Geodesic
On the Non-Existence of Conjugate Points
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 31-37

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In this paper we consider the types of pairs of multiple zeros which a solution to the differential equation can possess on an interval I of the real line. The results obtained generalize those in [2] and (for n = 3) in [3].I. Let f satisfy the condition 1.1 for all t ∊ I, u0 ≠ 0, and all u 1, ... u n-1. 
Butler, G. J.; Erbe, L. H.; Mathsen, R. M. On the Non-Existence of Conjugate Points. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 31-37. doi: 10.4153/CMB-1970-006-x
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     title = {On the {Non-Existence} of {Conjugate} {Points}},
     journal = {Canadian mathematical bulletin},
     pages = {31--37},
     year = {1970},
     volume = {13},
     number = {1},
     doi = {10.4153/CMB-1970-006-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-006-x/}
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