Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System
This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to sho...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/659152 |
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| author | Hui-Sheng Ding Julio G. Dix |
| author_facet | Hui-Sheng Ding Julio G. Dix |
| author_sort | Hui-Sheng Ding |
| collection | DOAJ |
| description | This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for the n-dimensional functional difference system yk+1=Akyk+fk, yk-τ, k∈ℤ, where Ak is not assumed to be diagonal as in some earlier results. In addition, a concrete example is also given to illustrate our results. |
| format | Article |
| id | doaj-art-d09a8e1a13e64d97b765e6ace1183c9e |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d09a8e1a13e64d97b765e6ace1183c9e2025-08-20T03:19:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/659152659152Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type SystemHui-Sheng Ding0Julio G. Dix1College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaDepartment of Mathematics, Texas State University, San Marcos, TX 78666, USAThis paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for the n-dimensional functional difference system yk+1=Akyk+fk, yk-τ, k∈ℤ, where Ak is not assumed to be diagonal as in some earlier results. In addition, a concrete example is also given to illustrate our results.http://dx.doi.org/10.1155/2014/659152 |
| spellingShingle | Hui-Sheng Ding Julio G. Dix Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System Abstract and Applied Analysis |
| title | Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System |
| title_full | Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System |
| title_fullStr | Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System |
| title_full_unstemmed | Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System |
| title_short | Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System |
| title_sort | multiple periodic solutions for discrete nicholson s blowflies type system |
| url | http://dx.doi.org/10.1155/2014/659152 |
| work_keys_str_mv | AT huishengding multipleperiodicsolutionsfordiscretenicholsonsblowfliestypesystem AT juliogdix multipleperiodicsolutionsfordiscretenicholsonsblowfliestypesystem |