An oscillation criterion for first order linear delay differential equations

Canadian mathematical bulletin

关键词: Delay differential equation;    oscillation;   

DOI  :  10.4153/CMB-1998-030-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A new oscillation criterion is given for the delay differentialequation $x'(t)+p(t)x left(t-au(t)ight)=0$, where $p$, $au in C left([0,infty),[0,infty)ight)$ and the function$T$ defined by $T(t)=t-au(t)$, $tge 0$ is increasing and suchthat $lim_{toinfty}T(t)=infty$. This criterion concerns thecase where $liminf_{toinfty} int_{T(t)}^{t}p(s),dslefrac{1}{e}$.

【 授权许可】

Unknown