This book presents and discusses new developments in the study of evolution equations. Topics discussed include a qualitative study of a perturbed critical semi-linear wave equation in variable metric; renormalised solution for a non-linear anisotropic degenerate parabolic equation; periodic solutions of impulsive evolution equations; non-linear spectral theory and controllability of semi-linear evolution equations; uniform exponential stability of linear skew-evolution semiflows and integral solutions for non-densely defined evolution equations.