Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/5/717 |
| _version_ | 1827651191778050048 |
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| author | Ya-Ru Zhu Zhong-Xuan Mao Jing-Feng Tian Ya-Gang Zhang Xin-Ni Lin |
| author_facet | Ya-Ru Zhu Zhong-Xuan Mao Jing-Feng Tian Ya-Gang Zhang Xin-Ni Lin |
| author_sort | Ya-Ru Zhu |
| collection | DOAJ |
| description | In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem. |
| first_indexed | 2024-03-09T20:31:20Z |
| format | Article |
| id | doaj.art-a8b12cfffac54d9da98a075413feaad7 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T20:31:20Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a8b12cfffac54d9da98a075413feaad72023-11-23T23:22:34ZengMDPI AGMathematics2227-73902022-02-0110571710.3390/math10050717Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time ScalesYa-Ru Zhu0Zhong-Xuan Mao1Jing-Feng Tian2Ya-Gang Zhang3Xin-Ni Lin4Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaCollege of Foreign Languages, Cultures and International Exchanges, Zhejiang University, Ningbo 315100, ChinaIn this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.https://www.mdpi.com/2227-7390/10/5/717higher order dynamic equationsoscillationnonoscillationRiccati techniquefixed point theorem |
| spellingShingle | Ya-Ru Zhu Zhong-Xuan Mao Jing-Feng Tian Ya-Gang Zhang Xin-Ni Lin Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales Mathematics higher order dynamic equations oscillation nonoscillation Riccati technique fixed point theorem |
| title | Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales |
| title_full | Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales |
| title_fullStr | Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales |
| title_full_unstemmed | Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales |
| title_short | Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales |
| title_sort | oscillation and nonoscillatory criteria of higher order dynamic equations on time scales |
| topic | higher order dynamic equations oscillation nonoscillation Riccati technique fixed point theorem |
| url | https://www.mdpi.com/2227-7390/10/5/717 |
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