The Unique Periodic Solution of Abel’s Differential Equation
In this paper, the existence of a periodic solution for Abel’s differential equation is obtained first by using the fixed-point theorem. Then, by constructing the Lyapunov function, the uniqueness and stability of the periodic solution of the equation are obtained.
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/9814829 |
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| _version_ | 1832566534501826560 |
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| author | Ni Hua |
| author_facet | Ni Hua |
| author_sort | Ni Hua |
| collection | DOAJ |
| description | In this paper, the existence of a periodic solution for Abel’s differential equation is obtained first by using the fixed-point theorem. Then, by constructing the Lyapunov function, the uniqueness and stability of the periodic solution of the equation are obtained. |
| format | Article |
| id | doaj-art-43c61d1cb08249328dbeb18f870eced1 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-43c61d1cb08249328dbeb18f870eced12025-02-03T01:03:56ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/98148299814829The Unique Periodic Solution of Abel’s Differential EquationNi Hua0Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, ChinaIn this paper, the existence of a periodic solution for Abel’s differential equation is obtained first by using the fixed-point theorem. Then, by constructing the Lyapunov function, the uniqueness and stability of the periodic solution of the equation are obtained.http://dx.doi.org/10.1155/2020/9814829 |
| spellingShingle | Ni Hua The Unique Periodic Solution of Abel’s Differential Equation Journal of Mathematics |
| title | The Unique Periodic Solution of Abel’s Differential Equation |
| title_full | The Unique Periodic Solution of Abel’s Differential Equation |
| title_fullStr | The Unique Periodic Solution of Abel’s Differential Equation |
| title_full_unstemmed | The Unique Periodic Solution of Abel’s Differential Equation |
| title_short | The Unique Periodic Solution of Abel’s Differential Equation |
| title_sort | unique periodic solution of abel s differential equation |
| url | http://dx.doi.org/10.1155/2020/9814829 |
| work_keys_str_mv | AT nihua theuniqueperiodicsolutionofabelsdifferentialequation AT nihua uniqueperiodicsolutionofabelsdifferentialequation |