Integral inequalities similar to Gronwall inequality
| dc.contributor.author | Denche, Mohamed | |
| dc.contributor.author | Khellaf, Hassane | |
| dc.date.accessioned | 2021-08-19T17:37:54Z | |
| dc.date.available | 2021-08-19T17:37:54Z | |
| dc.date.issued | 2007-12-12 | |
| dc.description.abstract | In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables. We apply our results to a system of nonlinear differential equations for functions of one variable and to the nonlinear hyperbolic partial integrodifferential equation in n-independent variables. These results extend the Gronwall type inequalities obtained by Pachpatte [6] and Oguntuase [5]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Denche, M., & Khellaf, H. (2007). Integral inequalities similar to Gronwall inequality. <i>Electronic Journal of Differential Equations, 2007</i>(176), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14395 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Integral inequality | |
| dc.subject | Subadditive and submultiplicative function | |
| dc.subject | Nonlinear partial differential equation | |
| dc.title | Integral inequalities similar to Gronwall inequality | en_US |
| dc.type | Article |