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1995 Perturbing evolutionary systems by step responses and cumulative outputs
Odo Diekmann, Mats Gyllenberg, Horst R. Thieme
Differential Integral Equations 8(5): 1205-1244 (1995).

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.

Citation

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Odo Diekmann. Mats Gyllenberg. Horst R. Thieme. "Perturbing evolutionary systems by step responses and cumulative outputs." Differential Integral Equations 8 (5) 1205 - 1244, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0834.47043
MathSciNet: MR1325554

Subjects:
Primary: 47D06
Secondary: 34G10, 47N20, 92D25

Rights: Copyright © 1995 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.8 • No. 5 • 1995
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