## Differential and Integral Equations

### Exact controllability of a nonlinear population-dynamics problem

#### 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