Linearized stability in periodic functional differential equations with state-dependent delays
The author investigates the equation \[ \dot x (t)=f(t,x(t), x(t-\tau (t,x_t))), \] where \(f\) is smooth enough, and \(f, \tau\) are \(T\)-periodic with respect to \(t\). He gives a sufficient condition for the exponential stability of a \(T\)-periodic solution of the equation by the method of linearization.
scientific article; zbMATH DE number 2137426
scientific article