Bounds for Certain Delay Integral Inequalities on Time Scales
Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as han...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-12-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/831817 |
| _version_ | 1818197879777394688 |
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| author | Wei Nian Li |
| author_facet | Wei Nian Li |
| author_sort | Wei Nian Li |
| collection | DOAJ |
| description | Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain classes of delay dynamic equations on time scales. |
| first_indexed | 2024-12-12T01:57:00Z |
| format | Article |
| id | doaj.art-a8f5b142e8ed4f81aebda8ccce5bcde7 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-12T01:57:00Z |
| publishDate | 2008-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a8f5b142e8ed4f81aebda8ccce5bcde72022-12-22T00:42:20ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-12-01200810.1155/2008/831817Bounds for Certain Delay Integral Inequalities on Time ScalesWei Nian LiOur aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain classes of delay dynamic equations on time scales.http://dx.doi.org/10.1155/2008/831817 |
| spellingShingle | Wei Nian Li Bounds for Certain Delay Integral Inequalities on Time Scales Journal of Inequalities and Applications |
| title | Bounds for Certain Delay Integral Inequalities on Time Scales |
| title_full | Bounds for Certain Delay Integral Inequalities on Time Scales |
| title_fullStr | Bounds for Certain Delay Integral Inequalities on Time Scales |
| title_full_unstemmed | Bounds for Certain Delay Integral Inequalities on Time Scales |
| title_short | Bounds for Certain Delay Integral Inequalities on Time Scales |
| title_sort | bounds for certain delay integral inequalities on time scales |
| url | http://dx.doi.org/10.1155/2008/831817 |
| work_keys_str_mv | AT weinianli boundsforcertaindelayintegralinequalitiesontimescales |