Geodesic
Disconjugacy Criteria for Nonselfadjoint Differential Equations of Even Order
Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 644-652

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Disconjugacy criteria have been established for linear selfadjoint differential equations of order 2n by Sternberg [4] and Ahlbrandt [1]. Such differential equations can be written in the form 1.1 where it is assumed that the coefficients are real and that Pn (x) ≠ 0. We shall be interested in nontrivial solutions v(x) of (1.1), which satisfy 1.2 for distinct points α and β. The smallest β> α such that (1.2) is satisfied nontrivially by a solution of (1.1), is denoted by μ 1(α) and called the first conjugate point of x = α with respect to (1.1). If no such conjugate point exists we write μ 1(α) = ∞, and say that (1.1) is disconjugate on [α, ∞).The principal purpose of this paper is to generalize these disconjugacy criteria to the general linear nonselfadjoint differential equation of the form 1.3 
Kreith, Kurt. Disconjugacy Criteria for Nonselfadjoint Differential Equations of Even Order. Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 644-652. doi: 10.4153/CJM-1971-071-7
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