On Continuability of Solutions of Second Order Differential Equations

T. Burton, R. Grimmer
1971 Proceedings of the American Mathematical Society  
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.
doi:10.2307/2038127 fatcat:civns4jtxvfvbap2e76wntz5pu