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On uniqueness and continuability of the Emden–Fowler equation

Published online by Cambridge University Press:  09 April 2009

Man Kam Kwong
Man Kam Kwong
Affiliation:
Hong Kong Baptist College, 224, Waterloo Road, Kowloon, Hong Kong.
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Abstract

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The Emden-Fowler equation x″(t) + a(t)|x|γ sgn x = 0, t ≧ 0, is said to be in the sublinear or superlinear case according to whether γ < 1 or γ > 1. Conditions on a(t) are given to ensure local uniqueness of solutions in the sublinear case and continuability of solutions in the superlinear case. Boundedness of solutions is also studied.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 1 , August 1977 , pp. 121 - 128
Copyright
Copyright © Australian Mathematical Society 1977

References

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