Comparison Theorem for Conjugate Points of a Fourth-order Linear Differential Equation

Canadian mathematical bulletin

Jamel Ben Amara¹ 

[1] Faculté des Sciences de Bizerte, Tunisia

关键词: fourth-order linear differential equation;    conjugate points;    system-conjugate points;    subwronskians;   

DOI  :  10.4153/CMB-2011-159-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In 1961, J. Barrett showed that if the first conjugate point$eta_1(a)$ exists for the differential equation $(r(x)y'')''=p(x)y,$ where $r(x)gt 0$ and $p(x)gt 0$, then so does the firstsystems-conjugate point $widehateta_1(a)$. The aim of this note is toextend this result to the general equation with middle term$(q(x)y')'$ without further restriction on $q(x)$, other thancontinuity.

【 授权许可】

Unknown