Memoirs of the American Mathematical Society 1998; 81 pp; softcover Volume: 133 ISBN10: 082180779X ISBN13: 9780821807798 List Price: US$47 Individual Members: US$28.20 Institutional Members: US$37.60 Order Code: MEMO/133/632
 This volume studies multivalued evolution equations driven by timedependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, wellposedness properties are investigated and the precise relation between the properties of relaxability and wellposedness is established. Various examples of systems which fit in the abstract framework are analyzed. Readership Graduate students, research mathematicians, mathematical economists, and engineers working in nonlinear functional analysis, differential equations, control theory and optimizations. Table of Contents  Introduction
 Preliminaries: Mathematical background and terminology
 Evolution inclusions
 Optimal control
 Applications
 References
