This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). It will be titled “International conference on Advances in discrete dynamical systems”. ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute.These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America