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.
Classification : 34A12, 34C25, 34K13, 34K15, 34K40
Keywords: positive periodic solutions; existence; neutral delay system 
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     author = {Fang, Hui},
     title = {Positive periodic solutions of $N$-species neutral delay systems},
     journal = {Czechoslovak Mathematical Journal},
     pages = {561--570},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2003},
     mrnumber = {2000053},
     zbl = {1080.34530},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a5/}
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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/