Approximation of abstract functional differential equations with unbounded delay
The abstract Cauchy problem with infinite delay \(x'(t) = Ax(t) + F(t, x_t)\), \(x_0 = \varphi\) in a Banach space is investigated and a method of approximation of its solution with the solutions of equations with bounded delay is developed. An emphasis on the existence of periodic solutions is given.
abstract Cauchy problem with infinity delay
scientific article; zbMATH DE number 903315