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| In the talk will be investigated a linear differential equation with advanced argument $\dot x(t)=c(t)x(t+\tau)$ where $\tau>0$ and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in R$ is bounded and locally Lipschitz continuous. New explicit criteria for the existence of a positive solution in terms of $c$ and $\tau$ will be presented. An overview of known relevant criteria will be given together with relevant comparisons. |
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