Kmit, Irina2021-08-172021-08-172007-10-09Kmit, I. (2007). A distributional solution to a hyperbolic problem arising in population dynamics. <i>Electronic Journal of Differential Equations, 2007</i>(132), pp. 1-23.1072-6691https://hdl.handle.net/10877/14346We 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.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalPopulation dynamicsHyperbolic equationIntegral conditionSingular dataDistributional solutionArticle