Linearized stability in periodic functional differential equations with state-dependent delays

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Global Hopf bifurcation for differential equations with state-dependent delay (2010, background): “Other applications of the system of auxiliary equations obtained through a formal linearization process can be found in [8,10,17,19].”
Criticality of Hopf bifurcation in state-dependent delay model of turning processes (2008, methodology): “Linear stability analysis of the state-dependent delay model of turning process was given in [17] using the technique of Hartung and Turi [22].”
State-dependent delay in regenerative turning processes (2006, unknown): “In Hartung and Turi [24] (see Theorem 3.3 on page 423), under very non-restrictive conditions on the SDDDE, it was shown that the asymptotic stability of the trivial solution of the associated linearized equation implies the asymptotic stability of a constant steadystate solution of the original equ”
Existence results for impulsive evolution differential equations with state-dependent delay. (2008, background): “There exists a extensive literature for ordinary state-dependent delay equations, see among another works, [2, 1, 3, 4, 6 , 7, 8]. The study of partial dierential equations with state dependent delay have been initiated recently, and concerning this matter we cite the pioneer works Rezounenko et al”