Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Advances in Discrete Mathematics and Applications) (1584887656)

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Author: Elias Camouzis, G. Ladas

Publisher: Chapman & Hall/CRC (2007)

Binding: Hardcover, 576 pages

pricer: $109.95

ISBN-10: 1584887656

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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.

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	Science/Engineering Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures Elias Camouzis, G. Ladas “Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures" Chapman & Hall/CRC \| 2007-11-16 \| ISBN: 1584887656 \| 576 pages \| PDF \| 1,8 Mb
	Science/Engineering Advanced Topics in Difference Equations (Mathematics and Its Applications) R.P. Agarwal, Patricia J.Y. Wong "Advanced Topics in Difference Equations (Mathematics and Its Applications)"Publisher: Springer 1997 \| 520 Pages \| ISBN: 0792345215 \| djvu \| 4 MBThis monograph is a collection of the results the authors ha ...
	Science/Engineering Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications): E.A. Grove, G. Ladas Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications): E.A. Grove, G. Ladas Chapman and Hall/CRC \| ISBN: 0849331560 \| 2004-12-16 \| PDF / djvu (ocr) \| 392 pages \| 4.45 / 1.61 Mb Sharkovsky's Theorem, Li and ...
	Science/Engineering Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering 181) Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering 181)By V. Lakshmikantham, Donato TrigiantePublisher: Academic Press \| 242 pages \| 1988-05-12 \| ISBN: 0124341004 \| PDF \| 6.75 MBPrev ...
	Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics) Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics)By Ravi P. AgarwalPublisher: CRC \| 2000 \| 1000 Pages \| ISBN: 0824790073 \| DJVU \| 8.85 MB“A study of difference equations and inequa ...
	Study Discrete Groups in Space and Uniformization Problems (Mathematics and its Applications) B. Apanasov "Discrete Groups in Space and Uniformization Problems (Mathematics and its Applications)"Springer \| English \| 1991-06-30 \| ISBN: 0792302168 \| 500 pages \| DJVU \| 10 MBDownload links:DownloadMirrorMirrormirror>>> Download many int ...

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	Science/Engineering Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures Elias Camouzis, G. Ladas “Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures" Chapman & Hall/CRC \| 2007-11-16 \| ISBN: 1584887656 \| 576 pages \| PDF \| 1,8 Mb
	Science/Engineering Advanced Topics in Difference Equations (Mathematics and Its Applications) R.P. Agarwal, Patricia J.Y. Wong "Advanced Topics in Difference Equations (Mathematics and Its Applications)"Publisher: Springer 1997 \| 520 Pages \| ISBN: 0792345215 \| djvu \| 4 MBThis monograph is a collection of the results the authors ha ...
	Science/Engineering Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications): E.A. Grove, G. Ladas Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications): E.A. Grove, G. Ladas Chapman and Hall/CRC \| ISBN: 0849331560 \| 2004-12-16 \| PDF / djvu (ocr) \| 392 pages \| 4.45 / 1.61 Mb Sharkovsky's Theorem, Li and ...
	Science/Engineering Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering 181) Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering 181)By V. Lakshmikantham, Donato TrigiantePublisher: Academic Press \| 242 pages \| 1988-05-12 \| ISBN: 0124341004 \| PDF \| 6.75 MBPrev ...
	Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics) Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics)By Ravi P. AgarwalPublisher: CRC \| 2000 \| 1000 Pages \| ISBN: 0824790073 \| DJVU \| 8.85 MB“A study of difference equations and inequa ...
	Study Discrete Groups in Space and Uniformization Problems (Mathematics and its Applications) B. Apanasov "Discrete Groups in Space and Uniformization Problems (Mathematics and its Applications)"Springer \| English \| 1991-06-30 \| ISBN: 0792302168 \| 500 pages \| DJVU \| 10 MBDownload links:DownloadMirrorMirrormirror>>> Download many int ...

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