Differential and Integral Equations

Exact controllability of a nonlinear population-dynamics problem

Bedr'Eddine Ainseba and Mimmo Iannelli

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Abstract

The exact controllability of two nonlinear population dynamics problems is established. The first problem is age structured, and the control corresponds to a supply of individuals on a small age interval. The second one is age and space structured and the control corresponds to a supply of individuals on a small subdomain $\omega$ of the whole space domain $\Omega$. The method is based on a uniform observability result for the backward nonlocal adjoint system and on Kakutani's fixed-point theorem.

Article information

Source
Differential Integral Equations, Volume 16, Number 11 (2003), 1369-1384.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060514

Mathematical Reviews number (MathSciNet)
MR2016687

Zentralblatt MATH identifier
1074.93010

Subjects
Primary: 93B05: Controllability
Secondary: 35Q80: PDEs in connection with classical thermodynamics and heat transfer 92D25: Population dynamics (general)

Citation

Ainseba, Bedr'Eddine; Iannelli, Mimmo. Exact controllability of a nonlinear population-dynamics problem. Differential Integral Equations 16 (2003), no. 11, 1369--1384. https://projecteuclid.org/euclid.die/1356060514


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