Abstract
Some obstacle problems, arising in age-dependent population dynamics, have been studied by Garroni-Lamberti [3] and Garroni-Langlais [4]. In this paper, we shall study abstract evolution equations associated with these obstacle, problems from the viewpoint of the subdifferential operator theory. Existence and uniqueness theorems will be established by using some results of the theory of evolution equations generated by time-dependent subdifferentials. Also, problems with monotone perturbations will be solved. Moreover, in the final section we apply the abstract results to two nonlinear evolution problems arising in population dynamics.
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