Pseudo compact almost automorphic solutions to a family of delay differential equations
In this article, a family of delay differential equations with pseudo compact almost automorphic coefficients is considered. By introducing a concept of Bi-pseudo compact almost automorphic functions and establishing the properties of these functions, and using Halanay’s inequality and Banach fixed...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2024-0074 |
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| author | Zheng Feng-Xia Li Hong-Xu |
| author_facet | Zheng Feng-Xia Li Hong-Xu |
| author_sort | Zheng Feng-Xia |
| collection | DOAJ |
| description | In this article, a family of delay differential equations with pseudo compact almost automorphic coefficients is considered. By introducing a concept of Bi-pseudo compact almost automorphic functions and establishing the properties of these functions, and using Halanay’s inequality and Banach fixed point theorem, some results on the existence, uniqueness and global exponential stability of pseudo compact automorphic solutions of the equations are obtained. Our results extend some recent works. Moreover, an example is given to illustrate the validity of our results. |
| format | Article |
| id | doaj-art-21bc7f4678ab4cde9f834f1cb54b1c56 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-21bc7f4678ab4cde9f834f1cb54b1c562024-12-16T08:56:55ZengDe GruyterDemonstratio Mathematica2391-46612024-12-0157125326310.1515/dema-2024-0074Pseudo compact almost automorphic solutions to a family of delay differential equationsZheng Feng-Xia0Li Hong-Xu1School of Science, Xihua University, Chengdu, 610039, Sichuan, P. R. ChinaDepartment of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, P. R. ChinaIn this article, a family of delay differential equations with pseudo compact almost automorphic coefficients is considered. By introducing a concept of Bi-pseudo compact almost automorphic functions and establishing the properties of these functions, and using Halanay’s inequality and Banach fixed point theorem, some results on the existence, uniqueness and global exponential stability of pseudo compact automorphic solutions of the equations are obtained. Our results extend some recent works. Moreover, an example is given to illustrate the validity of our results.https://doi.org/10.1515/dema-2024-0074delay differential equationspseudo compact almost automorphic solutionsbi-pseudo compact almost automorphicglobal exponential stability34c2734k14 |
| spellingShingle | Zheng Feng-Xia Li Hong-Xu Pseudo compact almost automorphic solutions to a family of delay differential equations Demonstratio Mathematica delay differential equations pseudo compact almost automorphic solutions bi-pseudo compact almost automorphic global exponential stability 34c27 34k14 |
| title | Pseudo compact almost automorphic solutions to a family of delay differential equations |
| title_full | Pseudo compact almost automorphic solutions to a family of delay differential equations |
| title_fullStr | Pseudo compact almost automorphic solutions to a family of delay differential equations |
| title_full_unstemmed | Pseudo compact almost automorphic solutions to a family of delay differential equations |
| title_short | Pseudo compact almost automorphic solutions to a family of delay differential equations |
| title_sort | pseudo compact almost automorphic solutions to a family of delay differential equations |
| topic | delay differential equations pseudo compact almost automorphic solutions bi-pseudo compact almost automorphic global exponential stability 34c27 34k14 |
| url | https://doi.org/10.1515/dema-2024-0074 |
| work_keys_str_mv | AT zhengfengxia pseudocompactalmostautomorphicsolutionstoafamilyofdelaydifferentialequations AT lihongxu pseudocompactalmostautomorphicsolutionstoafamilyofdelaydifferentialequations |