The Existence of Continuable Solutions of a Second Order Differential Equation

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Abstract
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.

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