For the five days August 1-5, 2005 about 240 mathematicians from almost 40 countries attended the conference on Differential Equations and Applications at the Florida Institute of Technology (FIT), Melbourne, Florida. The main objective of the conference was to promote, encourage, cooperate, and bring together various disciplines of differential and difference equations. This volume contains selected 123 original papers which are based on the research lectures given at the conference.**About the AuthorRavi P. Agarwal is a professor of mathematics at Florida Institute of Technology, Melbourne, USA. He has been the Editor or Associate Editor of 35 journals or book series and is the author or coauthor of over 600 journal articles and more than 16 books. Dr. Agarwal received the Ph.D. degree (1973) in mathematics from the Indian Institute of Technology, Mardas, India.