Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems
In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii’s fixed point theorem, we obtain sufficient criteria for the existence of periodic solutions...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6319312 |
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| _version_ | 1849408501380546560 |
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| author | Mouataz Billah Mesmouli Adel A. Attiya A. A. Elmandouha Ayékotan M. J. Tchalla Taher S. Hassan |
| author_facet | Mouataz Billah Mesmouli Adel A. Attiya A. A. Elmandouha Ayékotan M. J. Tchalla Taher S. Hassan |
| author_sort | Mouataz Billah Mesmouli |
| collection | DOAJ |
| description | In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii’s fixed point theorem, we obtain sufficient criteria for the existence of periodic solutions, as well as for the uniqueness of solutions. The main results expand and generalize certain previously published findings. |
| format | Article |
| id | doaj-art-77115a43389241c3938848b3aa1f7ff7 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-77115a43389241c3938848b3aa1f7ff72025-08-20T03:35:46ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6319312Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral SystemsMouataz Billah Mesmouli0Adel A. Attiya1A. A. Elmandouha2Ayékotan M. J. Tchalla3Taher S. Hassan4Mathematics DepartmentMathematics DepartmentDepartment of Mathematics and StatisticsDépartement de MathématiquesMathematics DepartmentIn this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii’s fixed point theorem, we obtain sufficient criteria for the existence of periodic solutions, as well as for the uniqueness of solutions. The main results expand and generalize certain previously published findings.http://dx.doi.org/10.1155/2022/6319312 |
| spellingShingle | Mouataz Billah Mesmouli Adel A. Attiya A. A. Elmandouha Ayékotan M. J. Tchalla Taher S. Hassan Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems Journal of Function Spaces |
| title | Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems |
| title_full | Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems |
| title_fullStr | Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems |
| title_full_unstemmed | Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems |
| title_short | Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems |
| title_sort | dichotomy condition and periodic solutions for two nonlinear neutral systems |
| url | http://dx.doi.org/10.1155/2022/6319312 |
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