A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral e...
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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/10.1155/2014/865136 |
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| _version_ | 1832551165241327616 |
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| author | Limian Zhao Shanhe Wu Wu-Sheng Wang |
| author_facet | Limian Zhao Shanhe Wu Wu-Sheng Wang |
| author_sort | Limian Zhao |
| collection | DOAJ |
| description | We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given. |
| format | Article |
| id | doaj-art-12ab831c69824a50adade98f1db93dff |
| 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-12ab831c69824a50adade98f1db93dff2025-02-03T06:04:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/865136865136A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its ApplicationLimian Zhao0Shanhe Wu1Wu-Sheng Wang2School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaSchool of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaWe establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given.http://dx.doi.org/10.1155/2014/865136 |
| spellingShingle | Limian Zhao Shanhe Wu Wu-Sheng Wang A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application Journal of Applied Mathematics |
| title | A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application |
| title_full | A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application |
| title_fullStr | A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application |
| title_full_unstemmed | A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application |
| title_short | A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application |
| title_sort | generalized nonlinear volterra fredholm type integral inequality and its application |
| url | http://dx.doi.org/10.1155/2014/865136 |
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