Ordinary Differential Equations presents a unified and comprehensive treatment to a wide variety of topics including Initial Value Problems, Boundary Value Problems, Green's Function, Stability Analysis and Coloured Theory using abstract formulation in the underlying spaces and hence amenable to the modern tools of linear and Nonlinear Analysis. It brings clarity by displaying theoretical results with illustrative examples and graphics at appropriate places.
Table of Contents
• Preface • Introduction to Ordinary Differential Equations • Mathematical Preliminaries • Initial Value Problems • Linear System and Transition Matrix • Stability Analysis • Series Solution • Boundary Value Problems • Control Theory of Linear Systems • Index.