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On$U'' + (1 + \lambda g(x))u = 0 \text{for} \int^\infty_0\|..:

Kemp, R. R. D. ; Levinson, Norman
Proceedings of the American Mathematical Society.  10 (1959)  1 - p. 82-86 , 1959
Link: https://www.jstor.org/stable/2032892