A distributional solution to a hyperbolic problem arising in population dynamics
dc.contributor.author | Kmit, Irina | |
dc.date.accessioned | 2021-08-17T17:40:12Z | |
dc.date.available | 2021-08-17T17:40:12Z | |
dc.date.issued | 2007-10-09 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 23 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14346 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Population dynamics | |
dc.subject | Hyperbolic equation | |
dc.subject | Integral condition | |
dc.subject | Singular data | |
dc.subject | Distributional solution | |
dc.title | A distributional solution to a hyperbolic problem arising in population dynamics | en_US |
dc.type | Article |