A DISTRIBUTIONAL SOLUTION TO A HYPERBOLIC PROBLEM ARISING IN POPULATION DYNAMICS

被引：0

作者：

Kmit, Irina ^{[1
]}

机构：

[1] Ukrainian Acad Sci, Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Population dynamics; hyperbolic equation; integral condition; singular data; distributional solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 D'-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution.

引用

页数：23

共 29 条

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