A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics
偏微分方程分析
2025-12-10 v2
摘要
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 -solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution.
引用
@article{arxiv.math/0402002,
title = {A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics},
author = {Irina Kmit},
journal= {arXiv preprint arXiv:math/0402002},
year = {2025}
}
备注
32 pages