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On the differential equations for tide-well systems

Published online by Cambridge University Press:  17 April 2009

A. Brown
A. Brown
Affiliation:
Australian National University, Canberra, ACT.
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Abstract

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The paper discusses the differential equation

from a fresh point of view, to supplement an earlier discussion by Noye. In particular, for n = 1 the equation can be transformed to the equation for a pendulum with viscous damping, with corresponding to critical damping. At the end of the paper, some related equations are considered.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 175 - 185
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Drummond, J.E., “An existence theorem for differential equations”, Bull. Austral. Math. Soc. 3 (1970), 265–268.Google Scholar
[2]Hale, Jack K., Ordinary differential equations (Wiley-Interscience, New York, London, Sydney, Toronto, 1969).Google Scholar
[3]Noye, B.J., “On a class of differential equations which model tide-well systems”, Bull. Austral. Math. Soc. 3 (1970), 391–411.CrossRefGoogle Scholar
[4]Stoker, J.J., Nonlinear vibrations in mechanical and electrical systems (Interscience, New York, London, 1950).Google Scholar