Linear differential equations where nonoscillation is equivalent to eventual disconjugacy

Ridenhour, Jerry R.

doi:10.1090/S0002-9939-1975-0364759-X

Linear differential equations where nonoscillation is equivalent to eventual disconjugacy
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Proc. Amer. Math. Soc. 49 (1975), 366-372 Request permission

Abstract:

Conditions on $n$th order linear differential equations are given which imply that nonoscillation is equivalent to eventual disconjugacy. These conditions are in the form of assumptions that certain boundary-value functions are infinite for all values of the argument.

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