RT Journal Article
T1 Characterization of non-disconjugacy for a one parameter family of n-th order linear differential equations
A1 Cabada Fernández, Alberto
A1 Saavedra López, Lorena
K1 Disconjugacy
K1 Green's functions
K1 Spectral theory
AB The aim of this paper is to obtain different criteria which allow us to  affirm that the one parameter family of   $n^{\mathrm{th}}-$order linear differential equations, given by the following expression\[			T_n[M]\,u(t) \equiv u^{(n)}(t)+a_1(t)\, u^{(n-1)}(t)+\cdots +a_{n-1}(t)\, u'(t)+(a_{n}(t)+M)\,u(t)=0 \,,\quad t\in I\equiv[a,b]\,,\]		is not disconjugate for every $M\in \mathbb{R}$.			Three different sufficient criteria, which ensure that such property holds, are presented. Moreover, a characterization of this property is given.						To finish the paper, three examples, where the different criteria are applied, are shown.
PB Elsevier
SN 0893-9659
YR 2017
FD 2017-03
LK https://hdl.handle.net/10347/45452
UL https://hdl.handle.net/10347/45452
LA eng
NO Alberto Cabada, Lorena Saavedra, Characterization of non-disconjugacy for a one parameter family of nth-order linear differential equations, Applied Mathematics Letters, Volume 65, 2017, Pages 98-105, ISSN 0893-9659, https://doi.org/10.1016/j.aml.2016.10.010. 
DS Minerva
RD 27 abr 2026