Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations
<p>Abstract</p> <p>In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. The established results generalize the main results in Sun...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/20 |
| _version_ | 1811266631131725824 |
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| author | Zheng Bin Feng Qinghua |
| author_facet | Zheng Bin Feng Qinghua |
| author_sort | Zheng Bin |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. The established results generalize the main results in Sun (J. Math. Anal. Appl. <b>301</b>, 265-275, 2005), Ferreira and Torres (Appl. Math. Lett. <b>22</b>, 876-881, 2009), Xu and Sun (Appl. Math. Comput. 182, 1260-1266, 2006) and Li et al. (J. Math. Anal. Appl. <b>372</b>, 339-349 2010).</p> <p><b>MSC 2010</b>: 26D15; 26D10</p> |
| first_indexed | 2024-04-12T20:46:46Z |
| format | Article |
| id | doaj.art-2e34c84bf8344fcaa7d45d7196c2c18f |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-12T20:46:46Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-2e34c84bf8344fcaa7d45d7196c2c18f2022-12-22T03:17:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011120Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equationsZheng BinFeng Qinghua<p>Abstract</p> <p>In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. The established results generalize the main results in Sun (J. Math. Anal. Appl. <b>301</b>, 265-275, 2005), Ferreira and Torres (Appl. Math. Lett. <b>22</b>, 876-881, 2009), Xu and Sun (Appl. Math. Comput. 182, 1260-1266, 2006) and Li et al. (J. Math. Anal. Appl. <b>372</b>, 339-349 2010).</p> <p><b>MSC 2010</b>: 26D15; 26D10</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/20integral inequalityglobal existenceintegral equationdifferential equationbounded |
| spellingShingle | Zheng Bin Feng Qinghua Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations Journal of Inequalities and Applications integral inequality global existence integral equation differential equation bounded |
| title | Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| title_full | Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| title_fullStr | Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| title_full_unstemmed | Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| title_short | Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| title_sort | some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations |
| topic | integral inequality global existence integral equation differential equation bounded |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/20 |
| work_keys_str_mv | AT zhengbin somenewnonlinearintegralinequalitiesandtheirapplicationsinthequalitativeanalysisofdifferentialequations AT fengqinghua somenewnonlinearintegralinequalitiesandtheirapplicationsinthequalitativeanalysisofdifferentialequations |