Geodesic
The Existence of Continuable Solutions of a Second Order Differential Equation
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 472-479

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Butler, G. J. The Existence of Continuable Solutions of a Second Order Differential Equation. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 472-479. doi: 10.4153/CJM-1977-051-7
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