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Eventual compactness for semiflows generated by nonlinear age-structured models

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  • In this paper we investigate compactness properties for a semiflow generated by a semi-linear equation with non-dense domain. We start with the non-homogeneous linear case, and we derive some abstract conditions for non-autonomous semilinear equations. Then we investigate a special situation which is well adapted for age-structured equations. We conclude the paper by applying the abstract results to an age-structured model with an additional structure.
    Mathematics Subject Classification: 34Gxx, 47H20, 47J35, 58D25, 92D25.

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