Periodic solutions of a class of indefinite singular differential equations
In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized.
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-02-01
|
| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023110?viewType=HTML |
| _version_ | 1797833221891686400 |
|---|---|
| author | Zaitao Liang Xiuqiang Zhang Shengjun Li Ziqing Zhou |
| author_facet | Zaitao Liang Xiuqiang Zhang Shengjun Li Ziqing Zhou |
| author_sort | Zaitao Liang |
| collection | DOAJ |
| description | In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized. |
| first_indexed | 2024-04-09T14:19:52Z |
| format | Article |
| id | doaj.art-ae3bd90adb02454db6dce1f56f11ee8b |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-09T14:19:52Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-ae3bd90adb02454db6dce1f56f11ee8b2023-05-05T01:34:51ZengAIMS PressElectronic Research Archive2688-15942023-02-013142139214810.3934/era.2023110Periodic solutions of a class of indefinite singular differential equationsZaitao Liang0Xiuqiang Zhang1 Shengjun Li 2 Ziqing Zhou31. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China2. School of Science, Hainan University, Haikou 570228, Hainan, China1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaIn this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized.https://www.aimspress.com/article/doi/10.3934/era.2023110?viewType=HTMLindefinite singular equationsperiodic solutionsfixed point theorem |
| spellingShingle | Zaitao Liang Xiuqiang Zhang Shengjun Li Ziqing Zhou Periodic solutions of a class of indefinite singular differential equations Electronic Research Archive indefinite singular equations periodic solutions fixed point theorem |
| title | Periodic solutions of a class of indefinite singular differential equations |
| title_full | Periodic solutions of a class of indefinite singular differential equations |
| title_fullStr | Periodic solutions of a class of indefinite singular differential equations |
| title_full_unstemmed | Periodic solutions of a class of indefinite singular differential equations |
| title_short | Periodic solutions of a class of indefinite singular differential equations |
| title_sort | periodic solutions of a class of indefinite singular differential equations |
| topic | indefinite singular equations periodic solutions fixed point theorem |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023110?viewType=HTML |
| work_keys_str_mv | AT zaitaoliang periodicsolutionsofaclassofindefinitesingulardifferentialequations AT xiuqiangzhang periodicsolutionsofaclassofindefinitesingulardifferentialequations AT shengjunli periodicsolutionsofaclassofindefinitesingulardifferentialequations AT ziqingzhou periodicsolutionsofaclassofindefinitesingulardifferentialequations |