The work collects the most valuable results presented at the Congress on Differential Equations and Applications (CEDYA) given in Cadiz in 2015. It supports further research in Differential Equations, Numerical Analysis, Mechanics, Control and Optimization. In particular, it brings readers to gain an overview of specific problems of interest in the current mathematical research related to Partial Differential Equations, Ordinary Differential Equations, Numerical Analysis and Numerical Simulation, Control and Optimization, Numerical Linear Algebra, Dynamical Systems, Applied Mathematics for...