Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Hardcover)

Language: English

Published by Taylor & Francis Inc, 2007

1584887656 / 9781584887652

Series: Book 3 of 3 - Advances in Discrete Mathematics and Applications

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  • Hardcover
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Hardcover. Extending and generalizing the results of rational equations,Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies. The book also provides numerous thought-provoking open problems and conjectures on the boundedness character, global stability, and periodic behavior of solutions of rational difference equations. After introducing several basic definitions and general results, the authors examine 135 special cases of rational difference equations that have only bounded solutions and the equations that have unbounded solutions in some range of their parameters. They then explore the seven known nonlinear periodic trichotomies of third order rational difference equations. The main part of the book presents the known results of each of the 225 special cases of third order rational difference equations. In addition, the appendices supply tables that feature important information on these cases as well as on the boundedness character of all fourth order rational difference equations. A Framework for Future Research The theory and techniques developed in this book to understand the dynamics of rational difference equations will be useful in analyzing the equations in any mathematical model that involves difference equations. Moreover, the stimulating conjectures will promote future investigations in this fascinating, yet surprisingly little known area of research. Focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies. This book provides thought-provoking open problems and conjectures on the boundedness character and global stability. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Seller Inventory # 9781584887652

Title
Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Hardcover)
Author
Elias Camouzis
Publisher
Taylor & Francis Inc
Publication year
2007
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1584887656
ISBN 13
9781584887652
Edition
1st Edition
Series
Book 3 of 3: Advances in Discrete Mathematics and Applications

AussieBookSeller

Truganina, VIC, Australia

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AbeBooks seller since June 22, 2007

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