Articles with "renewal equation" as a keyword



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One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics

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Published in 2021 at "Acta Applicandae Mathematicae"

DOI: 10.1007/s10440-021-00440-3

Abstract: Despite their relevance in mathematical biology, there are, as yet, few general results about the asymptotic behaviour of measure valued solutions of renewal equations on the basis of assumptions concerning the kernel. We characterise, via… read more here.

Keywords: solution; renewal equation; renewal; measure valued ... See more keywords
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Optimal control of nonlinear renewal equation

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Published in 2021 at "International Journal of Control"

DOI: 10.1080/00207179.2019.1600032

Abstract: In this article, we study the optimal control for a nonlinear renewal equation popularly known as McKendrick–von Foerster (MV) equation. We establish necessary optimality conditions using the concept of normal cone. Finally, we prove the… read more here.

Keywords: renewal equation; control; nonlinear renewal; optimal control ... See more keywords