Study on the oscillation of solution to second-order impulsive systems
In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue'...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231134?viewType=HTML |
| _version_ | 1797771640533155840 |
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| author | Shyam Sundar Santra Palash Mondal Mohammad Esmael Samei Hammad Alotaibi Mohamed Altanji Thongchai Botmart |
| author_facet | Shyam Sundar Santra Palash Mondal Mohammad Esmael Samei Hammad Alotaibi Mohamed Altanji Thongchai Botmart |
| author_sort | Shyam Sundar Santra |
| collection | DOAJ |
| description | In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue's dominated convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem. |
| first_indexed | 2024-03-12T21:40:30Z |
| format | Article |
| id | doaj.art-87d3bf6d50ac4c30b67c70c34913eda8 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T21:40:30Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-87d3bf6d50ac4c30b67c70c34913eda82023-07-27T01:23:47ZengAIMS PressAIMS Mathematics2473-69882023-07-0189222372225510.3934/math.20231134Study on the oscillation of solution to second-order impulsive systemsShyam Sundar Santra0Palash Mondal 1Mohammad Esmael Samei2Hammad Alotaibi3Mohamed Altanji4Thongchai Botmart 51. Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India2. Assistant Teacher of Sankarpur High Madrasah (HS), Murshidabad 742159, India3. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran4. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia5. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia6. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue's dominated convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.https://www.aimspress.com/article/doi/10.3934/math.20231134?viewType=HTMLnonlinearnonoscillationdelay argumentsecond-order differential equationlebesgue's dominated convergence theorem |
| spellingShingle | Shyam Sundar Santra Palash Mondal Mohammad Esmael Samei Hammad Alotaibi Mohamed Altanji Thongchai Botmart Study on the oscillation of solution to second-order impulsive systems AIMS Mathematics nonlinear nonoscillation delay argument second-order differential equation lebesgue's dominated convergence theorem |
| title | Study on the oscillation of solution to second-order impulsive systems |
| title_full | Study on the oscillation of solution to second-order impulsive systems |
| title_fullStr | Study on the oscillation of solution to second-order impulsive systems |
| title_full_unstemmed | Study on the oscillation of solution to second-order impulsive systems |
| title_short | Study on the oscillation of solution to second-order impulsive systems |
| title_sort | study on the oscillation of solution to second order impulsive systems |
| topic | nonlinear nonoscillation delay argument second-order differential equation lebesgue's dominated convergence theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231134?viewType=HTML |
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