A distributional solution to a hyperbolic problem arising in population dynamics

Autor: Irina Kmit
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2007, Iss 132, Pp 1-23 (2007)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals