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 eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Universitext ;
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Differential equations.; Analysis.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

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:

• First-Order Differential Equations
• Linear Systems
• Autonomous Systems
• Perturbation Methods
• The Self-Adjoint Second-Order Differential Equation
• Linear Differential Equations of Order n
• BVPs for Nonlinear Second-Order DEs
• Existence and Uniqueness Theorems.