This article is cited in 13 papers

MATHEMATICS

Disconjugacy of solutions of linear differential equations

V. Ya. Derr

Udmurt State University

Abstract: 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.

UDC: 517.2+517.5

MSC: 34K11

Received: 01.09.2008

DOI: 10.20537/vm090103

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