A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics
Abstract
We consider a generalization of the Lotka-McKendrick problem describing the dynamics of an age-structured population with time-dependent vital rates. The generalization consists in allowing the initial and the boundary conditions to be derivatives of the Dirac measure. We construct a unique '-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution.
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