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Balanced exponential growth for perturbed operator semigroups. (English) Zbl 0999.47026
Author’s abstract: The semigroup theory of balanced exponential growth is applied to semigroups on abstract $$L$$ spaces that originate from positive perturbations. Applications to age-size-structured population dynamics are presented.

##### MSC:
 47D06 One-parameter semigroups and linear evolution equations 47B60 Linear operators on ordered spaces 47N20 Applications of operator theory to differential and integral equations 92D25 Population dynamics (general)