Asymptotic Integration of Differential and Difference Equations

• Main Authors: Bodine, Sigrun (Author), Lutz, Donald A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Mathematics, 2129
• Subjects: Mathematics.; Difference equations.; Functional equations.; Differential equations.; Ordinary Differential Equations.; Difference and Functional Equations.

This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown th...

Table of Contents:

• Introduction, Notation, and Background
• Asymptotic Integration for Differential Systems
• Asymptotics for Solutions of Difference Systems
• Conditioning Transformations for Differential Systems
• Conditioning Transformations for Difference Systems
• Perturbations of Jordan Differential Systems
• Perturbations of Jordan Difference Systems
• Applications to Classes of Scalar Linear Differential Equations
• Applications to Classes of Scalar Linear Difference Equations
• Asymptotics for Dynamic Equations on Time Scales.