Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters
We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/751612 |
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| author | Zhenguo Luo Liping Luo Yunhui Zeng |
| author_facet | Zhenguo Luo Liping Luo Yunhui Zeng |
| author_sort | Zhenguo Luo |
| collection | DOAJ |
| description | We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the literature. As an application, we study some special cases of systems, which have been studied extensively in the literature. |
| format | Article |
| id | doaj-art-c93865ed70ba4fcea84b965635d647f8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c93865ed70ba4fcea84b965635d647f82025-02-03T01:12:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/751612751612Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two ParametersZhenguo Luo0Liping Luo1Yunhui Zeng2Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaWe apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the literature. As an application, we study some special cases of systems, which have been studied extensively in the literature.http://dx.doi.org/10.1155/2014/751612 |
| spellingShingle | Zhenguo Luo Liping Luo Yunhui Zeng Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters Journal of Applied Mathematics |
| title | Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters |
| title_full | Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters |
| title_fullStr | Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters |
| title_full_unstemmed | Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters |
| title_short | Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters |
| title_sort | positive periodic solutions for impulsive functional differential equations with infinite delay and two parameters |
| url | http://dx.doi.org/10.1155/2014/751612 |
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