Global stability for a class of delay differential equations.
The paper is concerned with the study of the behavior of solutions of the delay differential equation \[ {\dot x}(t) = \alpha f(x(t-1)), x(t) = x^0(t) \quad\text{for }t \in [-1, 0] \] where \(\alpha \geq 0\) and \(f\) is a continuously differentiable unimodal mapping with \(f(0)=f(1)=0\). The author gives sufficient conditions for the nonnegativity of solutions of the equation and for the global stability of the solutions.
scientific article; zbMATH DE number 2138626