Abstract
Publisher Summary This chapter explores the stability of abstract evolution equations. In constructing a model of a complex system, some effects or processes may be approximated or ignored, and so the model is not usually capable of describing all of the dynamical characteristics of the actual system. This chapter presents two aspects of this problem. It explores the properties of existence, and the uniqueness and stability for nonlinear mathematical models, and presents the determination of a class of perturbations of the models for which these properties are conserved. It also explores the perturbations of linear semigroups and the perturbation theory of nonlinear autonomous m -accretive operators.
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