Mackey-Glass type delay differential equations near the boundary of absolute stability

E. Liz, E. Trofimchuk, S. Trofimchuk

For equations $x^{\prime }(t)=-x(t)+\zeta f(x(t-h)),x\in \mathbb{R},f^{\prime }(0)=-1,\zeta >0,$ with $C^3$-nonlinearity $f$ which has negative Schwarzian derivative and satisfies $xf(x)<0$ for $x\ne 0$…