Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 169, pp. 1-14. Title: Nonlinear delay integral inequalities for multi-variable functions Authors: Hassane Khellaf (Univ. of Mentouri, Constantine, Algeria) Mohamed el hadi Smakdji (Univ. of Mentouri, Constantine, Algeria) Abstract: In this article, we establish some nonlinear retarded integral inequalities in n independent variables. These inequalities represent a generalization of the results obtained in [1,9,12] for function of one and two variables. Our results can be used in the qualitative theory of delay partial differential equations and delay integral equations. Submitted August 5, 2011. Published December 18, 2011. Math Subject Classifications: 26D15, 26D20, 26D10. Key Words: Delay integral inequality; multi-variable function; delay partial differential equation.