On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/795456 |
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| _version_ | 1832551507918061568 |
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| author | Kelong Cheng Chunxiang Guo Qingke Zeng |
| author_facet | Kelong Cheng Chunxiang Guo Qingke Zeng |
| author_sort | Kelong Cheng |
| collection | DOAJ |
| description | Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and the uniqueness of solutions of nonlinear difference equations are also involved. |
| format | Article |
| id | doaj-art-0456d04f09a04ef1adc5629554e7e535 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0456d04f09a04ef1adc5629554e7e5352025-02-03T06:01:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/795456795456On Weakly Singular Versions of Discrete Nonlinear Inequalities and ApplicationsKelong Cheng0Chunxiang Guo1Qingke Zeng2School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Business, Sichuan University, Chengdu 610064, ChinaSchool of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSome new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and the uniqueness of solutions of nonlinear difference equations are also involved.http://dx.doi.org/10.1155/2014/795456 |
| spellingShingle | Kelong Cheng Chunxiang Guo Qingke Zeng On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications Abstract and Applied Analysis |
| title | On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications |
| title_full | On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications |
| title_fullStr | On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications |
| title_full_unstemmed | On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications |
| title_short | On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications |
| title_sort | on weakly singular versions of discrete nonlinear inequalities and applications |
| url | http://dx.doi.org/10.1155/2014/795456 |
| work_keys_str_mv | AT kelongcheng onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications AT chunxiangguo onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications AT qingkezeng onweaklysingularversionsofdiscretenonlinearinequalitiesandapplications |