The Theory of Differential Equations Classical and Qualitative /

• Main Authors: Kelley, Walter G. (Author), Peterson, Allan C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Universitext ;
• Subjects: Mathematics.; Differentiable dynamical systems.; Differential Equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-5783-2

For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most text...

Table of Contents:

• - Preface
• 1 First-Order Differential Equations
• 2 Linear Systems
• 3 Autonomous Systems
• 4 Perturbation Methods
• 5 The Self-Adjoint Second-Order Differential Equation
• 6 Linear Differential Equations of Order n
• 7 BVPs for Nonlinear Second-Order DEs
• 8 Existence and Uniqueness Theorems
• Solutions to Selected Problems
• Bibliography
• Index.