Perturbing evolutionary systems by step responses and cumulative outputs

Odo Diekmann, Mats Gyllenberg, Horst Thieme, Glenn Webb

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1205-1244
Number of pages40
JournalDifferential and Integral Equations
Volume8
Issue number5
StatePublished - 1995

Fingerprint

Step Response
Step response
Integral equations
Stieltjes Integral
Adjoint System
Structured Populations
Output
Population Model
Perturbation Theory
Integral Equations
Perturbation
Operator
Family

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Perturbing evolutionary systems by step responses and cumulative outputs. / Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst; Webb, Glenn.

In: Differential and Integral Equations, Vol. 8, No. 5, 1995, p. 1205-1244.

Research output: Contribution to journalArticle

Diekmann, Odo ; Gyllenberg, Mats ; Thieme, Horst ; Webb, Glenn. / Perturbing evolutionary systems by step responses and cumulative outputs. In: Differential and Integral Equations. 1995 ; Vol. 8, No. 5. pp. 1205-1244.
@article{3bc0f0aa674f4ef091a62bad264cf8ff,
title = "Perturbing evolutionary systems by step responses and cumulative outputs",
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.",
author = "Odo Diekmann and Mats Gyllenberg and Horst Thieme and Glenn Webb",
year = "1995",
language = "English (US)",
volume = "8",
pages = "1205--1244",
journal = "Differential and Integral Equations",
issn = "0893-4983",
publisher = "Khayyam Publishing, Inc.",
number = "5",

}

TY - JOUR

T1 - Perturbing evolutionary systems by step responses and cumulative outputs

AU - Diekmann, Odo

AU - Gyllenberg, Mats

AU - Thieme, Horst

AU - Webb, Glenn

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84972545683&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972545683&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972545683

VL - 8

SP - 1205

EP - 1244

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 5

ER -