Global Behavior of Nonlinear Difference Equations of Higher Order with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401717036
Total Pages : 237 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Global Behavior of Nonlinear Difference Equations of Higher Order with Applications by : V.L. Kocic

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.

Periodicities in Nonlinear Difference Equations

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Publisher : CRC Press
ISBN 13 : 0849331560
Total Pages : 395 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Periodicities in Nonlinear Difference Equations by : E.A. Grove

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.

Nonlinear Nonautonomous Difference Equations

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Publisher :
ISBN 13 : 9783110483024
Total Pages : pages
Book Rating : 4.4/5 (83 download)

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Book Synopsis Nonlinear Nonautonomous Difference Equations by : Candace M. Kent

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:

Advances in Discrete Dynamical Systems, Difference Equations and Applications

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Publisher : Springer Nature
ISBN 13 : 303125225X
Total Pages : 534 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Advances in Discrete Dynamical Systems, Difference Equations and Applications by : Saber Elaydi

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.

Difference Equations and Discrete Dynamical Systems

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Publisher :
ISBN 13 : 9814479217
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Difference Equations and Discrete Dynamical Systems by :

Download or read book Difference Equations and Discrete Dynamical Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Conference on Differential & Difference Equations and Applications

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Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1268 pages
Book Rating : 4.9/5 (453 download)

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Book Synopsis Proceedings of the Conference on Differential & Difference Equations and Applications by : Ravi P. Agarwal

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:

New Developments in Difference Equations and Applications

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Publisher : Routledge
ISBN 13 : 1351428802
Total Pages : 206 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis New Developments in Difference Equations and Applications by : SuiSun Cheng

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.

Handbook of Dynamic System Modeling

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Publisher : CRC Press
ISBN 13 : 9781420010855
Total Pages : 760 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis Handbook of Dynamic System Modeling by : Paul A. Fishwick

Download or read book Handbook of Dynamic System Modeling written by Paul A. Fishwick and published by CRC Press. This book was released on 2007-06-01 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic System Modeling explores a panoply of different types of modeling methods available for dynamical systems. Featuring an interdisciplinary, balanced approach, the handbook focuses on both generalized dynamic knowledge and specific models. It first introduces the general concepts, representations, and philosophy of dynamic models, followed by a section on modeling methodologies that explains how to portray designed models on a computer. After addressing scale, heterogeneity, and composition issues, the book covers specific model types that are often characterized by specific visual- or text-based grammars. It concludes with case studies that employ two well-known commercial packages to construct, simulate, and analyze dynamic models. A complete guide to the fundamentals, types, and applications of dynamic models, this handbook shows how systems function and are represented over time and space and illustrates how to select a particular model based on a specific area of interest.

Difference and Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871461
Total Pages : 452 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Difference and Differential Equations by : Saber Elaydi

Download or read book Difference and Differential Equations written by Saber Elaydi and published by American Mathematical Soc.. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.

Dynamics, Games and Science I

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Publisher : Springer Science & Business Media
ISBN 13 : 3642114563
Total Pages : 809 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Dynamics, Games and Science I by : Mauricio Matos Peixoto

Download or read book Dynamics, Games and Science I written by Mauricio Matos Peixoto and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology. The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008. The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.

Communications in Difference Equations

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Publisher : CRC Press
ISBN 13 : 1482283336
Total Pages : 428 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Communications in Difference Equations by : Saber N. Elaydi

Download or read book Communications in Difference Equations written by Saber N. Elaydi and published by CRC Press. This book was released on 2000-07-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well as related applications. Whether new to the area of research, or a veteran, this volume will be a valuable resource on the recent advances in the field of difference equations.

An Introduction to Difference Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387230599
Total Pages : 547 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to Difference Equations by : Saber Elaydi

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

Fuzzy Information and Engineering Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 3642036643
Total Pages : 1754 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Fuzzy Information and Engineering Volume 2 by : Bingyuan Cao

Download or read book Fuzzy Information and Engineering Volume 2 written by Bingyuan Cao and published by Springer Science & Business Media. This book was released on 2009-10-14 with total page 1754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceedings of the Third International Conference on Fuzzy Information and Engineering (ICFIE 2009) held in the famous mountain city Chongqing in Southwestern China, from September 26-29, 2009. Only high-quality papers are included. The ICFIE 2009, built on the success of previous conferences, the ICFIE 2007 (Guangzhou, China), is a major symposium for scientists, engineers and practitioners in the world to present their updated results, ideas, developments and applications in all areas of fuzzy information and engineering. It aims to strengthen relations between industry research laboratories and universities, and to create a primary symposium for world scientists in fuzzy fields as follows: Fuzzy Information; Fuzzy Sets and Systems; Soft Computing; Fuzzy Engineering; Fuzzy Operation Research and Management; Artificial Intelligence; Fuzzy Mathematics and Systems in Applications, etc.

Difference Equations, Special Functions and Orthogonal Polynomials

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Publisher :
ISBN 13 : 9814475467
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Difference Equations, Special Functions and Orthogonal Polynomials by :

Download or read book Difference Equations, Special Functions and Orthogonal Polynomials written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Difference Equations with Discrete Transform Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1475756577
Total Pages : 456 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Linear Difference Equations with Discrete Transform Methods by : A.J. Jerri

Download or read book Linear Difference Equations with Discrete Transform Methods written by A.J. Jerri and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is in tended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the di rect use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar meth ods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solv ing ordinary difference equations. The treatment closely parallels what many students have already learned about using the opera tional (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other meth ods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended eas ily to solve partial difference equations associated with initial and/or boundary value problems.

Focal Boundary Value Problems for Differential and Difference Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401715688
Total Pages : 302 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Focal Boundary Value Problems for Differential and Difference Equations by : R.P. Agarwal

Download or read book Focal Boundary Value Problems for Differential and Difference Equations written by R.P. Agarwal and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations. In this vast field of research, the conjugate (Hermite) and the right focal point (Abei) types of problems have received the maximum attention. This is largely due to the fact that these types of problems are basic, in the sense that the methods employed in their study are easily extendable to other types of prob lems. Moreover, the conjugate and the right focal point types of boundary value problems occur frequently in real world problems. In the monograph Boundary Value Problems for Higher Order Differential Equations published in 1986, we addressed the theory of conjugate boundary value problems. At that time the results on right focal point problems were scarce; however, in the last ten years extensive research has been done. In Chapter 1 of the mono graph we offer up-to-date information of this newly developed theory of right focal point boundary value problems. Until twenty years ago Difference Equations were considered as the dis cretizations of the differential equations. Further, it was tacitly taken for granted that the theories of difference and differential equations are parallel. However, striking diversities and wide applications reported in the last two decades have made difference equations one of the major areas of research.

Progress on Difference Equations and Discrete Dynamical Systems

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Publisher : Springer Nature
ISBN 13 : 3030601072
Total Pages : 440 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Progress on Difference Equations and Discrete Dynamical Systems by : Steve Baigent

Download or read book Progress on Difference Equations and Discrete Dynamical Systems written by Steve Baigent and published by Springer Nature. This book was released on 2021-01-04 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.