一阶线性时滞微分不等式

First Order Linear Differential Inequlities

研究了一阶线性时滞微分不等式 x′(t) +p(t) x(τ(t) )≤ 0正解的不存在性 ,其中 p(t) ,τ(t)∈ C([t0 ,∞ ) ,[0 ,∞ ) ) ,τ(t)≤ t。

In this paper, the nonexistence of eventually positive solutions of the first order linear delay differential inequality \$x′(t)+p(t)x(τ(t))≤0\$ is investigated, where \$p(t) , τ(t)∈C([t\-0,∞),[0,∞)),τ(t)≤t.\$ The obtained sufficient conditions im prove many known results in the literature.