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The Existence of Continuable Solutions of a Second Order Differential Equation

Published online by Cambridge University Press:  20 November 2018

G. J. Butler
G. J. Butler*
Affiliation:
University of Alberta, Edmonton, Alberta
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Abstract

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A much-studied equation in recent years has been the second order nonlinear ordinary differential equation

where q and f are continuous on the real line and, in addition, f is monotone increasing with yf(y) > 0 for y ≠ 0. Although the original interest in (1) lay largely with the case that q﹛t) ≧ 0 for all large values of t, a number of papers have recently appeared in which this sign restriction is removed.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 472 - 479
Copyright
Copyright © Canadian Mathematical Society 1977

References

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