5 problems

The discussion concerns a family of linear ordinary differential equations exhibiting a singular perturbation, meaning that for certain parameter values the leading coefficient van…

Non-oscillation conjecture. The same conclusion holds for all $p>1$ and $q>1$.

Let $s\in[1,2]$ be arbitrary. Consider the delay differential equation (1), with coefficient $c(t)$ and delay function $\Greekmath 011C (t)$ satisfying the assumptions in (10a), an…

Consider the delay differential equation (1), with coefficient $c(t)$ and delay function $\Greekmath 011C (t)$ satisfying the assumptions in (10a). Assume that $c(t)\leq 0$ for…

Optimal constant conjecture. The optimal constant in the upper bound should be $1$, so that