Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
The nonlinear autonomous functional differential equation x(t) = f(x(t)) + g(x,), t > 0, x0 = <f> is investigated by means of the theory of semigroups of nonlinear operators.The properties of the semigroup associated with this equation provide stability information about the solutions.