A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics

Details A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics

2004-01-31

arxiv.org/abs/math/0402002v2

Mathematics

Analysis of PDEs

32 pages

Scientific paper

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 $\D'$-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution.

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