Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales
Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time scales. The established inequalities generaliz...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/754350 |
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| _version_ | 1832568351226855424 |
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| author | Fanwei Meng Qinghua Feng Bin Zheng |
| author_facet | Fanwei Meng Qinghua Feng Bin Zheng |
| author_sort | Fanwei Meng |
| collection | DOAJ |
| description | Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time scales. The established inequalities generalize some of the results in the work of Zhang and Meng 2008, Pachpatte 2002, and Ma 2010. |
| format | Article |
| id | doaj-art-4791777f68234777a3e4d21c38863f4f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4791777f68234777a3e4d21c38863f4f2025-02-03T00:59:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/754350754350Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time ScalesFanwei Meng0Qinghua Feng1Bin Zheng2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Science, Shandong University of Technology, Zibo 255049, ChinaSome new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time scales. The established inequalities generalize some of the results in the work of Zhang and Meng 2008, Pachpatte 2002, and Ma 2010.http://dx.doi.org/10.1155/2011/754350 |
| spellingShingle | Fanwei Meng Qinghua Feng Bin Zheng Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales Journal of Applied Mathematics |
| title | Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales |
| title_full | Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales |
| title_fullStr | Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales |
| title_full_unstemmed | Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales |
| title_short | Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales |
| title_sort | explicit bounds to some new gronwall bellman type delay integral inequalities in two independent variables on time scales |
| url | http://dx.doi.org/10.1155/2011/754350 |
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