Nonlinear Functional Evolutions in Banach Spaces

Gives an account of the state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces. This book is suitable for graduate students and researchers working in diverse fields such as mathematics, physics, biochemistry, and sociology. There are many problems in partial differential equations with delay which arise from physical models with delay, biochemical models with delay and diffused population with delay. Some of them can be considered as nonlinear functional differential equations in appropriate infinite dimensional spaces. While other publications in the same field have treated linear functional differential equations and nonlinear functional differential equations in finite dimensional spaces, this book offers a detailed account of the state of the theory of nonlinear functional differential equations associated with multi-valued operators in infinite dimensional real Banach spaces. The techniques developed for nonlinear differential equations in real Banach spaces are applied in this book. This book will benefit graduate students and researchers working in such diverse fields as mathematics, physics, biochemistry, and sociology who are interested in the development and application of nonlinear functional differential equations. This volume should also be useful as supplementary reading for biologists and engineers.