certain sixth order differential equation

Part of: Stability theory

Published online by Cambridge University Press:  09 April 2009

J. O. C. Ezeilo
J. O. C. Ezeilo
Affiliation:
University of Nigeria, Nsukka, Nigeria
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Abstract

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The object of the paper is to establish an instability theorem for sixth order differential equations of the form (1.1). The proof is based on the use of Krasovskii criteria.

MSC classification

Secondary: 34D99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 1 , January 1982 , pp. 129 - 133
Copyright
Copyright © Australian Mathematical Society 1982

References

Ezeilo, J. O. C. (1978), ‘Instability theorems for certain fifth order differential equations,’ Math. Proc. Cambridge Philos. Soc. 84, 343–350.Google Scholar
Krasovskii, N. N. (1955), ‘Conditions for the converse of Lyapunov theorems oninstability for stationary systems of differential equations’ Dokl. Akad. Nauk SSSR 101, 17–20.Google Scholar