An Introduction to Difference Equations

• Main Author: Elaydi, Saber (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Edition: Third Edition.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Difference equations.; Functional equations.; Difference and Functional Equations.; Analysis.

The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs,...

Table of Contents:

• Dynamics of First-Order Difference Equations
• Linear Difference Equations of Higher Order
• Systems of Linear Difference Equations
• Stability Theory
• Higher-Order Scalar Difference Equations
• The Z-Transform Method and Volterra Difference Equations
• Oscillation Theory
• Asymptotic Behavior of Difference Equations
• Applications to Continued Fractions and Orthogonal Polynomials
• Control Theory.