Geodesic
Disconjugacy of solutions of linear differential equations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2009), pp. 46-89

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It is an expository article devoted to the disconjugacy theory for decisions of the homogeneous differential equation of $n$-th order. We give new proofs of some basic results of this theory, such as sufficient conditions for disconjugacy, some implications from disconjugacy, properties of disconjugate equations. We also give new sufficient conditions of disconjugacy for second order differential equations.
Keywords: disconjugacy, conjugate points, factorization, generalized Rolle's Theorem, multi-point Vallee Poussin's boundary value problem, Green's function. 
@article{VUU_2009_1_a2,
     author = {V. Ya. Derr},
     title = {Disconjugacy of solutions of linear differential equations},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {46--89},
     publisher = {mathdoc},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_1_a2/}
}
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V. Ya. Derr. Disconjugacy of solutions of linear differential equations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2009), pp. 46-89. http://geodesic.mathdoc.fr/item/VUU_2009_1_a2/