Positive Perturbations of Dual and Integrated Semigroups
نویسنده
چکیده
Positive perturbations of generators of locally Lipschitz continuous increasing integrated semigroups on an abstract L space are again generators of locally Lipschitz continuous increasing integrated semigroups. Positive perturbations of generators of positive dual semigroups on a dual abstract L space are generators of semigroups that are weakly∗ right continuous. These results are reformulated in terms of cumulative outputs and then applied to age-structured models for population dynamics. ∗ Research partially supported by The Bank of Sweden Tercentenary Foundation, The Swedish Council for Forestry and Agricultural Research, and the Swedish Cancer Foundation ∗∗ Research partially supported by NSF grant DMS-9101979
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