Convergence in asymptotically autonomous functional differential equations
The authors consider linear and nonlinear perturbations of a linear autonomous functional-differential equation which has infinitely many equilibria. They give sufficient conditions under which the solutions to the perturbed equation tend to the equilibria to the unperturbed equation at infinity. As a consequence, they obtain sufficient conditions for systems of delay differential equations to have an asymptotic equilibrium.
scientific article; zbMATH DE number 1348155