Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations
In this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t. By using the topological transversality method together with the barrier strip technique, we obtain new existence...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6793721 |
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| _version_ | 1832554607446851584 |
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| author | Yunfei Zhang Minghe Pei |
| author_facet | Yunfei Zhang Minghe Pei |
| author_sort | Yunfei Zhang |
| collection | DOAJ |
| description | In this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t. By using the topological transversality method together with the barrier strip technique, we obtain new existence results of periodic solutions to the above equation without growth restrictions on the nonlinearity. Meanwhile, as applications, an example is given to demonstrate our results. |
| format | Article |
| id | doaj-art-fe6502016ba74dc8bda7274922286791 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fe6502016ba74dc8bda72749222867912025-02-03T05:51:13ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/67937216793721Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential EquationsYunfei Zhang0Minghe Pei1Department of Mathematics, Beihua University, Jilin City 132013, ChinaDepartment of Mathematics, Beihua University, Jilin City 132013, ChinaIn this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t. By using the topological transversality method together with the barrier strip technique, we obtain new existence results of periodic solutions to the above equation without growth restrictions on the nonlinearity. Meanwhile, as applications, an example is given to demonstrate our results.http://dx.doi.org/10.1155/2020/6793721 |
| spellingShingle | Yunfei Zhang Minghe Pei Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations Journal of Function Spaces |
| title | Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations |
| title_full | Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations |
| title_fullStr | Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations |
| title_full_unstemmed | Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations |
| title_short | Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations |
| title_sort | existence of periodic solutions for nonlinear fully third order differential equations |
| url | http://dx.doi.org/10.1155/2020/6793721 |
| work_keys_str_mv | AT yunfeizhang existenceofperiodicsolutionsfornonlinearfullythirdorderdifferentialequations AT minghepei existenceofperiodicsolutionsfornonlinearfullythirdorderdifferentialequations |