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Fundamental properties of differential equations with dynamically defined delayed feedback
Electronic Journal of Qualitative Theory of Differential Equations
We consider an initial value problem for nonautonomous functional differential equations where the delay term is defined via the solution of another system of differential equations. We obtain the general existence and uniqueness result for the initial value problem by showing a Lipschitz property of the dynamically defined delayed feedback function and give conditions for the nonnegativity of solutions. We determine the steady-state solution of the autonomous system and obtain the linearizeddoi:10.14232/ejqtde.2013.1.17 fatcat:ute6up3uifcu5nn3vjjkustexu