Chipot, M (1984). A remark on the equations of age-dependent population dynamics. Quarterly of Applied Mathematics, 42(2):221-224.
The aim of this note is to improve and complete the estimates given in our paper, Arch. Ration. Mech. Anal. 82, 13-25 (1983). We deal with the problem as introduced by M. E. Gurtin and R. C. MacCamy, ibid. 54, 281-300 (1974), that is to say, we are looking for a function ρ(a,t) satisfying:
ρ a (a,t)+ρ t (a,t)+μ(a,t,P(t))ρ(a,t)=0 for a,t>0,
ρ (0,t)=∫ 0 +∞ β(a,t,P(t))ρ(a,t)da, t>0, ρ(a,0)=φ(a), a>0, where P(t)=∫ 0 +∞ ρ(a,t)da.
The aim of this note is to improve and complete the estimates given in our paper, Arch. Ration. Mech. Anal. 82, 13-25 (1983). We deal with the problem as introduced by M. E. Gurtin and R. C. MacCamy, ibid. 54, 281-300 (1974), that is to say, we are looking for a function ρ(a,t) satisfying:
ρ a (a,t)+ρ t (a,t)+μ(a,t,P(t))ρ(a,t)=0 for a,t>0,
ρ (0,t)=∫ 0 +∞ β(a,t,P(t))ρ(a,t)da, t>0, ρ(a,0)=φ(a), a>0, where P(t)=∫ 0 +∞ ρ(a,t)da.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | age-dependent population dynamics |
| Language: | English |
| Date: | 1984 |
| Deposited On: | 19 Oct 2009 13:03 |
| Last Modified: | 24 Sep 2019 16:20 |
| Publisher: | Brown University |
| ISSN: | 0033-569X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1090/qam/745100 |
| Official URL: | http://www.ams.org/publications/journals/journalsframework/qam |
| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0539.92023 |
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Chipot, M