Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales
Let T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. The results obtained here exten...
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| Format: | Article |
| Language: | English |
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ATNAA
2021-02-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/976428 |
| _version_ | 1797917194899685376 |
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| author | Belkis Bordj Abdelouaheb Ardjouni |
| author_facet | Belkis Bordj Abdelouaheb Ardjouni |
| author_sort | Belkis Bordj |
| collection | DOAJ |
| description | Let T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point theorem to prove
the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic
systems with infinite delay on time scales. The results obtained here extend the work of Raffoul [22]. |
| first_indexed | 2024-04-10T13:09:30Z |
| format | Article |
| id | doaj.art-aecdb7ac6a864c32b168ea7cfc8b450a |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T13:09:30Z |
| publishDate | 2021-02-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-aecdb7ac6a864c32b168ea7cfc8b450a2023-02-15T16:12:40ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482021-02-015218019210.31197/atnaa.691860Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scalesBelkis BordjAbdelouaheb ArdjouniLet T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. The results obtained here extend the work of Raffoul [22].https://dergipark.org.tr/tr/download/article-file/976428fixed pointsperiodic solutionsasymptotically periodic solutionsvolterra integro-dynamic systemstime scales |
| spellingShingle | Belkis Bordj Abdelouaheb Ardjouni Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales Advances in the Theory of Nonlinear Analysis and its Applications fixed points periodic solutions asymptotically periodic solutions volterra integro-dynamic systems time scales |
| title | Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales |
| title_full | Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales |
| title_fullStr | Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales |
| title_full_unstemmed | Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales |
| title_short | Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales |
| title_sort | periodic and asymptotically periodic solutions in nonlinear coupled volterra integro dynamic systems with infinite delay on time scales |
| topic | fixed points periodic solutions asymptotically periodic solutions volterra integro-dynamic systems time scales |
| url | https://dergipark.org.tr/tr/download/article-file/976428 |
| work_keys_str_mv | AT belkisbordj periodicandasymptoticallyperiodicsolutionsinnonlinearcoupledvolterraintegrodynamicsystemswithinfinitedelayontimescales AT abdelouahebardjouni periodicandasymptoticallyperiodicsolutionsinnonlinearcoupledvolterraintegrodynamicsystemswithinfinitedelayontimescales |