Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of d...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1993, 1993
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| Edition: | 1st ed. 1993 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction and Preliminaries
- 2 Global Stability Results
- 3 Rational Recursive Sequences
- 4 Applications
- 5 Periodic Cycles
- 6 Open Problems and Conjectures
- A The Riccati Difference Equation
- B A Generalized Contraction Principle
- C Global Behavior of Systems of Nonlinear Difference Equations
- C.1 A Discrete Epidemic Model
- C.2 A Plant-Herbivore System
- C.3 Discrete Competitive Systems
- Author Index