Electronic Journal of Differential Equations, Vol. 2003(2003), No. 123, pp. 1-12. Title: On integral inequalities for functions of several independent variables Author: Hassane Khellaf (Univ. of Badji Mokhtar, Algeria) Abstract: This paper presents some non-linear integral inequalities for functions of $n$ independent variables. These results extend the Gronwall type inequalities obtained for two variables by Dragomir and Kim [2]. Submitted September 15, 2003. Published December 16, 2003. Math Subject Classifications: 45H40, 45K05. Key Words: Integral inequality; subadditive and submultiplicative function.