3 problems

Consider the scalar delay differential equation … under conditions (W), with the trivial solution and its local asymptotic stability understood as in the paper. Smith and Wright's…

Global-stability conjecture. The natural equilibrium $X_+^{**}$ is globally asymptotically stable relative to $\mathcal P_+$: $\mathcal P_+$ is positively invariant, $X_+^{**}$ is…

Let $u_*\equiv 0$ denote the trivial steady state of the nonlinear problem \, let $\mathcal{Y}$ be the parameter space, and let $\mathcal{R}:\mathcal{Y}\to\mathbb{R}$ be the net…