Differential and Integral Equations

Perturbing evolutionary systems by step responses and cumulative outputs

Odo Diekmann, Mats Gyllenberg, and Horst R. Thieme

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 8, Number 5 (1995), 1205-1244.

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369056052

Mathematical Reviews number (MathSciNet)
MR1325554

Zentralblatt MATH identifier
0834.47043

Subjects
Primary: 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]
Secondary: 34G10: Linear equations [See also 47D06, 47D09] 47N20: Applications to differential and integral equations 92D25: Population dynamics (general)

Citation

Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. Perturbing evolutionary systems by step responses and cumulative outputs. Differential Integral Equations 8 (1995), no. 5, 1205--1244. https://projecteuclid.org/euclid.die/1369056052


Export citation