Positively Invariant Subset for Non-Densely Defined Cauchy Problems

Abstract

In this article we prove the positive invariance of a closed subset by the semiflow generated by a semi-linear non densely Cauchy problem. The condition impose to obtain such a property is a so called sub-tangential condition. We apply our results to a class of age structured population models.

arXiv admin note: text overlap with arXiv:1901.01231