Geodesic
Positive periodic solutions of $N$-species neutral delay systems
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 561-570

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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.
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.
Classification : 34A12, 34C25, 34K13, 34K15, 34K40
Keywords: positive periodic solutions; existence; neutral delay system 
Fang, Hui. Positive periodic solutions of $N$-species neutral delay systems. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 561-570. http://geodesic.mathdoc.fr/item/CMJ_2003_53_3_a5/
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     title = {Positive periodic solutions of $N$-species neutral delay systems},
     journal = {Czechoslovak Mathematical Journal},
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     zbl = {1080.34530},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_3_a5/}
}
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