Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations
We study the existence of periodic solutions for n-th order functional differential equations 𝑥(𝑛)∑(𝑡)=𝑛−1𝑖=0𝑏𝑖[𝑥(𝑖)(𝑡)]𝑘+𝑓(𝑥(𝑡−𝜏(𝑡)))+𝑝(𝑡). Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/916279 |
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| _version_ | 1832551877165711360 |
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| author | Bing Song Lijun Pan Jinde Cao |
| author_facet | Bing Song Lijun Pan Jinde Cao |
| author_sort | Bing Song |
| collection | DOAJ |
| description | We study the existence of periodic solutions for n-th order functional differential
equations 𝑥(𝑛)∑(𝑡)=𝑛−1𝑖=0𝑏𝑖[𝑥(𝑖)(𝑡)]𝑘+𝑓(𝑥(𝑡−𝜏(𝑡)))+𝑝(𝑡). Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin. |
| format | Article |
| id | doaj-art-5ff0e4825915459b8dd0ebb6d80c2952 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-5ff0e4825915459b8dd0ebb6d80c29522025-02-03T06:00:15ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/916279916279Periodic Solutions for a Class of 𝑛-th Order Functional Differential EquationsBing Song0Lijun Pan1Jinde Cao2Department of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Mathematics, Jia Ying University, Meizhou Guangdong, 514015, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaWe study the existence of periodic solutions for n-th order functional differential equations 𝑥(𝑛)∑(𝑡)=𝑛−1𝑖=0𝑏𝑖[𝑥(𝑖)(𝑡)]𝑘+𝑓(𝑥(𝑡−𝜏(𝑡)))+𝑝(𝑡). Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.http://dx.doi.org/10.1155/2011/916279 |
| spellingShingle | Bing Song Lijun Pan Jinde Cao Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations International Journal of Differential Equations |
| title | Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations |
| title_full | Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations |
| title_fullStr | Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations |
| title_full_unstemmed | Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations |
| title_short | Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations |
| title_sort | periodic solutions for a class of 𝑛 th order functional differential equations |
| url | http://dx.doi.org/10.1155/2011/916279 |
| work_keys_str_mv | AT bingsong periodicsolutionsforaclassofnthorderfunctionaldifferentialequations AT lijunpan periodicsolutionsforaclassofnthorderfunctionaldifferentialequations AT jindecao periodicsolutionsforaclassofnthorderfunctionaldifferentialequations |