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10.—The Area-function for Non-linear Second-order Oscillations

Published online by Cambridge University Press:  14 February 2012

F. V. Atkinson
F. V. Atkinson
Affiliation:
Department of Mathematics, University of Toronto.
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Extract

This paper is concerned with the rate of growth or decline as t → ∞ of oscillatory solutions of equations of the form

we have in mind equations which resemble in some degree the Lane-Emden-Fowler equation

where n ≧ is integral, and σ is either positive, or if negative is not too large, so that oscillatory solutions exist.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 2 , 1974 , pp. 135 - 147
Copyright
Copyright © Royal Society of Edinburgh 1974

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References

References to Literature

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