Electronic Journal of Differential Equations, Vol. 2005(2005), No. 42, pp. 1-42. Title: Nonlinear evolution equations Author: Chin-Yuan Lin (National Central Univ., Taiwan) Abstract: Nonlinear evolution equations are studied under various conditions. The methods used are based on the theory of difference equations. The results presented here are illustrated with examples. Submitted December 2, 2004. Published April 7, 2005. Math Subject Classifications: 47H15, 34G05. Key Words: Dissipative operators; operator semigroups; evolution operators.