an:00763463
Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
Perturbing evolutionary systems by step responses and cumulative outputs
EN
Differ. Integral Equ. 8, No. 5, 1205-1244 (1995).
00026215
1995
j
47D99 47E05 45N05 92D25
perturbation theory for strongly continuous backward evolutionary systems and their adjoint systems; operator families; step responses; cumulative outputs; abstract Stieltjes integral equation of nonconvolution type
Summary: We develop a perturbation theory for strongly continuous backward evolutionary systems and their adjoint systems. The theory is not based on generating families but on certain operator families called step responses and cumulative outputs. The perturbation problem is reduced to solving an abstract Stieltjes integral equation of nonconvolution type. The theory is well suited for treating structured population models.