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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Ahlbrandt, Calvin D. Discrete Hamiltonian systems (OCoLC)752482270 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Calvin D Ahlbrandt; A C Peterson |

ISBN: | 9781475724677 1475724675 |

OCLC Number: | 864560943 |

Notes: | Originally published: Dordrecht; London: Kluwer Academic, 1996. |

Description: | 1 online resource (xiv, 375 pages). |

Contents: | Preface. 1. Second Order Scalar Difference Equations. 2. Continued Fractions. 3. Symplectic Systems. 4. Discrete Variational Theory. 5. Symmetric Three Term Recurrence Relations. 6. Discrete Riccati Equations for Three Term Recurrences. 7. Green's Functions for Nonhomogeneous Second Order Difference Equations. 8. Disconjugacy Criteria. 9. Discrete Linear Hamiltonian Systems. References. Index. |

Series Title: | Kluwer texts in the mathematical sciences, v. 16. |

Responsibility: | by Calvin D. Ahlbrandt, University of Missouri and Allan C. Peterson, University of Nebraska. |

### Abstract:

In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations.
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Publisher Synopsis

`In short, the book is well written and includes all the recent results in this are. It will be very useful to undergraduate and postgraduate students in mathematics as well as to researchers in discrete integrable systems.' Mathematical Reviews, 98m Read more...

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