Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
<p>Abstract</p> <p>In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales. The established results generalize some of the...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/29 |
| _version_ | 1818916654810136576 |
|---|---|
| author | Zhang Yaoming Zheng Bin Zhou Jinchuan Feng Qinghua Meng Fanwei |
| author_facet | Zhang Yaoming Zheng Bin Zhou Jinchuan Feng Qinghua Meng Fanwei |
| author_sort | Zhang Yaoming |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales. The established results generalize some of the results in Lipovan [J. Math. Anal. Appl. <b>322</b>, 349-358 (2006)], Pachpatte [J. Math. Anal. Appl. <b>251</b>, 736-751 (2000)], Li [Comput. Math. Appl. <b>59</b>, 1929-1936 (2010)], and Sun [J. Math. Anal. Appl. <b>301</b>, 265-275 (2005)].</p> <p><b>MSC 2010</b>: 26E70; 26D15; 26D10.</p> |
| first_indexed | 2024-12-20T00:21:37Z |
| format | Article |
| id | doaj.art-f218fde01b134575940f51405ff75882 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-20T00:21:37Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f218fde01b134575940f51405ff758822022-12-21T20:00:10ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011129Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equationsZhang YaomingZheng BinZhou JinchuanFeng QinghuaMeng Fanwei<p>Abstract</p> <p>In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales. The established results generalize some of the results in Lipovan [J. Math. Anal. Appl. <b>322</b>, 349-358 (2006)], Pachpatte [J. Math. Anal. Appl. <b>251</b>, 736-751 (2000)], Li [Comput. Math. Appl. <b>59</b>, 1929-1936 (2010)], and Sun [J. Math. Anal. Appl. <b>301</b>, 265-275 (2005)].</p> <p><b>MSC 2010</b>: 26E70; 26D15; 26D10.</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/29delay integral inequalitytime scalesdynamic equationbound |
| spellingShingle | Zhang Yaoming Zheng Bin Zhou Jinchuan Feng Qinghua Meng Fanwei Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations Journal of Inequalities and Applications delay integral inequality time scales dynamic equation bound |
| title | Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| title_full | Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| title_fullStr | Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| title_full_unstemmed | Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| title_short | Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| title_sort | some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations |
| topic | delay integral inequality time scales dynamic equation bound |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/29 |
| work_keys_str_mv | AT zhangyaoming somenonlineardelayintegralinequalitiesontimescalesarisinginthetheoryofdynamicsequations AT zhengbin somenonlineardelayintegralinequalitiesontimescalesarisinginthetheoryofdynamicsequations AT zhoujinchuan somenonlineardelayintegralinequalitiesontimescalesarisinginthetheoryofdynamicsequations AT fengqinghua somenonlineardelayintegralinequalitiesontimescalesarisinginthetheoryofdynamicsequations AT mengfanwei somenonlineardelayintegralinequalitiesontimescalesarisinginthetheoryofdynamicsequations |