Denche, MohamedKhellaf, Hassane2021-08-192021-08-192007-12-12Denche, M., & Khellaf, H. (2007). Integral inequalities similar to Gronwall inequality. <i>Electronic Journal of Differential Equations, 2007</i>(176), pp. 1-14.1072-6691https://hdl.handle.net/10877/14395In 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].Text14 pages1 file (.pdf)enAttribution 4.0 InternationalIntegral inequalitySubadditive and submultiplicative functionNonlinear partial differential equationIntegral inequalities similar to Gronwall inequalityArticle