A distributional solution to a hyperbolic problem arising in population dynamics
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Date
2007-10-09
Authors
Kmit, Irina
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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 D'-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution.
Description
Keywords
Population dynamics, Hyperbolic equation, Integral condition, Singular data, Distributional solution
Citation
Kmit, I. (2007). A distributional solution to a hyperbolic problem arising in population dynamics. <i>Electronic Journal of Differential Equations, 2007</i>(132), pp. 1-23.
Rights
Attribution 4.0 International