Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities
The existence results of positive ω-periodic solutions are obtained for the second-order ordinary differential equation u′′(t)=f(t,u(t),u'(t)),t∈ℝ where, f:ℝ×(0,∞)×ℝ→ℝ is a continuous function, which is ω-periodic in t and f(t,u,v) may be singular at u=0. The discussion is based on the fixed po...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/945467 |
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| _version_ | 1850220800283508736 |
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| author | Yongxiang Li Xiaoyu Jiang |
| author_facet | Yongxiang Li Xiaoyu Jiang |
| author_sort | Yongxiang Li |
| collection | DOAJ |
| description | The existence results of positive ω-periodic solutions are obtained for the second-order ordinary differential equation u′′(t)=f(t,u(t),u'(t)),t∈ℝ where, f:ℝ×(0,∞)×ℝ→ℝ is a continuous function, which is ω-periodic in t and f(t,u,v) may be singular at u=0. The discussion is based on the fixed point index theory in cones. |
| format | Article |
| id | doaj-art-7c52b71c63c64d0bb68a3b5ab4d42387 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-7c52b71c63c64d0bb68a3b5ab4d423872025-08-20T02:06:56ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/945467945467Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in NonlinearitiesYongxiang Li0Xiaoyu Jiang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThe existence results of positive ω-periodic solutions are obtained for the second-order ordinary differential equation u′′(t)=f(t,u(t),u'(t)),t∈ℝ where, f:ℝ×(0,∞)×ℝ→ℝ is a continuous function, which is ω-periodic in t and f(t,u,v) may be singular at u=0. The discussion is based on the fixed point index theory in cones.http://dx.doi.org/10.1155/2012/945467 |
| spellingShingle | Yongxiang Li Xiaoyu Jiang Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities Journal of Function Spaces and Applications |
| title | Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities |
| title_full | Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities |
| title_fullStr | Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities |
| title_full_unstemmed | Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities |
| title_short | Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities |
| title_sort | positive periodic solutions for second order ordinary differential equations with derivative terms and singularity in nonlinearities |
| url | http://dx.doi.org/10.1155/2012/945467 |
| work_keys_str_mv | AT yongxiangli positiveperiodicsolutionsforsecondorderordinarydifferentialequationswithderivativetermsandsingularityinnonlinearities AT xiaoyujiang positiveperiodicsolutionsforsecondorderordinarydifferentialequationswithderivativetermsandsingularityinnonlinearities |