Bounds for Certain Delay Integral Inequalities on Time Scales
<p>Abstract</p> <p>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 inequ...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2008/831817 |
| _version_ | 1818453653391933440 |
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| author | Nian Li Wei |
| author_facet | Nian Li Wei |
| author_sort | Nian Li Wei |
| collection | DOAJ |
| description | <p>Abstract</p> <p>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.</p> |
| first_indexed | 2024-12-14T21:42:24Z |
| format | Article |
| id | doaj.art-c6cd97c1964b4a98abfa6491849203db |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-14T21:42:24Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c6cd97c1964b4a98abfa6491849203db2022-12-21T22:46:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081831817Bounds for Certain Delay Integral Inequalities on Time ScalesNian Li Wei<p>Abstract</p> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2008/831817 |
| spellingShingle | Nian Li Wei 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://www.journalofinequalitiesandapplications.com/content/2008/831817 |
| work_keys_str_mv | AT nianliwei boundsforcertaindelayintegralinequalitiesontimescales |