A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity
We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is give...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/236965 |
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| _version_ | 1832555536050028544 |
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| author | Chunmiao Huang Wu-Sheng Wang Xiaoliang Zhou |
| author_facet | Chunmiao Huang Wu-Sheng Wang Xiaoliang Zhou |
| author_sort | Chunmiao Huang |
| collection | DOAJ |
| description | We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is given clearly. Moreover, an example is presented to show the usefulness of our results. |
| format | Article |
| id | doaj-art-64e716f5d5424dc19c6c9acb13a6f8a0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-64e716f5d5424dc19c6c9acb13a6f8a02025-02-03T05:47:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/236965236965A Class of Iterative Nonlinear Difference Inequality with Weakly SingularityChunmiao Huang0Wu-Sheng Wang1Xiaoliang Zhou2School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaSchool of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaDepartment of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524088, ChinaWe discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is given clearly. Moreover, an example is presented to show the usefulness of our results.http://dx.doi.org/10.1155/2014/236965 |
| spellingShingle | Chunmiao Huang Wu-Sheng Wang Xiaoliang Zhou A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity Journal of Applied Mathematics |
| title | A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity |
| title_full | A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity |
| title_fullStr | A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity |
| title_full_unstemmed | A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity |
| title_short | A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity |
| title_sort | class of iterative nonlinear difference inequality with weakly singularity |
| url | http://dx.doi.org/10.1155/2014/236965 |
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