Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 131, pp. 1-11. Title: Existence of solutions for a coupled quasilinear system on time scales Authors: Moulay Rchid Sidi Ammi (Moulay Ismail Univ., Errachidia, Morocco) Agnieszka B. Malinowska (Bialystok Univ. of Technology, Poland) Abstract: In this work we study a quasilinear system of equations on time scales. Using the Krasnoselskii fixed-point theorem, sufficient conditions are given for the existence of positive solutions. Submitted March 1, 2011. Published October 11, 2011. Math Subject Classifications: 37C25, 34B18, 47H10. Key Words: Time scales; fixed point theorem; positive solution; cone.