Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay (Q2676537)

The paper studies uniqueness of solutions and linearized stability for the impulsive vector nonlinear equation with state-dependent delay \[ x'(t)=f(t,x(t),x(t-\tau(x(t))),\quad t\neq t_k, \] \[ \Delta x(t)=g(t,x_{t^-}),\quad t=t_k. \] Uniqueness of solutions was obtained by a Winston-type condition on the state-dependent delay.