EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS
In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point theorem. The exponential stability of positive periodic solutions is also studied. The results obtained here extend some...
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2020-07-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/217 |
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| author | Faycal Bouchelaghem Abdelouaheb Ardjouni Ahcene Djoudi |
| author_facet | Faycal Bouchelaghem Abdelouaheb Ardjouni Ahcene Djoudi |
| author_sort | Faycal Bouchelaghem |
| collection | DOAJ |
| description | In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point theorem. The exponential stability of positive periodic solutions is also studied. The results obtained here extend some results in the literature. An example is also given to illustrate this work. |
| format | Article |
| id | doaj-art-5e90a12528b543faafc8eb8a5e94a51e |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2020-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-5e90a12528b543faafc8eb8a5e94a51e2025-08-20T03:56:17ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522020-07-016110.15826/umj.2020.1.00495EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONSFaycal Bouchelaghem0Abdelouaheb Ardjouni1Ahcene Djoudi2High School of Management Sciences Annaba, Annaba 23000Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000Department of Mathematics, Annaba University, P.O. Box 12, Annaba 23000In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point theorem. The exponential stability of positive periodic solutions is also studied. The results obtained here extend some results in the literature. An example is also given to illustrate this work.https://umjuran.ru/index.php/umj/article/view/217positive periodic solutions, exponential stability, schauder fixed point theorem, dynamic equations, time scales |
| spellingShingle | Faycal Bouchelaghem Abdelouaheb Ardjouni Ahcene Djoudi EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS Ural Mathematical Journal positive periodic solutions, exponential stability, schauder fixed point theorem, dynamic equations, time scales |
| title | EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS |
| title_full | EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS |
| title_fullStr | EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS |
| title_full_unstemmed | EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS |
| title_short | EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS |
| title_sort | existence and exponential stability of positive periodic solutions for second order dynamic equations |
| topic | positive periodic solutions, exponential stability, schauder fixed point theorem, dynamic equations, time scales |
| url | https://umjuran.ru/index.php/umj/article/view/217 |
| work_keys_str_mv | AT faycalbouchelaghem existenceandexponentialstabilityofpositiveperiodicsolutionsforsecondorderdynamicequations AT abdelouahebardjouni existenceandexponentialstabilityofpositiveperiodicsolutionsforsecondorderdynamicequations AT ahcenedjoudi existenceandexponentialstabilityofpositiveperiodicsolutionsforsecondorderdynamicequations |