Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays
The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,...
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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/10.1155/2014/547683 |
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| author | Yongxiang Li Qiang Li |
| author_facet | Yongxiang Li Qiang Li |
| author_sort | Yongxiang Li |
| collection | DOAJ |
| description | The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,and τ0,τ1,τ2
are positive constants. The discussion is based on the fixed-point index theory in cones. |
| format | Article |
| id | doaj-art-b57bac4a0dc14c609cc6b64a542c2b33 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b57bac4a0dc14c609cc6b64a542c2b332025-02-03T06:07:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/547683547683Positive Periodic Solutions of Third-Order Ordinary Differential Equations with DelaysYongxiang Li0Qiang Li1Department 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 third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,and τ0,τ1,τ2 are positive constants. The discussion is based on the fixed-point index theory in cones.http://dx.doi.org/10.1155/2014/547683 |
| spellingShingle | Yongxiang Li Qiang Li Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays Abstract and Applied Analysis |
| title | Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays |
| title_full | Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays |
| title_fullStr | Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays |
| title_full_unstemmed | Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays |
| title_short | Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays |
| title_sort | positive periodic solutions of third order ordinary differential equations with delays |
| url | http://dx.doi.org/10.1155/2014/547683 |
| work_keys_str_mv | AT yongxiangli positiveperiodicsolutionsofthirdorderordinarydifferentialequationswithdelays AT qiangli positiveperiodicsolutionsofthirdorderordinarydifferentialequationswithdelays |