Perturbing evolutionary systems by step responses and cumulative outputs

Odo Diekmann, Mats Gyllenberg, Horst Thieme, Glenn Webb

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number5
StatePublished - May 1995

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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