The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations
We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/829107 |
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| _version_ | 1832558169188990976 |
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| author | Huafeng Xiao Bo Zheng |
| author_facet | Huafeng Xiao Bo Zheng |
| author_sort | Huafeng Xiao |
| collection | DOAJ |
| description | We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at
infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions. |
| format | Article |
| id | doaj-art-414b459b01be4274b3148f365a777cce |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-414b459b01be4274b3148f365a777cce2025-02-03T01:33:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/829107829107The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential EquationsHuafeng Xiao0Bo Zheng1College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, ChinaCollege of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, ChinaWe study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.http://dx.doi.org/10.1155/2011/829107 |
| spellingShingle | Huafeng Xiao Bo Zheng The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations Journal of Applied Mathematics |
| title | The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations |
| title_full | The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations |
| title_fullStr | The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations |
| title_full_unstemmed | The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations |
| title_short | The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations |
| title_sort | existence of multiple periodic solutions of nonautonomous delay differential equations |
| url | http://dx.doi.org/10.1155/2011/829107 |
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