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Convergence in asymptotically autonomous functional differential equations. (English) Zbl 0936.34064
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.
MSC:
34K25Asymptotic theory of functional-differential equations
34K20Stability theory of functional-differential equations