ABSTRACT

Let τ ≥ 0, let X be a real Banach space, let A :D(A) ⊆ X X be an mdissipative operator generating a nonlinear semigroup of contractions denoted by {S(t) : D(A)→ D(A); t ∈ R+}, and let us denote by

X = C([−τ, 0 ];X) and D = {ϕ ∈ X; ϕ(0) ∈ D(A)}.