| Title:
|
Positive periodic solutions of $N$-species neutral delay systems (English) |
| Author:
|
Fang, Hui |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
561-570 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we employ some new techniques to study the existence of positive periodic solution of $n$-species neutral delay system \[ N^{\prime }_i(t)=N_i(t)\biggl [a_i(t)-\sum _{j=1}^n\beta _{ij}(t)N_j(t)- \sum _{j=1}^nb_{ij}(t)N_j(t-\tau _{ij}(t))-\sum _{j=1}^nc_{ij}(t) N^{\prime }_j(t-\tau _{ij}(t))\biggr ]. \] As a corollary, we answer an open problem proposed by Y. Kuang. (English) |
| Keyword:
|
positive periodic solutions |
| Keyword:
|
existence |
| Keyword:
|
neutral delay system |
| MSC:
|
34A12 |
| MSC:
|
34C25 |
| MSC:
|
34K13 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1080.34530 |
| idMR:
|
MR2000053 |
| . |
| Date available:
|
2009-09-24T11:04:28Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127823 |
| . |
| Reference:
|
[1] Y. Kuang: Delay Differential Equations with Applications in Population Dynamics.Academic Press, New York, 1993. Zbl 0777.34002, MR 1218880 |
| Reference:
|
[2] H. I. Freedman and J. Wu: Periodic solutions of single-species models with periodic delay.SIAM J. Math. Anal. 23 (1992), 689–701. MR 1158828, 10.1137/0523035 |
| Reference:
|
[3] L. Erbe, W. Krawcewicz and J. Wu: A composite coincidence degree with applications to boundary value problems of neutral equations.Trans. Amer. Math. Soc. 335 (1993), 459–478. MR 1169080, 10.1090/S0002-9947-1993-1169080-3 |
| Reference:
|
[4] W. Krawcewicz and J. Wu: Theory of Degrees with Applications to Bifurcations and Differential Equations.John Wiley & Sons, Inc., New York, 1996. MR 1426128 |
| . |
