Willkommen, schön sind Sie da!
Logo Ex Libris

Discrete Hamiltonian Systems

  • Fester Einband
  • 376 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of C... Weiterlesen
CHF 345.00
Print on demand - Exemplar wird für Sie besorgt.

Beschreibung

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. 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. Motivation for our approach to difference equations came from the work of Harris, Vaughan, Hartman, Reid, Patula, Hooker, Erbe & Van, and Bohner.

Zusammenfassung
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.

Inhalt

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.

Produktinformationen

Titel: Discrete Hamiltonian Systems
Untertitel: Difference Equations, Continued Fractions, and Riccati Equations
Autor:
EAN: 9780792342779
ISBN: 978-0-7923-4277-9
Format: Fester Einband
Genre: Mathematik
Anzahl Seiten: 376
Gewicht: 1600g
Größe: H240mm x B240mm x T160mm
Jahr: 1996
Auflage: 1996

Bewertungen

Gesamtübersicht

Meine Bewertung

Bewerten Sie diesen Artikel


Zuletzt angesehen
Verlauf löschen