ABSTRACT

This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.

part I|1 pages

Preliminaries

chapter 1|10 pages

Preliminaries of Functional Analysis

chapter 3|9 pages

Maximal Monotone Operators

part II|2 pages

Evolution Equations of Monotone Type

chapter 4|38 pages

First Order Evolution Equations

chapter 5|50 pages

Second Order Evolution Equations

chapter 6|6 pages

Heavy Ball with Friction Dynamical System

part III|1 pages

Difference Equations of Monotone Type

part IV|1 pages

Applications