Author： Colombo Rinaldo M. Gwiazda Piotr Rosińska Magdalena
Publisher： Edp Sciences
E-ISSN： 1262-3377|24|1|377-399
ISSN： 1292-8119
Source： ESAIM: Control, Optimisation and Calculus of Variations, Vol.24, Iss.1, 2018-05, pp. : 377-399
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Abstract
The Escalator Boxcar Train (EBT) is a tool widely used in the study of balance laws motivated by structure population dynamics. This paper proves that the approximate solutions defined through the EBT converge to exact solutions. Moreover, this method is rigorously shown to be effective also in computing optimal controls. As preliminary results, the well posedness of classes of PDEs and of ODEs comprising various biological models is also obtained. A specific application to welfare policies illustrates the whole procedure.
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