Integral inequalities similar to Gronwall inequality
Texas State University-San Marcos, Department of Mathematics
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  and Oguntuase .
Integral inequality, Subadditive and submultiplicative function, Nonlinear partial differential equation
Denche, M., & Khellaf, H. (2007). Integral inequalities similar to Gronwall inequality. <i>Electronic Journal of Differential Equations, 2007</i>(176), pp. 1-14.