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Instability results for fourth order differential equations

Published online by Cambridge University Press:  14 November 2011

W. A. Skrapek
Affiliation:
Saskatoon, Saskatchewan, Canada

Synopsis

In this paper we give sufficient conditions (Theorems 1 and 2) for the instability of the fourth order differential equation

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

1Ezeilo, J. O. C.. An instability theorem for a certain fourth order differential equation. Bull. London Math. Soc. 10 (1978), 184185.CrossRefGoogle Scholar
2Krasovskii, N. N.. On conditions of inversion of A. M. Lyapunov's theorems on instability for stationary systems of differential equations. Dokl. Akad. Nauk SSSR 101 (1955), 1720.Google Scholar