Linear Maximal Monotone Operators and Singular Nonlinear Integral Equations of Hammerstein Type

Abstract

This chapter reviews linear maximal monotone operators and singular nonlinear integral equations of hammerstein type. In the application of the theory of monotone operators to the existence of solutions of nonlinear equations, the concept of maximal monotonicity plays a central role. It is therefore of importance to determine whether various concretely given monotone operators are maximal and to be able to generate maximal monotone operators satisfying given conditions.