On continuability of solutions of second order differential equations.

Burton, T.; Grimmer, R.

doi:10.1090/S0002-9939-1971-0277808-0

On continuability of solutions of second order differential equations.
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by T. Burton and R. Grimmer

Proc. Amer. Math. Soc. 29 (1971), 277-283

DOI: https://doi.org/10.1090/S0002-9939-1971-0277808-0

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Abstract:

An equation (1) $x'' + a(t)f(x) = 0$ together with some generalizations are considered. We give necessary and sufficient conditions in order that (1) have solutions which are not continuable in a certain fashion whenever $a(t)$ becomes negative.

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