Description
Book SynopsisDiscovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those with minimal prior exposure to analysis, the foundation to understand what evolution equations are and how to work with them in various areas of practice.
After presenting the essentials of analysis, the book discusses homogenous finite-dimensional ordinary differential equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay, and nonlinear evolution equations. The final two chapters explore research topics, including nonlocal evolution equations. For each class of equations, the author develops a core of theoretical results concerning the existence and uniqueness of sol
Table of Contents
A Basic Analysis Toolbox. Homogenous Linear Evolution Equations in RN. Abstract Homogenous Linear Evolution Equations. Nonhomogenous Linear Evolution Equations. Semi-Linear Evolution Equations. Functional Evolution Equations. Implicit Evolution Equations. Delay Evolution Equations. Nonlinear Evolution Equations. Nonlocal Evolution Equations. Beyond Volume 1. Bibliography. Index.
