I have a equation $M\dot y(t)=y(t)+Kp(t)$ where $M$ is a nilpotent matrix of degree $m$ say, $K$ is some matrix of suitable order, my question is if $y(0)\ge 0$ lies in the positive ortant , $p(t)\ge 0\forall t\in\mathbb{R}$, under what conditions all trajectories emanating from any point from th...