Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications

Author : V.L. Kocic
Publisher : Springer Science & Business Media
ISBN 13 : 9401717036
Total Pages : 237 pages
Book Rating : 4.38/5 ( download)

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Download or read book Global Behavior of Nonlinear Difference Equations of Higher Order with Applications written by V.L. Kocic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.

Author : E.A. Grove
Publisher : CRC Press
ISBN 13 : 0849331560
Total Pages : 395 pages
Book Rating : 4.65/5 ( download)

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Download or read book Periodicities in Nonlinear Difference Equations written by E.A. Grove and published by CRC Press. This book was released on 2004-12-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been fascinated with discovering periodicities in equations of higher order which for certain values of their parameters have one of the following characteristics: 1. Every solution of the equation is periodic with the same period. 2. Every solution of the equation is eventually periodic with a prescribed period. 3. Every solution of the equation converges to a periodic solution with the same period. This monograph presents their findings along with some thought-provoking questions and many open problems and conjectures worthy of investigation. The authors also propose investigation of the global character of solutions of these equations for other values of their parameters and working toward a more complete picture of the global behavior of their solutions. With the results and discussions it presents, Periodicities in Nonlinear Difference Equations places a few more stones in the foundation of the basic theory of nonlinear difference equations. Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further work in this area.

Author : Candace M. Kent
Publisher :
ISBN 13 : 9783110483024
Total Pages : pages
Book Rating : 4.25/5 ( download)

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Download or read book Nonlinear Nonautonomous Difference Equations written by Candace M. Kent and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : SuiSun Cheng
Publisher : Routledge
ISBN 13 : 1351428802
Total Pages : 206 pages
Book Rating : 4.04/5 ( download)

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Download or read book New Developments in Difference Equations and Applications written by SuiSun Cheng and published by Routledge. This book was released on 2017-09-29 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.

Author : Saber Elaydi
Publisher : Springer Science & Business Media
ISBN 13 : 0387230599
Total Pages : 547 pages
Book Rating : 4.97/5 ( download)

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Download or read book An Introduction to Difference Equations written by Saber Elaydi and published by Springer Science & Business Media. This book was released on 2005-03-29 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style

Author : Saber Elaydi
Publisher : Springer
ISBN 13 : 3030200167
Total Pages : 382 pages
Book Rating : 4.69/5 ( download)

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Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Saber Elaydi and published by Springer. This book was released on 2019-06-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timișoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017. It includes new and significant contributions in the field of difference equations, discrete dynamical systems and their applications in various sciences. Disseminating recent studies and related results and promoting advances, the book appeals to PhD students, researchers, educators and practitioners in the field.

Author : Saber Elaydi
Publisher : Springer Nature
ISBN 13 : 303125225X
Total Pages : 534 pages
Book Rating : 4.59/5 ( download)

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Download or read book Advances in Discrete Dynamical Systems, Difference Equations and Applications written by Saber Elaydi and published by Springer Nature. This book was released on 2023-03-25 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.

Author : Ravi P. Agarwal
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1268 pages
Book Rating : 4.80/5 ( download)

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Download or read book Proceedings of the Conference on Differential & Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir Dorodnitsyn
Publisher : CRC Press
ISBN 13 : 9781420083101
Total Pages : 344 pages
Book Rating : 4.04/5 ( download)

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Download or read book Applications of Lie Groups to Difference Equations written by Vladimir Dorodnitsyn and published by CRC Press. This book was released on 2010-12-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 0824744241
Total Pages : 294 pages
Book Rating : 4.43/5 ( download)

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Download or read book Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and published by CRC Press. This book was released on 2002-06-12 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."