3 problems

Let $I$ be the parameter interval for which the delay equation has no stable steady state or stable periodic solution. For $\phi\in C([-1,0],\mathbb{R})$, let $v_\beta(t;\phi)$ sol…

Let $I$ be the parameter interval for which the delay equation has no stable steady state or stable periodic solution. For $\phi\in C([-1,0],\mathbb{R})$, let $v_\beta(t;\phi)$ sol…

Zero-mean conjecture. For every such $\phi$ and every $\beta\in I$, $\mu(\beta;\phi)=0$. The authors state that this is unproved for irregular solutions; it holds for symmetric per…