Systems-Disconjugacy of a Fourth-Order Differential Equation with a Middle Term

Abstract

Systems-conjugate points have been introduced and studied by John Barrett \cite{barr} in relation with the self-adjoint fourth order differential equation $$(r(x)y")"-(q(x)y^{\prime }{)}^{\prime }=p(x)y,$$ where $r(x)>0$, $p(x)>0$ and $q\equiv 0$. In this paper we extend some of his results to more general cases, when $q(x)$ is free of any sign restrictions.

arXiv comment13 pages, 0 figures