Perturbing evolutionary systems by step responses and cumulative outputs

Odo Diekmann; Mats Gyllenberg; Horst R. Thieme; Glenn Webb

Perturbing evolutionary systems by step responses and cumulative outputs

Odo Diekmann, Mats Gyllenberg, Horst R. Thieme, Glenn Webb

Research output: Contribution to journal › Article › Academic › peer-review

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 language	English
Pages (from-to)	1205-1244
Number of pages	40
Journal	Differential and Integral Equations
Volume	8
Issue number	5
Publication status	Published - May 1995
Externally published	Yes

Cite this

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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 Thieme, {Horst R.} and Glenn Webb",

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AU - Diekmann, Odo

AU - Gyllenberg, Mats

AU - Thieme, Horst R.

AU - Webb, Glenn

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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.

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AN - SCOPUS:84972545683

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VL - 8

SP - 1205

EP - 1244

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 5

ER -

Perturbing evolutionary systems by step responses and cumulative outputs

Abstract

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