An Introduction to Difference Equations
428 pages, parution le 01/09/1999
(2eme édition)
Résumé
Integrating both classical and modern treatments of
difference equations, this book contains the most updated
and comprehensive material on stability, Z-transform,
discrete control theory, asymptotic theory, continued
fractions and orthogonal polynomials. While the
presentation is simple enough for use by advanced
undergraduates and beginning graduates in mathematics,
engineering science, and economics, it will also be a
useful reference for scientists and engineers interested in
discrete mathematical models. The text covers a large set
of applications in a variety of disciplines, including
neural networks, feedback control, Markov chains, trade
models, heat transfer, propagation of plants, epidemic
models and host-parasitoid systems, with each section
rounded off by an extensive and highly selected set of
exercises.
Contents
Preface to the Second Edition
Preface to the First Edition
List of Symbols
1 Dynamics of First-Order Difference Equations 1
2 Linear Difference Equations of Higher Order 47
3 Systems of Difference Equations 105
4 Stability Theory 154
5 The Z-Transform Method 215
6 Control Theory 251
7 Oscillation Theory 296
8 Asymptotic Behavior of Difference Equations 315
9 Applications to Continued Fractions and Orthogonal
Polynomials 365
Answers to Selected Problems 395
Maple Programs 409
App. C Classical Orthogonal Polynomials 413
App. D Identities and Formulas 413
Bibliography 415
Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Saber N. Elaydi |
| Parution | 01/09/1999 |
| Édition | 2eme édition |
| Nb. de pages | 428 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 756g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387988306 |
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