Neutral equations and associated semigroups. (English) Zbl 0817.34037
Semigroup representations of hereditary functional equations are studied. In particular, the results deal with the neutral functional equation \({d\over dt} D_ t x= Lx_ t+ f(t)\), where \(L\in \beta(C([-1, 0], \mathbb{R}^ n))\) and \(D\) denotes Hale’s operator.
Reviewer: M.Kisielewicz (Zielona Gora)
MSC:
34K05 | General theory of functional-differential equations |
34K40 | Neutral functional-differential equations |
47H20 | Semigroups of nonlinear operators |