ABSTRACT
Chapter 5 deals with nonlinear FDE with aftereffect. The procedure of applying Testability to these equations is presented in Section 5.1. A number of theorems are cited, that extend to FDE with aftereffect the Lyapunov theorem on stability relative to the linear approximation. Several examples of special scalar quasilinear FDE with aftereffect are treated, including the neutral type equations and “equation with maximums” where the nonlinear part of the equation relates to the maximum of solution over some interval.
