Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales
In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented.
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/7/8/680 |
| _version_ | 1818293412683579392 |
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| author | Yong Zhou Bashir Ahmad Ahmed Alsaedi |
| author_facet | Yong Zhou Bashir Ahmad Ahmed Alsaedi |
| author_sort | Yong Zhou |
| collection | DOAJ |
| description | In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented. |
| first_indexed | 2024-12-13T03:15:27Z |
| format | Article |
| id | doaj.art-f7878f1f1c5f4dbca966c41ae3731f94 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-13T03:15:27Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f7878f1f1c5f4dbca966c41ae3731f942022-12-22T00:01:29ZengMDPI AGMathematics2227-73902019-07-017868010.3390/math7080680math7080680Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time ScalesYong Zhou0Bashir Ahmad1Ahmed Alsaedi2Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, ChinaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented.https://www.mdpi.com/2227-7390/7/8/680dynamic equationstime scalesclassificationexistencenecessary and sufficient conditions |
| spellingShingle | Yong Zhou Bashir Ahmad Ahmed Alsaedi Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales Mathematics dynamic equations time scales classification existence necessary and sufficient conditions |
| title | Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales |
| title_full | Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales |
| title_fullStr | Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales |
| title_full_unstemmed | Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales |
| title_short | Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales |
| title_sort | structure of non oscillatory solutions for second order dynamic equations on time scales |
| topic | dynamic equations time scales classification existence necessary and sufficient conditions |
| url | https://www.mdpi.com/2227-7390/7/8/680 |
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